Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Covarian mappings and coupled fiexd point results in bipolar metric spaces115465010.22075/ijnaa.2021.4650ENG.N.V.KishoreDepartment of Engineering Mathematics, Sagi Rama Krishnam Raju Engineering College, Chinamiram, Bhimavaram -534
204, Andhra Pradesh, IndiaK.P.R.RaoDepartment of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur - 522 510, Andhra Pradesh, IndiaHuseyinIsIkDepartment of Mathematics, Mus Alparslan University, 49250 Mus, TurkeyB.Srinuvasa RaoDepartment of Mathematics, Dr. B. R. Ambedkar University, Srikakulam, Etcherla, Andhra Pradesh 532410, Andhra
Pradesh, IndiaA.SombabuDepartment of Mathematics, Sasi Institute of Technology & Engineering, Sasi College Road, West Godavari District, near
Aerodrome, Tadepalligudem, Andhra Pradesh 534101, IndiaJournal Article20200419In this paper, we establish the existence and uniqueness of common coupled fixed point results for three covariant mappings in bipolar metric spaces. Moreover, we give an illustration which presents the applicability of the achieved results also we provided applications to homotopy theory as well as integral equations.https://ijnaa.semnan.ac.ir/article_4650_7e45cb00b5048b695715cc4d12dc7d12.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A real time adaptive multiresolution adaptive Wiener filter based on adaptive neuro-fuzzy inference system and fuzzy evaluation1726465110.22075/ijnaa.2021.4651ENRamzanAbasnezhad VarziDepartment of Computer Engineering, Babol Branch, Islamic Azad University, Babol, Iran.JavadVahidiDepartment of Mathematics, Iran University of Science and Technology, Tehran 1684613114, Iran.
Department of Mathematical Sciences, University of South Africa, Pretoria 0002, South Africa.HomayunMotameniDepartment of Computer Engineering, Sari Branch, Islamic Azad University, Sari, Iran.0000-0003-2150-2811Journal Article20200510In this paper, a real-time denoising filter based on the modelling of stable hybrid models is presented. The hybrid models are composed of the shearlet filter and the adaptive Wiener filter in different forms. The optimization of various models is accomplished by the genetic algorithm. Next, regarding the significant relationship between optimal models and input images, changing the structure of optimal models for image denoising is modelled by the ANFIS. The eight hundred digital images are used as train images. For eight hundred training images, sixty-seven models are found. For integrated evaluation, the amounts of image attributes such as Peak Signal Noise Ratio, Signal Noise Ratio, Structural Similarity Index, Mean Absolute Error and Image Quality Assessment are evaluated by the Fuzzy deduction system. Finally, for the features of a sample noisy image as test data, the proposed denoising model of ANFIS is compared with wavelet filter in 2 and 4 levels, Fast bilateral filter, TV-L1, Median, shearlet filter and the adaptive Wiener filter. In addition, the run time of the proposed method is evaluated. Experiments show that the proposed method has better performance than others.https://ijnaa.semnan.ac.ir/article_4651_7f3f4a9bf38ac5c9f2273a207a4f41db.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A numerical solution of variable order diffusion and wave equations2736465210.22075/ijnaa.2021.4652ENNematollahKadkhodaDepartment of Mathematics, Faculty of Basic Sciences, Bozorgmehr University of Qaenat, Qaenat, Iran.HosseinJafariDepartment of Mathematics, University of Mazandaran, Babolsar, Iran.
Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa.R.M.GanjiDepartment of Mathematics, University of Mazandaran, Babolsar, Iran.Journal Article20200720In this work, we consider variable order difusion and wave equations. The derivative is described in the Caputo sence of variable order. We use the Genocchi polynomials as basic functions and obtain operational matrices via these polynomials. These matrices and collocation method help us to convert variable order diffusion and wave equations to an algebraic system. Some examples are given to show the validity of the presented method.https://ijnaa.semnan.ac.ir/article_4652_f52d1f896a6591001c7fd1727ab7e69f.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A new technique of reduce differential transform method to solve local fractional PDEs in mathematical physics3744465310.22075/ijnaa.2021.4653ENHassanKamil JassimDepartment of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.JavadVahidiDepartment of Mathematics, Iran University of Science and Technology, Tehran 1684613114, Iran.
Department of Mathematical Sciences, University of South Africa, Pretoria 0002, South Africa.Journal Article20201020In this manuscript, we investigate solutions of the partial differential equations (PDEs) arising in mathematical physics with local fractional derivative operators (LFDOs). To get approximate solutions of these equations, we utilize the reduce differential transform method (RDTM) which is based upon the LFDOs. Illustrative examples are given to show the accuracy and reliable results. The obtained solutions show that the present method is an efficient and simple tool for solving the linear and nonlinear PDEs within the LFDOs.https://ijnaa.semnan.ac.ir/article_4653_333310b9c157555f2f7b292d61f95da3.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A meta-heuristic clustering method to reduce energy consumption in Internet of things4558465710.22075/ijnaa.2021.4657ENEhsanHeidariDepartment of Computer Engineering, Sari Branch, Islamic Azad University, Sari, Iran0000-0002-0848-317XHomayunMotameniDepartment of Computer Engineering, Sari Branch, Islamic Azad University, Sari, Iran0000-0003-2150-2811AliMovagharDepartment of Computer Engineering, Sharif University of Technology, Tehran, Iran0000-0002-6803-6750Journal Article20200426The Internet of Things (IoT) is an emerging phenomenon in the field of communication, in which smart objects communicate with each other and respond to user requests. The IoT provides an integrated framework providing interoperability across various platforms. One of the most essential and necessary components of IoT is wireless sensor networks. Sensor networks play a vital role in the lowest level of IoT. Sensors in sensor networks use batteries which are not replaceable, and hence, energy consumption becomes of great importance. For this reason, many algorithms have been recently proposed to reduce energy consumption. In this paper, a meta-heuristic method called whale optimization algorithm(WOA) is used to clustering and select the optimal cluster head in the network. Factors such as residual energy, shorter distance, and collision reduction have been considered to determine the optimal cluster head. To prove the optimal performance of the proposed method, it is simulated and compared with three other methods in the same conditions. It outperforms the other methods in terms of energy consumption and the number of dead nodes.https://ijnaa.semnan.ac.ir/article_4657_3814331aca46a0fed014e98d5b27c04f.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Linkage factors optimization of multi-outputs of compliant mechanism using response surface5974465810.22075/ijnaa.2021.4658ENRamiAlfattaniDepartment of Mechanical Engineering, College of Engineering and Islamic Architecture, Umm Al-Qura University,
Makkah, Kingdom of Saudi ArabiaMohammedYunusDepartment of Mechanical Engineering, College of Engineering and Islamic Architecture, Umm Al-Qura University,
Makkah, Kingdom of Saudi Arabia0000-0003-1116-4978TurkiAlamroDepartment of Mechanical Engineering, College of Engineering and Islamic Architecture, Umm Al-Qura University,
Makkah, Kingdom of Saudi ArabiaIbrahimAlnaserDepartment of Mechanical Engineering, College of Engineering and Islamic Architecture, Umm Al-Qura University,
Makkah, Kingdom of Saudi ArabiaJournal Article20200228This paper presents a linkage factors synthesis and multi-level optimization technique for bi-stable compliant mechanism. The linkage synthesis problem is modeled as multiple level factors and responses optimization problem with constraints. The bi-stable compliant mechanism is modeled as a crank slider mechanism using pseudo-rigid-body model (PRBM). The model exerts the large deflection of flexible element which explains compliant mechanism’s bi-stable performance. The design concept is applied on variable input parameters subsets. Though the effect of compliant mechanism process factors on Fmax and PRBM deflection angle (Theta-cap Θ1) are contradictory when studied individually as no response gives best process quality. The relationship model between input factors and responses characteristics were generated by ANOVA and optimized by response surface methodology (RSM). ANOVA shown more significant factors are the initial angle of link1 (θ1) and material thickness (t). The Box-Behnken design of RSM is applied with a desirability function approach to determine the optimum set of parameters for minimizing Fmax and maximizing the Theta-cap (Θ1). Thus, this technique shown flexibility based on the product application could be tested and established.https://ijnaa.semnan.ac.ir/article_4658_362234389ac000b2d052af105a7e4781.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Excellence of financial reporting information and investment productivity7586465910.22075/ijnaa.2021.4659ENYidanZhuSchool of Housing, Building and Planning, Universiti Sains Malaysia (USM), MalaysiaErnawatiMustafa KamalSchool of Housing, Building and Planning, Universiti Sains Malaysia (USM), MalaysiaGuoshengGaoSchool of Physics, Universiti Sains Malaysia (USM), MalaysiaAlim AlAyub AhmedSchool of Accounting, Jiujiang University, Jiujiang, Jiangxi, ChinaA B MAsadullahKulliyyah of Economics and Management Sciences, International Islamic University Malaysia (IIUM), Malaysia.Praveen KumarDonepudiEnterprise Architect, Information Technology, UST-Global, Inc., Ohio, USAJournal Article20200210Objective –This study intends to examine the relationship between investment efficiency and financial information excellence. The study is also examining the moderating impact of sustainability on the relation between excellence in financial information and investment productivity. Methodology –The cumulative measurements are 668 firm-years and are made up of 257 subsamples of underinvestment and 411 sub-samples of overinvestment. This study may find no proof on the moderating effect of diversification on the relation between excellence in financial information and efficiency in investment. In the years 2016 to 2019, our samples are companies listed on the Dhaka Stock Exchange. Findings – The results indicate that financial information reporting quality (both for overinvestment and underinvestment sub-samples) has a positive association with investment performance. Although the evidence is not consistent across sub-samples, the test findings on the relationship between diversification and efficiency of investment appear to indicate a negative and substantial relationship between diversification and efficiency of investment. Research limitations/implications – The study finds no research investigating financial information quality and the productivity of investments. Moreover, it also discusses the regulating consequence for diversification on the correlation concerning financial knowledge and productivity of investment, which has not been examined in current studies as well. Originality/value – This research fills a void in the literature by providing understandings into performs followed by Bangladeshi companies in diversification effects in investment productivity.This study also has major consequences in providing additional proof of the connection between financial information and productivity of investment.https://ijnaa.semnan.ac.ir/article_4659_9ccd71f1f578ef006929956697b6d16a.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Automatic QoS-aware web services composition based on set-cover problem87109466410.22075/ijnaa.2021.4664ENMortezaKhani DehnoiDepartment of Computer Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.SaeedArabanDepartment of Computer Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, IranJournal Article20200204By definition, web-services composition works on developing merely optimum coordination among a number of available web-services to provide a new composed web-service intended to satisfy some users requirements for which a single web service is not (good) enough. In this article, the formulation of the automatic web-services composition is proposed as several set-cover problems and an approximation algorithm has been exploited to solve them. In proposed method, the web-service composition has been carried out within two main phases, the top-down expansion of the composition tree, and the production of composed service by bottom-up traversal of composition tree. In the first phase, the production of a composition tree (similar to the production of tree in problemsolving by searching) is proposed by starting from the output or post-conditions of the requested service towards its input or pre-conditions. Each node or state of the tree is a set of inputs and/or outputs or conditions, and services as tree edges illustrate the transition from one node to another. In the second phase, finding the path from the leaves of the produced composition tree to the root is considered equal to reaching the output of requested service, and this path specifies the involved services and the composition plan. The requested service input set determines the available leaves of the composition tree. To achieve each non-leaf node of the tree, a set-cover problem is produced and solved using a greedy approximation algorithm. If the production and solving of the set-cover problems continues hierarchically until it reaches the root node, the composition plan and cost of the required composition service will be specified. The main focus of this research is the joint sequential and parallel composition with the aim of producing near-optimal and QoS-aware composed services.https://ijnaa.semnan.ac.ir/article_4664_9768c09f62e15bf392531522635c1cf0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A method for analyzing the problem of determining the maximum common fragments of temporal directed tree, that do not change with time111118467110.22075/ijnaa.2021.4671ENAli RashidIbrahimDepartment of Applied Mathematics, College of Science University of Anbar, Ramadi, IraqJournal Article20200208In this study two actual types of problems are considered and solved: 1) determining the maximum common connected fragment of the T-tree (T-directed tree) which does not change with time; 2) determining all non-isomorphic maximum common connected fragments of the T-tree (T-directed tree) which do not change with time. The choice of the primary study of temporal directed trees and trees is justified by the wide range of their practical applications. Effective methods for their solution are proposed. Examples of the solution of the problem for temporal trees and temporal directed trees are given. It is shown that the experimental estimates of the computational complexity of the solution for problems of the temporal directed trees and the temporal trees.https://ijnaa.semnan.ac.ir/article_4671_f0db175ac1a103cde51eb1d106c47aa9.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Stability and convergence theorems of pointwise asymptotically nonexpansive random operator in Banach space119127468110.22075/ijnaa.2021.4681ENSabah HassanMalihDepartment of mathematics, college of Education for pure science (Ibn- AL-Haitham), university of Baghdad, Iraq.Journal Article20200210In this paper, we prove the existence of a random fixed point of by using pointwise asymptotically nonexpansive random operator and the stability resultsof two iterative schemes for random operator.https://ijnaa.semnan.ac.ir/article_4681_291cfc34f11439151cec240ba6509a9e.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Continuity in fundamental locally multiplicative topological algebras129141468510.22075/ijnaa.2019.13751.1715ENAliNaziri-KordkandiDepartment of Mathematics, Payame Noor University,IranAliZohriDepartment of Mathematics, Payame Noor University,Iran0000-0001-7829-5599FaribaErshadDepartment of Mathematics, Payame Noor University,IranBahmanYousefiDepartment of Mathematics, Payame Noor University,IranJournal Article20180119Abstract. In this paper, we first derive specific results concerning the continuity and upper semi-continuity of the spectral radius and spectrum functions on fundamental locally multiplicative topological algebras. We continue our investigation by further determining the automatic continuity of linear mappings and homomorphisms in these algebras.https://ijnaa.semnan.ac.ir/article_4685_ff241d794c4e5912b4864a77af09ab85.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Numerical solution of second order IVP by fuzzy transform method143156474810.22075/ijnaa.2020.21716.2289ENMostafaGhobadiDepartment of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran.MashallahMatinfarDepartment of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran.TofighAllahviranlooFaculty of engineering and natural sciences, Bahcesehir university, Istanbul, Turkey.0000-0002-6673-3560Journal Article20201102In this paper, we employed fuzzy transforms to present a new method for solving the problem through second-order fuzzy initial value. The advantage of the fuzzy transform method is that, unlike other methods (e.g. high-order fuzzy Taylor series), it does not require any higher-order derivative calculation, thus reducing computational cost. In two examples, the results of the newly proposed method were examined against several conventional methods, indicating the more desirable performance of the new method.https://ijnaa.semnan.ac.ir/article_4748_23a8bb179238aa8ad45a1359a9f1a3fc.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A robust optimization approach for a multi-period location-arc routing problem with time windows: A case study of a bank157173475210.22075/ijnaa.2019.16392.1868ENAtefehKahfiDepartment of Industrial Engineering, College of Engineering, University of Payame Noor, Tehran, IranSeyed MohammadSeyed HosseiniSchool of Industrial Engineering, Iran University of Science and Technology, Tehran, IranRezaTavakkoli-MoghaddamSchool of Industrial Engineering, College of Engineering, University of Tehran, P.O. Box: 11155-4563, Tehran, Iran0000-0002-6757-926XJournal Article20181103A Location-Arc Routing Problem (LARP) is a practical problem, while a few mathematical programming models have been considered for this problem. In this paper, a mixed non-linear programming model is presented for a multi-period LARP with the time windows under demand uncertainty. The time windows modeling in the arc routing problem is rarely. To the best our knowledge, it is the first time that the robust LARP model is verified and an optimal solution is presented for it. For this purpose, the CPLEX solver is used for solving the treasury location problems of a bank as a case study. These problems are node-based with close nods and can be transformed into arc-based. Therefore, the method LRP and LARP models can be used to solve these problems. The comparing results of the LRP and LARP models prove that the LARP has a better performance regarding timing and optimal solution. Furthermore, comparing the results of deterministic and robust LARP models for this case study shows the validity of the robust optimization approach.https://ijnaa.semnan.ac.ir/article_4752_80655ce3cb462e923fb5c55f2c35578f.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A credible threat against oil sanctions for Iran175178461410.22075/ijnaa.2020.19232.2068ENAbbasJavadianFaculty of Physics, Semnan University,
P. O. Box 35195-363, Semnan, Iran.Journal Article20191204In this study, we use game theory to analyze the current situation of Iran and the United States as a result of the US withdrawal from the Comprehensive Plan of Action and the imposition of finanancial and oil sanctions on Iran and Iran's resilience to these sanctions. We also present an oil strategy, as a credible threat, that helps Iran to get out of the sanctions.https://ijnaa.semnan.ac.ir/article_4614_2e7d95e138482f4a990a04eafc4b9511.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A note on some new Hermite--Hadamard type inequalities for functions whose $n$th derivatives are strongly $\eta$-convex179187475510.22075/ijnaa.2019.14882.1780ENSethKermausuorDepartment of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36101, USA0000-0002-8847-8820Eze RNwaezeDepartment of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36101, USAJournal Article20180521In this paper, we establish some new variants of the Hermite--Hadamard integral type inequalities for functions whose $n$th derivatives in absolute values at certain powers are strongly $\eta$-convex.https://ijnaa.semnan.ac.ir/article_4755_3c854b08c1dde0309735ee11fb6e8e64.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Deep inference: A convolutional neural networks method for parameter recovery of the fractional dynamics189201475710.22075/ijnaa.2021.4757ENNaderBiranvandFaculty of Sciences, Imam Ali University, Tehran, IranAmir HosseinHadian-RasananDepartment of Cognitive Modeling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, Tehran, IranAliKhaliliFaculty of Engineering, Imam Ali University, Tehran IranJamalAmani RadDepartment of Cognitive Modeling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, Tehran, IranJournal Article20200510Parameter recovery of dynamical systems has attracted much attention in recent years. The proposed methods for this purpose can not be used in real-time applications. Besides, little works have been done on the parameter recovery of the fractional dynamics. Therefore, in this paper, a convolutional neural network is proposed for parameter recovery of the fractional dynamics. The presented network can also estimate the uncertainty of the parameter estimation and has perfect robustness for real-time applications.https://ijnaa.semnan.ac.ir/article_4757_0fd3eaf2918d8b56e182e4bed2f0ec7e.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On the dynamics of a nonautonomous rational difference equation203213476010.22075/ijnaa.2020.4760ENMohamed AmineKerkerLaboratory of Applied Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, Annaba, 23000, Algeria0000-0003-2215-533XElbahiHadidiLaboratory of Applied Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, Annaba, 23000, AlgeriaAbdelouahabSalmiLaboratory of Applied Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, Annaba, 23000, AlgeriaJournal Article20200807In this paper, we study the following nonautonomous rational difference equation<br />\[<br />y_{n+1}=\frac{\alpha_n+y_n}{\alpha_n+y_{n-k}},\quad n=0,1,...,<br />\]<br />where $\left\{\alpha_n\right\}_{n\geq0}$ is a bounded sequence of positive numbers, $k$ is a positive integer and the initial values $y_{-k},...,y_0$ are positive real numbers. We give sufficient conditions under which the unique equilibrium $\bar{y}=1$ is globally asymptotically stable. Furthermore, we establish an oscillation result for positive solutions about the equilibrium point. Our work generalizes and improves earlier results in the literature.https://ijnaa.semnan.ac.ir/article_4760_0bf826df007ba7d87c0c0452f01c321d.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Four step hybrid block method for the direct solution of fourth order ordinary differential equations215229476210.22075/ijnaa.2021.4762ENRaftAbdelrahimDepartment of Mathematics, College of Art and Sciences-Tabarjal, Jouf University, Saudi ArabiaJournal Article20201007This paper proposes a direct four-step implicit hybrid block method for directly solving general fourth-order initial value problems of ordinary differential equations. In deriving this method, the approximate solution in the form of power series is interpolated at four points, i.e $ x_n, x_{n+1},x_{n+2},x_{n+3} $ while its forth derivative is collocated at all grid points, i.e $ x_n,x_{n+\frac{1}{4}},x_{n+1} , x_{n+2}, x_{n+\frac{5}{2}}, x_{n+3},x_{n+\frac{7}{2}} $ and $ x_{n+4} $ to produce the main continuous schemes. In order to verify the applicability of the new method, the properties of the new method such as local truncation error, zero stability, order and convergence are also established. The performance of the newly developed method is then compared with the existing methods in terms of error by solving the same test problems. The numerical results reveal that the proposed method produces better accuracy than several existing methods when solving the same initial value problems (IVPs) of second order ODEs.https://ijnaa.semnan.ac.ir/article_4762_29df2bfd1830fa1784148c5d423fcc3b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Approximating common fixed points of mean nonexpansive mappings in hyperbolic spaces231244477510.22075/ijnaa.2021.4775ENJeremiahN. EzeoraDepartment of Mathematics and Statistics, University of Port Harcourt, NigeriaChineduIzuchukwuSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South AfricaAkindeleA. MebawonduSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South AfricaOluwatosin TemitopeMewomoSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South AfricaJournal Article20201112In this paper, we prove some fixed points properties and demiclosedness principle for mean nonexpansive mapping in uniformly convex hyperbolic spaces. We further propose an iterative scheme for approximating a common fixed point of two mean nonexpansive mappings and establish some strong and $\bigtriangleup$-convergence theorems for these mappings in uniformly convex hyperbolic spaces. The results obtained in this paper extend and generalize corresponding results in uniformly convex Banach spaces, CAT(0) spaces and other related results in literature.https://ijnaa.semnan.ac.ir/article_4775_d5b33fb1a079f4cbdc3d4764eea45709.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Some fixed point theorems for $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces with application to fractional integral equations245260477610.22075/ijnaa.2021.4776ENFarzanehLotfyDepartment of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz, IranJalalHassanzadeh AslDepartment of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz, Iran0000-0001-8978-6030HassanRefaghatDepartment of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz, IranJournal Article20200404Recently Hamed H Alsulami et al introduced the notion of ($\alpha$-$\psi$)-rational type contractive mappings. They have been establish some fixed point theorems for the mappings in complete generalized metric spaces. In this paper, we introduce the notion of some fixed points theorems for $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces with application to fractional integral equations and give a common fixed point result about fixed points of the set-valued mappings.https://ijnaa.semnan.ac.ir/article_4776_0b2314b9ac1a12187173eae2966e3ea0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501An effective algorithm to solve option pricing problems261271478210.22075/ijnaa.2021.4782ENMojtabaMoradipourDepartment of Mathematics, Lorestan University, Khorramabad, IranJournal Article20200818We are aimed to develop a fast and direct algorithm to solve linear complementarity problems (LCP's) arising from option pricing problems. We discretize the free boundary problem of American options in temporal direction and obtain a sequence of linear complementarity problems (LCP's) in the finite dimensional Euclidian space $\mathbb{R}^m$. We develop a fast and direct algorithm based on the active set strategy to solve the LCP's. The active set strategy in general needs $O(2^m m^3)$ operations to solve $m$ dimensional LCP's. Using Thomas algorithm, we develop an algorithm with order of complexity $O(m)$ which can extremely speed up the computations.https://ijnaa.semnan.ac.ir/article_4782_59c7fd62925d15df4f6446ccf405aa46.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On certain properties for new subclass of meromorphic starlike functions273285478310.22075/ijnaa.2021.4783ENSirousMoradiDepartment of Mathematics, Faculty of science, Lorestan University, 68151-4-4316, Khorramabad, IranMohammadTaatiDepartment of Mathematics, Faculty of science, Payame Noor University, P.O.Box 19395-3697, Tehran, IranJournal Article20200610In this paper we studying some properties of starlike function of order $\lambda$ which satisfy in the condition<br />$$\Re(\frac{zf^{'}(z)}{f(z)}+\alpha\frac{z^{2}f^{''}(z)}{f(z)})<1-\lambda+\alpha$$<br />\\for all $z\in U=\{z:|z|<1\}$, where $f(z)=1+\sum_{k=1}^\infty a_{k}z^{k}$ is analytic in $U$, $0\leqslant\alpha<2$ and $0\leqslant\lambda<1$. Our results extend previos results given by Aghalary et al. (2009) and Wang et al.(2014).https://ijnaa.semnan.ac.ir/article_4783_5d016be9ee4046f94048883a61cb2661.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A generalization of Darbo's theorem with application to the solvability of systems of integral-differential equations in Sobolev spaces287300478410.22075/ijnaa.2021.4784ENHojjatollahAmiri KayvanlooDepartment of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, IranMahnazKhanehgirDepartment of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran0000-0002-7435-7307RezaAllahyariDepartment of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.Journal Article20180720In this article, we introduce the notion of $(\alpha,\beta)$-generalized Meir-Keeler condensing operator in a Banach space, a characterization using strictly L-functions and provide an extension of Darbo's fixed point theorem associated with measures of noncompactness. Then, we establish some results on the existence of coupled fixed points for a class of condensing operators in Banach spaces. As an application, we study the problem of existence of entire solutions for a general system of nonlinear integral-differential equations in a Sobolev space. Further, an example is presented to verify the effectiveness and applicability of our main results.https://ijnaa.semnan.ac.ir/article_4784_3105c7a7da67a6d012a275eeacf8370c.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On the efficient of adaptive methods to solve nonlinear equations301316479910.22075/ijnaa.2021.4799ENValiTorkashvandYoung Researchers and Elite Club, Shahr-e-Qods Branch, Islamic Azad University Tehran IranFarhangian University, Tehran, Iran0000-0001-8033-8279RezaEzzatiDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranJournal Article20190318The main goal of this work, obtaining a family of Steffensen-type iterative methods adaptive with memory for solving nonlinear equations, which uses three self-accelerating parameters. For this aim, we present a new scheme to construct the self-accelerating parameters and obtain a family of Steffensen-type iterative methods with memory. The self-accelerating parameters have the properties of simple structure and easy calculation, which do not increase the computational cost of the iterative methods. The convergence order of the new iterative methods has increased from 4 to 8. Also, these methods possess very high computational efficiency. Another advantage of the new method is that they remove the severe condition $f'(x)$ in a neighborhood of the required root imposed on Newton's method. Numerical comparisons have made to show the performance of the proposed methods, as shown in the illustrative examples.https://ijnaa.semnan.ac.ir/article_4799_44782ed726a8fa9912a68aff08714564.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Positive solutions for fractional-order nonlinear boundary value problems on infinite interval317335480010.22075/ijnaa.2021.4800ENIlkayYaslan KaracaDepartment of Mathematics, Faculty of Science, Ege University, 35100 Bornova, Izmir, TurkeyDonduOzDepartment of Mathematics, Faculty of Science, Ege University, 35100 Bornova, Izmir, TurkeyJournal Article20180626In this paper, Avery-Henderson (Double) fixed point theorem and Ren fixed point theorem are used to investigate the existence of positive solutions for fractional-order nonlinear boundary value problems on infinite interval. As applications, some examples are given to illustrate the main results.https://ijnaa.semnan.ac.ir/article_4800_b4f80a15aafc33ace3af7feaf51da507.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Multi-point boundary value problems of higher-order nonlinear fractional differential equations337349480310.22075/ijnaa.2021.4803ENİsmailYaslanDepartment of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, TurkeyJournal Article20190328We investigate the existence and uniqueness of solutions for multi-point nonlocal boundary value problems of higher-order nonlinear fractional differential equations by using some well known fixed point theorems.https://ijnaa.semnan.ac.ir/article_4803_4c280646776b76394aee9f96d0d1d3de.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Comparative analysis of parallel algorithms for solving oil recovery problem using CUDA and OpenCL351364480910.22075/ijnaa.2021.4809ENTimurImankulovYessenov University, Aktau, KazakhstanAl-Farabi Kazakh National University, Almaty, KazakhstanBeimbetDaribayevAl-Farabi Kazakh National University, Almaty, KazakhstanSaltanbekMukhambetzhanovAl-Farabi Kazakh National University, Almaty, KazakhstanJournal Article20201010In this paper the implementation of parallel algorithm of alternating direction implicit (ADI) method has been considered. ADI parallel algorithm is used to solve a multiphase multicomponent fluid flow problem in porous media. There are various technologies for implementing parallel algorithms on the CPU and GPU for solving hydrodynamic problems. In this paper GPU-based (graphic processor unit) algorithm was used. To implement the GPU-based parallel ADI method, CUDA and OpenCL were used. ADI is an iterative method used to solve matrix equations. To solve the tridiagonal system of equations in ADI method, the parallel version of cyclic reduction (CR) method was implemented. The cyclic reduction is a method for solving linear equations by repeatedly splitting a problem as a Thomas method. To implement of a sequential algorithm for solving the oil recovery problem, the implicit Thomas method was used. Thomas method or tridiagonal matrix algorithm is used to solve tridiagonal systems of equations. To test parallel algorithms personal computer installed Nvidia RTX 2080 graphic card with 8 GB of video memory was used. The computing results of parallel algorithms using CUDA and OpenCL were compared and analyzed. The main purpose of this research work is a comparative analysis of the parallel algorithm computing results on different technologies, in order to show the advantages and disadvantages each of CUDA and OpenCL for solving oil recovery problems.https://ijnaa.semnan.ac.ir/article_4809_4a34a76db7eec38db735f6c1916d6227.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Stable numerical solution of an inverse coefficient problem for a time fractional reaction-diffusion equation365383481010.22075/ijnaa.2021.4810ENAfshinBabaeiDepartment of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, P.O. Box: 47416-95447, Babolsar, Iran.0000-0002-6980-9786SeddighehBanihashemiDepartment of Applied Mathematics, University of Mazandaran, P.O. Box: 47416-95447, Babolsar, IranJavadDamirchiDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, IranJournal Article20171011In this paper, an inverse problem of determining an unknown reaction coefficient in a one-dimensional time-fractional reaction-diffusion equation is considered. This inverse problem is generally ill-posed. For this reason, the mollification regularization technique with the generalized cross-validation criteria will be employed to find an equivalent stable problem. Afterward, a finite difference marching scheme is introduced to solve this regularized problem. The stability and convergence of the numerical solution are investigated. In the end, some numerical examples are presented to verify the ability and effectiveness of the proposed algorithm.https://ijnaa.semnan.ac.ir/article_4810_2d338d2e33ed60b8adee0e2f6bf16946.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A new approach for solution of telegraph equation385396481110.22075/ijnaa.2021.4811ENMohammadZarebniaDepartment of Mathematics, University of Mohaghegh Ardabili,
56199-11367 Ardabil, IranRezaParvazDepartment of Mathematics, University of Mohaghegh Ardabili,
56199-11367 Ardabil, IranJournal Article20170829In this paper, B-spline collocation method is developed for the solution of one-dimensional hyperbolic telegraph equation. The convergence of the method is proved. Also the method is applied on some test examples and the numerical results have been compared with the analytical solutions. The $L_\infty$,$L_2$ and Root-Mean-Square errors (RMS) in the solutions show the efficiency of the method computationally.https://ijnaa.semnan.ac.ir/article_4811_b447bc35b46fb4bcf147022507db6da6.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On $J$-class $C_0$-semigroups of operators397403481210.22075/ijnaa.2021.4812ENMohammadJanfadaDepartment of Pure Mathematics, Ferdowsi University of Mashhad, International Campus, Mashhad, IranAbolfazlNezhadali BaghanDepartment of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, IranJournal Article20170827In this paper, locally topologically transitive (or J-class) $C_0$-semigroups of operators on Banach spaces are studied. Some similarity and differences of locally transitivity and hypercyclicity of $C_0$-semigroups are investigated. Next the Kato's limit of a sequence of $C_0$-semigroups are considered and their locally transitivity relations are studied.https://ijnaa.semnan.ac.ir/article_4812_99d16ebb7ece04b1b39d62dedc016be4.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Existence theory for higher-order nonlinear ordinary differential equations with nonlocal Stieltjes boundary conditions405417481310.22075/ijnaa.2021.4813ENBashirAhmadDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia0000-0001-5350-2977AhmedAlsaediDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaNadaAl-MalkiDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaJournal Article20171011In this paper, we develop the existence theory for some boundary value problems of nonlinear $nth$-order ordinary differential equations supplemented with nonlocal Stieltjes boundary conditions. Our results are based on some standard theorems of fixed point theory and are well illustrated with the aid of examples.https://ijnaa.semnan.ac.ir/article_4813_9aece87436f8a8e41f10a2fbdb15858f.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501The effect of changes in sealing wall and horizontal drainage of Golfaraj dam on the values of lifting pressure parameters and maximum outlet gradient419432481510.22075/ijnaa.2021.4815ENKambizMashkabadiCivil Engineering of Geotechnics, Tabriz Branch, Islamic Azad University, Tabriz, Iran.YousefZandiCivil Engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran.Journal Article20200630Dams are always considered as infrastructure structures and have vital value. An earthen dam is a body consisting of discontinuous soil particles of various sizes that need to be placed in front of a stream of water to store it. As water is stored behind the dam and its surface area increases, the potential energy of the water particles increases and due to its porous nature, it begins to move in it. Today, the main problem that has attracted the attention of engineers is the issue of seepage. So that the presence of seepage in earthen dams is inevitable. The aim of the present study was to investigate the different positions of the sealing wall and to select the best angle, length, number and distance, as well as to select the appropriate length for horizontal drainage. Due to the geotechnical conditions, it is against the phenomenon of rug and lifting force. GeoStudio software is a collection of soil mechanics software based on finite element methods through which various modellings and analyzes can be examined. This software includes various models such as SEEP / W which is used for flow analysis and seepage. In the present study, the SEEP / W model of this software package has been used. The SEEP / W model is based on the Darcy relation, which expresses the passage of water flow through the soil in both saturated and unsaturated states. The results showed that for the sealing wall located above the core, an angle of 20 degrees and for the sealing wall located downstream of the core, an angle of 100 degrees are suitable. Also, the optimal length of the sealing wall is 24 meters and its optimal number is 2. Increasing the distance between the two vertical sealing walls has increased the lifting pressure and reduced the maximum outlet gradient. Increasing the horizontal drainage length reduced the maximum output gradient, while having little effect on the uplift pressure.https://ijnaa.semnan.ac.ir/article_4815_a02900205779e71570df4a951fc5a3e4.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Stochastic approach for noise analysis and parameter estimation for RC and RLC electrical circuits433444482010.22075/ijnaa.2021.4820ENParisaNabatiFaculty of Science, Urmia University of Technology, Urmia, IranRahmanFarnooshFaculty of Mathematics, Iran University of Science and Technology, Tehran, IranJournal Article20171019The main focus of this paper is to examine the effects of Gaussian white noise and Gaussian colored noise perturbations on the voltage of RC and RLC electrical circuits. For this purpose, the input voltage is assumed to be corrupted by the white noise and the charge is observed at discrete time points. The deterministic models will be transferred to stochastic differential equations and these models will be solved analytically using Ito's lemma. Random colored noise excitations, more close to real environmental excitations, so Gaussian colored noise is considered in these electrical circuits. Scince there is not always a closed form analytical solution for stochastic differential equations, then these models will be solved numerically based on the Euler- maruyama scheme. The parameter estimation for these stochastic models is investigated using the least square estimator when the parameters are missing data that it is a concern in electrical engeineering. Finally, some numerical simulations via Matlab programming are carried out in order to show the efficiency and accuracy of the present work.https://ijnaa.semnan.ac.ir/article_4820_c999aceb10622f9ff27dcbc0204e43a5.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A modified optimization method for optimal control problems of continuous stirred tank reactor445459482310.22075/ijnaa.2021.4823ENMitraSalimiDepartment of Mathematics, Payame Noor University, Tehran, P.O. Box. 19395-3697, IranAkbarHashemi BorzabadiDepartment of Applied Mathematics, University of Science and Technology of Mazandaran, Behshahr, IranSeyed HamedHashemi MehneDepartment of Avionics, Aerospace Research Institute, Tehran, 14665-834, Iran0000-0002-3659-0992AghilehHeydariDepartment of Mathematics, Payame Noor University, Tehran, P.O. Box. 19395-3697, IranJournal Article20200719Continuous stirred tank reactor (CSTR) is an important and constructive part in various chemical and process industries and therefore it is necessary to control the process in optimal temperature and concentration conditions. Because of the nonlinear nature and limits of the control input, solving this problem is very difficult. To achieve a sub-optimal control policy for chemical processes, we focused on a new construction model. Then, a two-phase algorithm, denoted as modified sequential general variable neighborhood search (MSGVNS) algorithm based on three local searches that use efficient neighborhood interchange has been employed to solve CSTR problems numerically. The results of the proposed method show that its convergence to the exact solution is achieved by the accuracy comparable to other numerical algorithms in few times.https://ijnaa.semnan.ac.ir/article_4823_6b996c88c9d5fb8f3bddde2398ed347c.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501E-Bayesian estimation of parameters of inverse Weibull distribution based on a unified hybrid censoring scheme461471482510.22075/ijnaa.2021.4825ENShahramYaghoubzadeh ShahrestaniDepartment of Statistics, Payame Noor University, P. O. Box 19395-4697, Tehran, IranRezaZareiDepartment of Statistics, Faculty of Mathematical Sciences, University of Guilan, Rasht, IranParvizMalekzadehDepartment of Statistics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, IranJournal Article20200512The combination of generalization Type-I hybrid censoring and generalization Type-II hybrid censoring schemes create a new censoring called a unified hybrid censoring scheme. Therefore, in this study, the E-Bayesian estimation of parameters of the inverse Weibull distribution is obtained under the unified hybrid censoring scheme, and the efficiency of the proposed method was compared with the Bayesian estimator using Monte Carlo simulation and a real data set.https://ijnaa.semnan.ac.ir/article_4825_b29e532af9935b869b9e91320d90f1cf.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501The arrow domination in graphs473480482610.22075/ijnaa.2021.4826ENSuha JaberRadhiDepartment of Mathematics, College of Education for Pure Sciences,
University of Thi-Qar, Thi-Qar, IraqMohammedA. AbdlhuseinDepartment of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, IraqAyed ElayoseHashooshDepartment of Mathematics, College of Education for Pure Sciences,
University of Thi-Qar, Thi-Qar, IraqJournal Article20201210The arrow domination is introduced in this paper with its inverse as a new type of domination. Let $G$ be a finite graph, undirected, simple and has no isolated vertex, a set $D$ of $V(G)$ is said an arrow dominating set if $|N(w)\cap (V-D)|=i$ and $|N(w)\cap D|\geq j$ for every $w \in D$ such that $i$ and $j$ are two non-equal positive integers. The arrow domination number $\gamma_{ar}(G)$ is the minimum cardinality over all arrow dominating sets in $G$. Essential properties and bounds of arrow domination and its inverse when $i=1$ and $j=2$ are proved. Then, arrow domination number is discussed for several standard graphs and other graphs that formed by join and corona operations.https://ijnaa.semnan.ac.ir/article_4826_feb89c6dfd48529e1560f0505d4fe521.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Solution of a generalized two dimensional fractional integral equation481492482710.22075/ijnaa.2021.4827ENDipankarSahaDepartment of Mathematics, National Institute of Technology Silchar, IndiaMausumiSenDepartment of Mathematics, National Institute of Technology Silchar, IndiaJournal Article20190523This paper deals with existence and local attractivity of solution of a quadratic fractional integral equation in two independent variables. The solution space has been considered to be the Banach space of all bounded continuous functions defined on an unbounded interval. The fundamental tool used for the purpose is the notion of noncompactness and the celebrated Schauder fixed point principle. Finally an example has been provided at the end in support of the result.https://ijnaa.semnan.ac.ir/article_4827_151221dd4a4f0b05a8868f9bb5744510.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501An overview of Bayesian prediction of future record statistics using upper record ranked set sampling scheme493507482810.22075/ijnaa.2021.4828ENEhsanGolzade GerviDepartment of Statistics, University of Payame Noor, 19395-4697 Tehran, IranParvizNasiriDepartment of Statistics, University of Payame Noor, 19395-4697 Tehran, IranMahdiSalehiDepartment of Mathematics and Statistics, University of Neyshabur, Neyshabur, IranJournal Article20200525Two sample prediction is considered for a one-parameter exponential distribution. In practical experiments using sampling methods based on different schemes is crucial. This paper addresses the problem of Bayesian prediction of record values from a future sequence, based on an upper record ranked set sampling scheme. First, under an upper record ranked set sample (RRSS) and different values of hyperparameters, point predictions have been studied with respect to both symmetric and asymmetric loss functions. These predictors are compared in the sense of their mean squared prediction errors. Next, we have derived two prediction intervals for future record values. Prediction intervals are compared in terms of coverage probability and expected length. Finally, a simulation study is performed to compare the performances of the predictors. The real data set is also analyzed for an illustration of the findings.https://ijnaa.semnan.ac.ir/article_4828_b2b58b6f5a8b3db4b117ecbaef378d92.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On the $\Phi$-reflexive property of $(X,\Upsilon)$-structures509519482910.22075/ijnaa.2021.4829ENAkbarDehghanezhadSchool of Mathematics, Iran University of Science and Technology,
Narmak, 16846-13114, Tehran, IranSamanShahriyariDepartment of Mathematics, Yazd University, 89195-741, Yazd, IranJournal Article20171219We use $\Phi$-reflexive property on some geometrical structures(Fr\"{o}licher spaces, Sikorski spaces and diffeological spaces) to prove that some results on $(X,\Upsilon)$-structures. Finally, we introduce $\mathcal{P}$-tangent bundles, $\mathcal{F}$-tangent bundles and obtain a relation between these bundles and $\Phi$-reflexive property.https://ijnaa.semnan.ac.ir/article_4829_abb4382d2f2de7977c51b7faba7864d9.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A discrete problem involving the $p(k)-$ Laplacian operator with three variable exponents521532483410.22075/ijnaa.2021.4834ENMohamedOusbikaOriental applied mathematics laboratory, FS Oujda, Team of Modeling and Scientific Computing, FP Nador, University Mohammed 1, Morocco.ZakariaEl AllaliOriental applied mathematics laboratory, FS Oujda, Team of Modeling and Scientific Computing, FP Nador, University Mohammed 1, Morocco.Journal Article20200630In this paper, we determine the different intervals of a positive parameters $\lambda$, for which we prove the existence and non existence of a non trivial solutions for the discrete problem (1.1). Our technical approach is based on the variational principle and the critical point theory.https://ijnaa.semnan.ac.ir/article_4834_b7540eb3674a653658818c116825ced5.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Stability of fuzzy orthogonally $*$-$n$-derivation in orthogonally fuzzy $C^*$-algebras533540483510.22075/ijnaa.2021.4835ENNajmehAnsariDepartment of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, IranMohammad HadiHooshmandDepartment of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, IranMadjidEshaghi GordjiDepartment of Mathematics, Semnan University P.O. Box 35195-363, Semnan, Iran0000-0002-0077-1142KhadijehJahediDepartment of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, IranJournal Article20200404In this paper, using fixed point methods, we prove the fuzzy orthogonally $*$-$n$-derivation on orthogonally fuzzy $C^*$-algebra for the functional equation<br />\begin{align*}<br />\begin{split}<br />f(\frac{\mu x+\mu y}{2}+\mu w)+f(\frac{\mu x+\mu w}{2}+\mu y)+f(\frac{\mu y+\mu w}{2}+\mu x)<br />=2\mu f(x)-2\mu f(y)-2\mu f(w).<br />\end{split}<br />\end{align*}https://ijnaa.semnan.ac.ir/article_4835_14d091a73b4e9b5db69e0a8e25303b95.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Gr$\ddot{u}$ss type integral inequalities for a new class of $k$-fractional integrals541554483610.22075/ijnaa.2021.4836ENSidraHabibDepartment of Mathematics, G.C. University Faisalabad, Faisalabad, PakistanGhulamFaridDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, PakistanShahidMubeenDepartment of Mathematics, University of Sargodha, Sargodha, Pakistan0000-0002-7815-8516Journal Article20180528The main aim of this research article is to present the generalized $k$-fractional conformable integrals and an improved version of Gr$\ddot{u}$ss integral inequality via the fractional conformable integral in status of a new parameter $k>0$. Here for establishing Gr$\ddot{u}$ss inequality in fractional calculus the classical method of proof has been adopted also related results with Gr$\ddot{u}$ss inequality have been discussed. This work contributes in the current research by providing mathematical results along with their verifications.<br /> https://ijnaa.semnan.ac.ir/article_4836_24f8f6ce919ec121496a8a843eccc8e2.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Numerical approach for reconstructing an unknown source function in inverse parabolic problem555565483810.22075/ijnaa.2021.4838ENJavadDamirchiDepartment of Mathematics, Semnan University, Semnan, IranAliJanmohammadiDepartment of Mathematics, Semnan University, Semnan, Iran.MasoudHasanpourDepartment of Mathematics, Semnan University, Semnan, Iran.RezaMemarbashiDepartment of Mathematics, Semnan University, Semnan, Iran.Journal Article20180501The inverse problem considered in this paper is devoted to reconstruction of the unknown source term in parabolic equation from additional information which is given by measurements at final time. The cost functional is introduced and existence of the minimizer for this functional is established. The numerical algorithm to solve the inverse problem is based on the Ritz-Galerkin method with shifted Legendre polynomials as basis functions. Finally, some numerical results are presented to demonstrate the accuracy and efficiency of the proposed method for test example.https://ijnaa.semnan.ac.ir/article_4838_2f9f68db09e1136e34bc21f572da10a6.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On starlike functions related with the convex conic domain567573483910.22075/ijnaa.2021.4839ENRahimKargarDepartment of Mathematics and Statistics, University of Turku, Turku, FinlandJanuszSokolUniversity of Rzeszow, Faculty of Mathematics and Natural Sciences, ul. Prof. Pigonia 1, 35-310 Rzeszow, PolandJournal Article20181029In the present paper, we study a new subclass $\mathcal{M}_p(\alpha,\beta)$ of $p$--valent functions and obtain some inequalities concerning the coefficients for the desired class. Also, by using the Hadamard product, we define a new general operator and find a condition such that it belongs to the class $\mathcal{M}_p(\alpha,\beta)$.https://ijnaa.semnan.ac.ir/article_4839_b5dba0075fe9a6e5d7afa54e33da221e.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On the system of double equations with three unknowns $d+ay+bx+cx^2=z^2 , y+z=x^2$575581484010.22075/ijnaa.2021.4840ENMayilrangamGopalanDepartment of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, Tamil Nadu, IndiaAarthyThangamDepartment of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, Tamil Nadu, IndiaOzenOzerDepartment of Mathematics, Faculty of Science and Arts, Kirklareli University, 39100, Kirklareli, TurkeyJournal Article20180407The system of double equations with three unknowns given by $d+ay+bx+cx^2=z^2 , y+z=x^2$ is analysed for its infinitely many non-zero distinct integer solutions. Different sets of integer solutions have been presented. A few interesting relations among the solutions are given.https://ijnaa.semnan.ac.ir/article_4840_06dcac64cda8ecc6bfc43a39974f3a26.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Existence of solutions of system of functional-integral equations using measure of noncompactness583595484710.22075/ijnaa.2021.4847ENHemant KumarNashineDepartment of Mathematics,
School of Advanced Sciences,
Vellore Institute of Technology,
Vellore-632014, TN, INDIA0000-0002-0250-9172RezaArabDepartment of Mathematics, Sari Branch, Islamic Azad University, Sari, IranRaviAgarwalDepartment of Mathematics, Texas A \& M University - Kingsville - 78363-8202, Texas, USAJournal Article20181023We propose to investigate the solutions of system of functional-integral equations in the setting of measure of noncompactness on real-valued bounded and continuous Banach space. To achieve this, we first establish some new Darbo type fixed and coupled fixed point results for $\mu$-set $(\omega,\vartheta)$-contraction operator using arbitrary measure of noncompactness in Banach spaces. An example is given in support for the solutions of a pair of system of functional-integral equations.https://ijnaa.semnan.ac.ir/article_4847_3ef2e986f8037f28dfd9791dcb68dbd1.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Ciric type multi-valued $\alpha _{\ast }$-$\eta _{\ast }$-$\theta $-contractions on b-metric spaces with applications597614486510.22075/ijnaa.2021.4865ENEskandarAmeerDepartment of Mathematics, Taiz University, Taiz, YemenHassenAydiUniversity of Dammam, Department of Mathematics. College of Education of Jubail,
P.O: 12020, Industrial Jubail 31961. Saudi ArabiaMuhammadArshadDepartment of Mathematics, International Islamic University, H-10, Islamabad - 44000, PakistanAftabHussainDepartment of Mathematics, Faculty of Natural Sciences, Centre for Mathematical Research, Khawaja Fareed University
of Engineering and Information Technology Rahim Yar Khan, PakistanAbdul RahimKhanDepartment of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaJournal Article20180626In this paper, we give sufficient conditions for the existence of solutions of a system of Volterra-type integral inclusion equations using new sort of multi-valued contractions, named as generalized multi-valued $\alpha _{\ast} $-$\eta _{\ast }$-$\theta $-contractions defined on $\alpha $-complete b-metric spaces. We give its relevance to fixed point results. We set up an example to elucidate our main results.https://ijnaa.semnan.ac.ir/article_4865_4d849bed68bfe2d93a33fb0e8b306140.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On generalized $\Phi$-strongly monotone mappings and algorithms for the solution of equations of Hammerstein type615632486610.22075/ijnaa.2021.4866ENMathew O.AibinuInstitute for Systems Science & KZN e-Skills CoLab, Durban University of Technology, Durban, South Africa0000-0003-4901-1440Oluwatosin T.MewomoSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South AfricaJournal Article20181219In this paper, we consider the class of generalized $\Phi$-strongly monotone mappings and the methods of approximating a solution of equations of Hammerstein type. Auxiliary mapping is defined for nonlinear integral equations of Hammerstein type. The auxiliary mapping is the composition of bounded generalized $\Phi$-strongly monotone mappings which satisfy the range condition. Suitable conditions are imposed to obtain the boundedness and to show that the auxiliary mapping is a generalized $\Phi$-strongly which satisfies the range condition. A sequence is constructed and it is shown that it converges strongly to a solution of equations of Hammerstein type. The results in this paper improve and extend some recent corresponding results on the approximation of a solution of equations of Hammerstein type.https://ijnaa.semnan.ac.ir/article_4866_30d041198f9884a625818b464052a956.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Investigating the dynamics of Lotka$-$Volterra model with disease in the prey and predator species633648486710.22075/ijnaa.2021.4867ENAtenaGhasemabadiEsfarayen University of Technology, Esfarayen, North Khorasan, IranMohammad HossienRahmani DoustDepartment of Mathematics, University of Neyshabur, Adib BLVD, Neyshabur, IranJournal Article20171211In this paper, a predator$-$prey model with logistic growth rate in the prey population was proposed. It included an SIS infection in the prey and predator population. The stability of the positive equilibrium point, the existence of Hopf and transcortical bifurcation with parameter $a$ were investigated, where $a$ was regarded as predation rate. It was found that when the parameter $a$ passed through a critical value, stability changed and Hopf bifurcation occurred. Biologically, the population is positive and bounded. In the present article, it was also shown that the model was bounded and that it had the positive solution. Moreover, the current researchers came to the conclusion that although the disease was present in the system, none of the species would be extinct. In other words, the system was persistent. Important thresholds, $R_{0}, R_{1}$ and $R_{2}$, were identified in the study. This theoretical study indicated that under certain conditions of $R_{0}, R_{1}$ and $R_{2}$, the disease remained in the system or disappeared.https://ijnaa.semnan.ac.ir/article_4867_4831f3112817a66f9e558b0b7d401125.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Construction of generating functions of the products of Vieta polynomials with Gaussian numbers and polynomials649668486810.22075/ijnaa.2021.4868ENSouhilaBoughabaLMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, AlgeriaNabihaSabaLMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, AlgeriaAliBoussayoudLMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria.Journal Article20200406In the present paper, we introduce the recurrence relations of Vieta Fibonacci, Vieta Lucas, Vieta Pell and Vieta Pell Lucas polynomials. We obtain the generating functions of these polynomials, then we give the new generating functions of the products of these polynomials and the products of these polynomials with Gaussian numbers and polynomials. These results are based on the relation between Vieta polynomials and Chebyshev polynomials of first and second kinds.https://ijnaa.semnan.ac.ir/article_4868_f9b51168be9ed97f820a68fe54fa42f0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501The semi-obnoxious minisum circle location problem with Euclidean norm669678486910.22075/ijnaa.2021.4869ENMehranehGholamiFaculty of Mathematical Sciences, Shahrood University of Technology, University Blvd., Shahrood, IranJafarFathaliFaculty of Mathematical Sciences, Shahrood University of Technology, University Blvd., Shahrood, Iran0000-0003-1397-8529Journal Article20190413The objective of the classical version of the minisum circle location problem is finding a circle $C$ in the plane such that the sum of the weighted distances from the circumference of $C$ to a set of given points is minimized, where every point has a positive weight. In this paper, we investigate the semi-obnoxious case, where every existing facility has either a positive or negative weight. The distances are measured by the Euclidean norm. Therefore, the problem has a nonlinear objective function and global nonlinear optimization methods are required to solve this problem. Some properties of the semi-obnoxious minisum circle location problem with Euclidean norm are discussed. Then a cuckoo optimization algorithm is presented for finding the solution of this problem.https://ijnaa.semnan.ac.ir/article_4869_f02c9c1079179111689a38c89feb9169.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501An existence result of three solutions for a $\mathbf{2n}$-th-order boundary-value problem679691487010.22075/ijnaa.2021.4870ENOsmanHalakooDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranMahdiAzhiniDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, IranGhasemAfrouziDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranJournal Article20181106In this paper, we establish the existence of at least three weak solutions for some one-dimensional $2n$-th-order equations in a bounded domain. A particular case and a concrete example are then presented.https://ijnaa.semnan.ac.ir/article_4870_b9af12e5a9a52f1e2467e6f8d14b9a46.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Cystoscopic image classification by an ensemble of VGG-nets693700487610.22075/ijnaa.2021.4876ENEhsanKozegarFaculty of Technology and Engineering (Eastern Guilan), University of Guilan, Guilan, Iran.Journal Article20201021Over the last three decades, artificial intelligence has attracted lots of attentions in medical diagnosis tasks. However, few studies have been presented to assist urologists to diagnose bladder cancer in spite of its high prevalence worldwide. In this paper, a new computer aided diagnosis system is proposed to classify four types of cystoscopic images including malignant masses, benign masses, blood in urine, and normal. The proposed classifier is an ensemble of a well-known type of convolutional neural networks (CNNs) called VGG-Net. To combine the VGG-Nets, bootstrap aggregating approach is used. The proposed ensemble classifier was evaluated on a dataset of 720 images. Based on the experiments, the presented method achieved an accuracy of 63% which outperforms base VGG-Nets and other competing methods.https://ijnaa.semnan.ac.ir/article_4876_84b5959108e6a83053f86305d7229b63.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Outlier detection in test samples and supervised training set selection701712487810.22075/ijnaa.2021.4878ENNavidMohseniDepartment of Computer Engineering, Babol Branch, Islamic Azad University, Babol, IranHosseinNematzadehDepartment of Computer Engineering, Sari Branch, Islamic Azad University, Sari, IranEbrahimAkbariDepartment of Computer Engineering, Sari Branch, Islamic Azad University, Sari, IranJournal Article20200726Outlier detection is a technique for recognizing samples out of the main population within a data set. Outliers have negative impacts on classification. The recognized outliers are deleted to improve the classification power generally. This paper proposes a method for outlier detection in test samples besides a supervised training set selection. Training set selection is done based on the intersection of three well known similarity measures namely, jacquard, cosine, and dice. Each test sample is evaluated against the selected training set for possible outlier detection. The selected training set is used for a two-stage classification. The accuracy of classifiers are increased after outlier deletion. The majority voting function is used for further improvement of classifiers.https://ijnaa.semnan.ac.ir/article_4878_34ff7c4307d1c97ca454980413a5cc11.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Perfect 3-colorings of Heawood graph713717490910.22075/IJNAA.2021.4901ENMehdiAlaeiyanSchool of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846, IranJournal Article20181008Perfect coloring is a generalization of the notion of completely regular codes, given by Delsarte. A perfect m-coloring of a graph G with m colors is a partition of the vertex set of G into m parts $A_1, . . . , A_m$ such that, for all $i, j \in \{1, . . . , m\}$, every vertex of $A_i$ is adjacent to the same number of vertices, namely, $a_{ij}$ vertices, of $A_j$. The matrix $A = (a_{ij} )$, $i, j \in \{1, 2,... , m\}$, is called the parameter matrix. We study the perfect 3-colorings (also known as the equitable partitions into three parts) of the Heawood graph. In particular, we classify all the realizable parameter matrices of perfect 3-colorings for the Haywood graphs.https://ijnaa.semnan.ac.ir/article_4909_6ec9aa7e809a20d96d28ae7a2ce2a82b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On new classes of neutrosophic continuous and contra mappings in neutrosophic topological spaces718725491010.22075/ijnaa.2021.4910ENNadia M.Ali AbbasMinistry of Education, Directorate General of Education/ Baghdad/ Al-Kark/3, Baghdad, IraqShuker MahmoodKhalilDepartment of Mathematics, College of Science, Basrah University, Basrah, Iraq0000-0002-7635-3553Journal Article20200920The aim of this paper is to investigate some new types of neutrosophic continuous mappings like, neutrosophic α ∗−continuous mapping (Nα∗ − CM), neutrosophic irresolute α∗−continuous mapping (NIα∗ − CM), and neutrosophic strongly α∗−continuous mapping (NSα∗ − CM) are given and some of their properties are studied. Moreover, new kind of neutrosophic contra continuous mappings is investigated in this work, it is called neutrosophic contra α∗−continuous mapping (NCα∗ − CM).https://ijnaa.semnan.ac.ir/article_4910_f0deb9709de757ec48d25404598ce8ec.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Fuzzy co-even domination of strong fuzzy graphs726734493410.22075/ijnaa.2021.4934ENAhmedA. OmranDepartment of Mathematics, College of Education for Pure Science, University of Babylon, Babylon, IraqThaerA. IbrahimThe Ministry of Education and the General Directorate of Education Wasit, IraqJournal Article20201016he aim of this research is to initiate a new concept of domination in fuzzy graphs which is called a fuzzy co-even domination number denoted by $\gamma_{f c o}(G) .$ We will touch only a few aspects of the theory to of this definition. Some properties and boundaries of this definition are introduced. The fuzzy co-even domination number of fuzzy certain graphs as fuzzy complete, fuzzy complete bipartite, fuzzy star, fuzzy cycle, fuzzy null, fuzzy path, and fuzzy star are determined. Additionally, this number is computed for the complement of mentioned above fuzzy certain graphs. Finally, this number is also determined for the join to mentioned above fuzzy certain graphs with itself.https://ijnaa.semnan.ac.ir/article_4934_08a2aa9a5f7610098dd35d4ee90d68a9.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Fixed point theorems for single valued mappings satisfying the ordered nonexpansive conditions on ultrametric and non-Archimedean normed spaces735740492010.22075/ijnaa.2021.645.1104ENHashemP. MasihaK. N. Toosi University of TechnologyHamidMamghaderiK. N. Toosi University of TechnologyJournal Article20150107In this paper, some fixed point theorems for non-expansive mappings in partially ordered spherically complete ultrametric spaces are proved. In addition, we investigate the existence of fixed points for nonexpansive mappings in partially ordered non-Archimedean normed spaces. Finally, we give some examples to discuss the assumptions and support of these theorems.https://ijnaa.semnan.ac.ir/article_4920_4e2e2b486a6ce2734d2a8ed48716145d.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Fixed point of set-valued graph contractions in metric spaces741747492210.22075/ijnaa.2021.4922ENMasoudGhodsDepartment of Mathematics, Faculty
of Basic Science,Iran University of Science and Technology, Narmak, Tehran,IranMasoudHadian DehkordiDepartment of Mathematics, Faculty
of Basic Science,Iran University of Science and Technology, Narmak, Tehran,IranJournal Article20151017In this paper, we introduce the (G-$\psi$) contraction in a metric space by using a graph. Let $T$ be a multivalued mappings on $X.$ Among other things, we obtain a fixed point of the mapping $T$ in the metric space $X$ endowed with a graph $G$ such that the set of vertices of $G,$ $V(G)=X$ and the set of edges of $G,$ $E(G)\subseteq X\times X.$https://ijnaa.semnan.ac.ir/article_4922_759ff14442b0c3e3c892afa301fe507a.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On complex valued $G_b$-metric spaces and related fixed point theorems748760493310.22075/ijnaa.2019.1448.1366ENChakkridKlin-eamDepartment of Mathematics Faculty of Science Naresuan University, ThailandCholatisSuanoomScience and Applied Science Center, Kamphaengphet Rajabhat University, Kamphaengphet, 62000, ThailandJournal Article20160615In this paper, we establish complex valued $G_b$-metric spaces and introduced the notion of $G_b$-Banach Contraction, $G_b$-Kannan mapping and prove fixed point theorems in the such spaces.https://ijnaa.semnan.ac.ir/article_4933_2023da914726d21a575c61404da261ae.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A simple, efficient and accurate new Lie--group shooting method for solving nonlinear boundary value problems761781493510.22075/ijnaa.2019.1543.1403ENSAbbasbandyImam Khomeini International UniversityM.HajiketabiDepartment of Mathematics, Imam Khomeini International University,
Qazvin, 34149-16818, IranJournal Article20160813The present paper provides a new method for numerical solution of nonlinear boundary value problems. This method is a combination of group preserving scheme (GPS) and a shooting--like technique which takes advantage of two powerful methods for solving nonlinear boundary value problems. This method is very effective to search unknown initial conditions. To demonstrate the computational efficiency, the mentioned method is implemented for some nonlinear exactly solvable differential equations including strongly nonlinear Bratu equation, nonlinear reaction--diffusion equation and one singular nonlinear boundary value problem. It is also applied successfully on two nonlinear three--point boundary value problems and a third--order nonlinear boundary value problem which the exact solutions of this problems are unknown. The examples show the power of method to search for unique solution or multiple solutions of nonlinear boundary value problems with high computational speed and high accuracy. In the test problem 5 a new branch of solutions is found which shows the power of the method to search for multiple solutions and indicates that the method is successful in cases where purely analytic methods are not.https://ijnaa.semnan.ac.ir/article_4935_f37db0b0097878dfc8190392fd192183.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501New Hermite-Hadamard type inequalities on fractal set782789309710.22075/ijnaa.2018.12156.1611ENTubaTuncDepartment of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, TurkeyHuseyinBudakDepartment of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey0000-0001-8843-955XFuatUstaDepartment of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, TurkeyMehmetZeki SarikayaDepartment of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, TurkeyJournal Article20170308In this study, we present the new Hermite-Hadamard type inequality for functions which are $h$-convex on fractal set $\mathbb{R}^{\alpha }$ $(0<\alpha \leq 1)$ of real line numbers. Then we provide the special cases of the result using different type of convex mappings.https://ijnaa.semnan.ac.ir/article_3097_cfa6cc5915c5687479f9a0c8ca8166b6.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Characterizations of the set containment with star-shaped constraints790811353310.22075/ijnaa.2018.13932.1727ENArianHedayatDepartment of Mathematics, Islamic Azad University, Kerman Branch, Kerman, IranHosseinMohebiDepartment of Mathematics, Shahid Bahonar University of Kerman, Kerman, IranJournal Article20180203In this paper, we first give a separation theorem for a closed star-shaped set at the origin and a point outside it in terms of separation by an upper semi-continuous and super-linear function, and also, we introduce a $\nu$-star-shaped-conjugation. By using this facts, we present characterizations of the set containment with infinite star-shaped constraints defined by weak inequalities. Next, we give characterizations of the set containment with infinite evenly radiant constraints defined by strict or weak inequalities. Finally, we give a characterization of the set containment with an upper semi-continuous and radiant constraint, in a reverse star-shaped set, defined by a co-star-shaped constraint. These results have many applications in Mathematical Economics, in particular, in Utility Theory.https://ijnaa.semnan.ac.ir/article_3533_309418436f44ce75503bcaea860db887.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Natural homotopy perturbation method for solving nonlinear fractional gas dynamics equations812820493610.22075/ijnaa.2021.4936ENHassan KamilJassimDepartment of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, IraqMayada GassabMohammedDepartment of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, IraqJournal Article20201024In this paper, we investigate solutions of nonlinear fractional differential equations by using Natural homotopy perturbation method (NHPM). This method is coupled by the Natural transform (NT) and homotopy perturbation method (HPM). The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the presented method.https://ijnaa.semnan.ac.ir/article_4936_70dd76899367b5105196f04775e169da.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501New formula to calculate the number of designs in RADG cryptosystem821829493710.22075/ijnaa.2021.4937ENLaith MKadhumFaculty of Computing College of Computing and Applied Sciences, Universiti Malaysia Pahang 26600 Pekan, Pahang
Darul Makmur, Malaysia;
&
University of Kufa, Najaf, IraqAhmadFirdausaFaculty of Computing College of Computing and Applied Sciences, Universiti Malaysia Pahang 26600 Pekan, Pahang
Darul MakmurMohamad FadliZolkiplibSchool of Computing, UUM College Arts Sciences, Universiti Utara Malaysia, 06010 UUM Sintok, Kedah Darul Aman,
MalaysiaLuaySaferaliaFaculty of Computing College of Computing and Applied Sciences, Universiti Malaysia Pahang 26600 Pekan, Pahang
Darul Makmur, MalaysiaMohd FaizalAb RazakaaFaculty of Computing College of Computing and Applied Sciences, Universiti Malaysia Pahang 26600 Pekan, Pahang
Darul Makmur, MalaysiaJournal Article20201007Reaction automata direct graph (RADG) is a new technique that uses the automata direct graph method to represent a certain design for encryption and decryption. Jump states are available in the RADG design that enables the encipher to generate different ciphertexts each time from the same plaintext and wherein not a single ciphertext is related to a certain plaintext. This study created a matrix representation for RADG designs that allows the calculation of the number of cases ($F_{Q}$)mathematically possible for any design of the set $Q$. $F_{Q}$ is an important part of the function $\mathrm{F}(\mathrm{n}, \mathrm{m}, \lambda)$ that calculates the total number of cases of a certain design for the values $Q, R, \sum, \psi, J$ and $T$. This paper produces a mathematical equation to calculate $F_{Q}$.https://ijnaa.semnan.ac.ir/article_4937_b6e64e5cff8598689fde19555e463fac.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501New optimization algorithm to improve numerical integration method830837493810.22075/ijnaa.2021.4938ENInaamRikan HassanUniversity of Information Technology and Communications, Baghdad, IraqJournal Article20200907This paper introduces a new proposed algorithm of numerical integration evaluation regarded as optimization problem solution. The new method is characterized to have superiority features such as attractive, accurate and rapid. An improvement of polynomial regression has been done by selecting nearest neighbors points being searched around of the values of regression coefficients which calculated by using least squares method. Furthermore, Trapezoidal and Simpson methods were considered as traditional methods in numerical integration. In this regard, comparison has been done among all four methods used in simulation application via MATLAB program that have been performed to achieve the desired numerical results for the four methods. As conclusion, the proposed algorithm approved its superiority.https://ijnaa.semnan.ac.ir/article_4938_0e88b1d35dd7765f25276ce1efd794de.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Numerical simulation of arterial pulse propagation using autonomous models838846493910.22075/ijnaa.2021.4939ENMayada G.MohammedDepartment of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, IraqHassan KamilJassimDepartment of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq0000-0001-5715-7752Journal Article20200924We present a model of the fluid flow between elastic walls simulating arteries actively interacting with the blood. The lubrication theory for the flow is coupled with the pressure and shear stress from the walls. The resulting nonlinear partial differential equation describes the displacement of the walls as a function of the distance along the flow and time.https://ijnaa.semnan.ac.ir/article_4939_c7ac8183cf85e39c03d86fb2cc5e7940.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501New subclass of analytic functions defined by subordination847855494010.22075/ijnaa.2018.13582.1706ENHosseinNaraghiDepartment of Mathematics, Payame Noor University, Tehran, IranParvanehNajmadiDepartment of Mathematics, Payame Noor University, Tehran, Iran0000-0001-6510-2647BahmanTaherkhaniDepartment of Mathematics, Payame Noor University, Tehran, IranJournal Article20180102By using the subordination relation $"\prec"$, we introduce an interesting subclass of analytic functions as follows:<br />\begin{equation*}<br />\mathcal{S}^*_{\alpha}:=\left\{f\in \mathcal{A}:\frac{zf'(z)}{f(z)}\prec \frac{1}{(1-z)^\alpha},\ \ |z|<1\right\},<br />\end{equation*}<br />where $0<\alpha\leq1$ and $\mathcal{A}$ denotes the class of analytic and normalized functions in the unit disk $|z|<1$. In the present paper, by the class $\mathcal{S}^*_{\alpha}$ and by the Nunokawa lemma we generalize a famous result connected to starlike functions of order $1/2$. Also, coefficients inequality and logarithmic coefficients inequality for functions of the class $\mathcal{S}^*_{\alpha}$ are obtained.https://ijnaa.semnan.ac.ir/article_4940_a768d0ff6e35a2d3a84f5ec180873130.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Fractal transforms for fuzzy valued images856868494110.22075/ijnaa.2019.1590.1413ENMRajkumarDepartment of Mathematics, B. S. Abdur Rahman University, Vandalur, Chennai-48, Tamilnadu, IndiaR.UthayakumarDepartment of Mathematics, Gandhigram Rural Institute (Deemed University), Gandhigram, Dindigul, Tamilnadu, IndiaJournal Article20160907The aim of this paper is to construct a complete metric space of fuzzy valued image functions and to define a fractal transform operator T. Contraction of T is guarantees the existence of its fixed point. A fuzzy point is considered for this purpose as a crisp point and approached through classical method on proving the completeness of the space.https://ijnaa.semnan.ac.ir/article_4941_12e56a3a3d1a9b750e1028d4cf8537e5.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Classification of problems of determining the maximum common fragments for two structures of a temporal digraph869875494210.22075/ijnaa.2021.4942ENAli RashidIbrahimDepartment of Applied Mathematics, College of Science,
University of Anbar,
Ramadi, IraqJournal Article20201126A new approach is proposed for classifying the problems of determining the maximum common fragments $(M C F)$ for two connected structures included in the $T$-digraph, based on the type of the maximum common fragment. A tree of classification the problems of determining the maximum common fragments $(M C F)$ for two structures $t_{i} G, t_{j} G\left(M C F\left(t_{i} G, t_{j} G\right)\right)$ included in the $T$-digraph is proposed. Examples are given for a digraph $t G$ with three types of its fragments (parts), and for five connectivity types of digraphs. The formulation of six basic problems of determining the maximum common fragments $ (MCF) $ for two connected structures included in the $T$-digraph is given. A classification is proposed for an isomorphic embedding of a digraph into another.https://ijnaa.semnan.ac.ir/article_4942_59522f789923050dbd9f007f0f3a3ceb.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Infinitesimal generators of Lie symmetry group of parametric ordinary differential equations877891494310.22075/ijnaa.2021.22387.2356ENAbdolaliBasiriDepartment of Mathematics and Computer Sciences, Damghan University, Damghan, Iran0000-0003-4454-4379SajjadRahmaniDepartment of Mathematics and Computer Sciences, Damghan University, Damghan, IranMalihe BaigomMirkarimDepartment of Mathematics and Computer Sciences, Damghan University, Damghan, IranJournal Article20181015Lie’s theory of symmetry groups plays an important role in analyzing and solving differential equations; for instance, by decreasing the order of equation. Moreover, there are some analytic methods to find the infinitesimal generators that span the Lie algebra of symmetries. In this paper, we first converted the problem of finding infinitesimal generators in to the problem of solving a system of polynomial equations in the context of computational algebraic geometry. Then, we used Gröbner basis a novel computational tool to solve this problem. As far as we know, when a differential equation contains some parameters, there is no linear algebraic algorithm up to our knowledge to deal with these parameters; so, we must apply the algorithms, which are based on Gröbner basis.https://ijnaa.semnan.ac.ir/article_4943_ac762b1af562b641f21fa5b9e84675a7.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On existence of solutions for some nonlinear fractional differential equations via Wardowski-Mizoguchi-Takahashi type contractions893902494410.22075/ijnaa.2020.20511.2161ENVahidParvanehYoung Researchers and Elite Club, Kermanshah Branch,
Islamic Azad University, Kermanshah, Iran.BabakMohammadiDepartment of Mathematics, Marand Branch, Islamic Azad
University, Marand, IranManuelDe La SenInstitute of Research and Development of Processes, Leioa 48940, SpainEsmaeilAlizadehDepartment of Mathematics, Marand Branch,
Islamic Azad University, Marand, IranHemant KumarNashineDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology,
Vellore-632014, TN, India0000-0002-250-9172Journal Article20181015Using the concept of extended Wardowski-Mizoguchi-Takahashi contractions, we investigate the existence of solutions for three type of nonlinear fractional differential equations. To patronage our main results, some examples of nonlinear fractional differential equations are given.https://ijnaa.semnan.ac.ir/article_4944_3c9554ed75e193e8df955557db13a4e1.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501New common fixed point theorems for contractive self mappings and an application to nonlinear differential equations903911494510.22075/ijnaa.2021.21318.2245ENYoussefTouailEquipe de Recherche en Mathematiques Appliquees, Technologies de l’Information et de la Communication Faculte
Polydisciplinare de Khouribga, Universite Sultan Moulay Slimane de Beni-Mellal, MoroccoDrissEl MoutawakilEquipe de Recherche en Mathematiques Appliquees, Technologies de l’Information et de la Communication Faculte
Polydisciplinare de Khouribga, Universite Sultan Moulay Slimane de Beni-Mellal, MoroccoJournal Article20200908In this paper, we prove a new common fixed point in a general topological space with a $\tau-$distance. Then we deduce two common fixed point theorems for two new classes of contractive selfmappings in complete bounded metric spaces. Moreover, an application to a system of differential equations is given.https://ijnaa.semnan.ac.ir/article_4945_5725588076eaae26bc1b9c2b2b322155.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Maximal ideal graph of commutative semirings913926494610.22075/ijnaa.2021.4946ENAhmed H.AlwanDepartment of Mathematics, Faculty of Education for Pure Sciences, Thi-Qar University,Thi-Qar, IraqJournal Article20210110In this paper, a new kind of graph on a commutative semiring is introduced and investigated. The maximal ideal graph of S, denoted by MG(S), is a graph with all nontrivial ideals of S as vertices and two distinct vertices I and J are adjacent if and only if I + J is a maximal ideal of S. In this article, some interrelation between the graph-theoretic properties of this graph and some algebraic properties of semirings are studied. We investigated the basic properties of the maximal ideal graph such as diameter, girth, clique number, cut vertex, and planar property. https://ijnaa.semnan.ac.ir/article_4946_0572d5fd15423618c684bc6d4213633a.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On sum of range sets of sum of two maximal monotone operators927934494710.22075/ijnaa.2019.12171.1615ENDillip KumarPradhanDepartment of Mathematics,
National Institute of Technology, Rourkela, IndiaSuvendu RanjanPattanaikDepartment of Mathematics, National Institute of Technology, Rourkela, IndiaJournal Article20170805In the setting of non-reflexive spaces (Grothendieck Banach spaces), we establish <br />(1) $\overline{ran (A+B)}=\overline{ran A+ran B}$<br />(2) int (ran (A+B))=int(ran A+ran B).<br />with the assumption that A is a maximal monotone operator and B is a single-valued maximal monotone operator such that A+B is ultramaximally monotone. Conditions (1) and (2) are known as Br$\acute{e}$zis-Haraux conditions.https://ijnaa.semnan.ac.ir/article_4947_b975f080c7f786e01df5b1594445f48c.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Parameter estimation of inverse exponential Rayleigh distribution based on classical methods935944494810.22075/ijnaa.2021.4948ENMayssa J.MohammedDepartment of mathematics, College Of Education For Pure Sciences (Ibn AL-Haitham), University of Baghdad, IraqAli T.MohammedDepartment of mathematics, College Of Education For Pure Sciences (Ibn AL-Haitham), University of Baghdad, IraqJournal Article20201129This paper introduces and developed a new lifetime distribution known as inverse exponential Rayleigh distribution (IERD). The new two-scale parameters generalized distribution was studies with its distribution and density functions, besides that the basic properties such as survival, hazard, cumulative hazard, quantile function, skewness, and Kurtosis functions were established and derived. To estimate the model parameters, maximum likelihood, and rank set sampling estimation methods were applied with real-life data.https://ijnaa.semnan.ac.ir/article_4948_82fb6659406d9ce0a5cf960abf8a1baf.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501New Ostrowski type conformable fractional inequalities concerning differentiable generalized relative semi-$(r; m, p, q, h_1, h_2)$-preinvex mappings945962494910.22075/ijnaa.2019.13075.1673ENArtionKashuriDepartment of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, 9400, Vlora, Albania0000-0003-0115-3079RozanaLikoDepartment of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, 9400, Vlora, Albania0000-0003-2439-8538Journal Article20171112In this article, we first presented a new integral identity concerning differentiable mappings defined on m-invex set. By using the notion of generalized relative semi-$(r; m, p, q, h_1, h_2)$-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Ostrowski type conformable fractional integral inequalities are established. It is pointed out that some new special cases can be deduced from main results of the article.https://ijnaa.semnan.ac.ir/article_4949_2df31abbbef3aa4e9fa97709a07ca13a.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Generalized Suzuki $(\psi,\phi)$-contraction in complete metric spaces963978495010.22075/ijnaa.2020.15983.1837ENAkindele AdebayoMebawonduSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South AfricaIyanu SundayMebawonduLagos State University, Ojo Campus, Lagos, NigeriaJournal Article20180918In this paper, we introduce the concept of $(\psi, \phi)$-Suzuki and $(\psi, \phi)$-Jungck-Suzuki contraction type mappings and we establish the existence, uniqueness and coincidence results for $(\psi, \phi)$-Suzuki and $(\psi, \phi)$-Jungck-Suzuki contraction mappings in the frame work of complete metric spaces. As an application, we apply our result to find the existence and uniqueness of solutions of a differential equation.https://ijnaa.semnan.ac.ir/article_4950_444c2885536fa61fe9f128b65f75d545.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501New estimates of Gauss-Jacobi and trapezium type inequalities for strongly $(h_{1},h_{2})$-preinvex mappings via general fractional integrals979996495110.22075/ijnaa.2020.19718.2096ENArtionKashuriDepartment of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, 9400, Vlora, Albania0000-0003-0115-3079RozanaLikoDepartment of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, 9400, Vlora, Albania0000-0003-2439-8538Muhammad AamirAliJiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences,
Nanjing Normal University, 210023, ChinaHuseyinBudakDepartment of Mathematics, Faculty of Science and Arts, Duzce
University, Duzce, Turkey0000-0001-8843-955XJournal Article20200203In this paper, authors discover two interesting identities regarding Gauss--Jacobi and trapezium type integral inequalities. By using the first lemma as an auxiliary result, some new bounds with respect to Gauss--Jacobi type integral inequalities for a new class of functions called strongly $(h_{1},h_{2})$--preinvex of order $\sigma>0$ with modulus $\mu>0$ via general fractional integrals are established. Also, using the second lemma, some new estimates with respect to trapezium type integral inequalities for strongly $(h_{1},h_{2})$--preinvex functions of order $\sigma>0$ with modulus $\mu>0$ via general fractional integrals are obtained. It is pointed out that some new special cases can be deduced from main results. Some applications to special means for different real numbers and new approximation error estimates for the trapezoidal are provided as well. These results give us the generalizations of some previous known results. The ideas and techniques of this paper may stimulate further research in the fascinating field of inequalities.https://ijnaa.semnan.ac.ir/article_4951_44ccb936f00e77ef9a0a494cba86cb3e.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Subordination and superordination results of multivalent functions associated with the Dziok-Srivastava operator9971008495210.22075/ijnaa.2019.17226.1916ENTamerSeoudyDepartment of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, EgyptM. K.AoufDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptTeodorBulboacăFaculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania0000-0001-8026-218XJournal Article20190217Using the techniques of the differential subordination and superordination, we derive certain subordination and superordination properties of multivalent functions associated with the Dziok-Srivastava operator.https://ijnaa.semnan.ac.ir/article_4952_0d287353b35ea8f069476cddc3fe354b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Stability of Inverse Pitchfork Domination10091016495610.22075/ijnaa.2021.4956ENMohammed A.AbdlhuseinDepartment of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, IraqJournal Article20201001There are few papers deals with stability of the inverse domination number in graphs by adding new edge to the graph or removing edge or vertex. Before this type of study, we need to know the stability of the domination number, then check the stability of the inverse domination. In this paper, the inverse pitchfork domination number $\gamma_{pf}^{-1}(G)$ is studied to be changing or not after adding or removing edge or removing vertex. Some conditions are putted on the graph to be affected or not with several results and examples.https://ijnaa.semnan.ac.ir/article_4956_034bf33163b63b47147524e23f004cc0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Some estimation procedures of the PDF and CDF of the generalized inverted Weibull distribution with comparison10171036495710.22075/ijnaa.2020.21419.2257ENMortazaGhasemi CheratiDepartment of Statistics, Qaemshahr Branch, IslamicAzad University, Qaemshahr, IranEzzatallahBaloui JamkhanehDepartment of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran0000-0002-4474-0225EinolahDeiriDepartment of Statistics, Qaemshahr Branch, IslamicAzad University, Qaemshahr, IranJournal Article20200903Different estimation procedures for the probability density and cumulative distribution functions of the generalized inverted Weibull distribution are discussed. For this purpose, the parametric and non-parametric estimation approaches as maximum likelihood, uniformly minimum variance unbiased, percentile, least squares and weighted least squares estimators are considered and compared. The expectations and mean square error of the maximum likelihood and uniformly minimum variance unbiased estimation are provided in the closed-form whereas, for non-parametric estimation methods (percentile, least squares and weighted least squares), the expectations and mean square error are computed via the simulation data. The Monte Carlo simulations are provided to assess the performances of the proposed estimation methods. Finally, the analysis of the real data set has been presented for illustrative purposes.https://ijnaa.semnan.ac.ir/article_4957_10dfb4530f479587790b1f76f96f0f63.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A new Robust algorithm for penalized regression splines based on mode-estimation10371055497110.22075/ijnaa.2021.23023.2458ENAhmedEldeebDepartment of Business Administration, College of Business, King Khaled University, KSASabreenDesokyDepartment of Statistics, Mathematics and Insurance, Faculty of Commerce, Alexandria University, EgyptMohamedAhmedDepartment of Statistics, Mathematics and Insurance, Faculty of Commerce, Alexandria University, EgyptJournal Article20201031The main purpose of present article is proposed an effective method for robust fitting penalized regression splines models. According to such a context a comparative analysis with two common robust techniques, M-type estimator, S-type estimator, and non-robust least squares (LS) for penalized regression splines (PRS) has been implemented. Because the penalized regression splines are recently a common approach to smoothing noisy data for its simplicity, efficiency, and significantly reducing disturbance of outliers and its flexibility in monitoring nonlinear data trends. In many cases, it is difficult to determine the most suitable form and a way of designing a data is needed when faced with many smoothing problems. The executing aspects of fitting precision and robustness of the four estimators have a thorough evaluation of their performance on R codes. A comparative analysis demonstrates that the proposed method can resist the noise effect in both simulated and real data examples compared to other robust estimators with different combinations of contamination. These findings are used as guidance for finding a specific method to pulsing smoothing noisy datahttps://ijnaa.semnan.ac.ir/article_4971_da58a6e6cefd63c8d4f3a7133458c209.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Gerghaty type results via simulation and $\mathcal{C}$-class functions with application10571071497210.22075/ijnaa.2019.16025.1842ENAzharHussainDepartment of Mathematics, University of Sargodha, Sargodha-40100, PakistanMuhammadIshfaqDepartment of Mathematics, University of Sargodha, Sargodha-40100, PakistanTanzeelaKanwalDepartment of Mathematics, University of Sargodha, Sargodha-40100, PakistanStojanRadenovicFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd 35, SerbiaJournal Article20180925In this paper we study the notion of Gerghaty type contractive mapping via simulation function along with $\mathcal{C}$-class functions and prove the existence of several fixed point results in ordinary and partially ordered metric spaces. An example is given to show the validity of our results given herein. Moreover, existence of solution of two-point boundary value second order nonlinear differential equation is obtain.https://ijnaa.semnan.ac.ir/article_4972_22590e17b4a3b2d6c5bcc859101c6352.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Proposing a lower bound for a nonlinear scheduling problem in supply chain10731085497310.22075/ijnaa.2017.1616.1422ENMohammad AliBeheshtiniaDepartment of Industrial Engineering, Faculty of Materials and Industrial Engineering, Semnan University, Semnan
35195-363, IranAmirGhasemiDepartment of Industrial Engineering, Faculty of Materials and Industrial Engineering, Semnan University, Semnan
35195-363, IranJournal Article20160922This paper proposes a nonlinear programming model for a scheduling problem in the supply chain. Due to the nonlinear structure of the developed model and its NP-hard structure, a lower bound is developed. Four lemmas and a theorem are presented and proved to determine the lower bound. The proposed problem is inspired from a three stage supply chain commonly used in various industries.https://ijnaa.semnan.ac.ir/article_4973_2c583f562cf8120b161175f55ec5b6b5.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Analysis and control of a 4D hyperchaotic system with passive control10871095497410.22075/ijnaa.2020.21594.2278ENSelcukEmirogluDepartment of Electrical Electronics Engineering, Faculty of Engineering, Sakarya University, TurkeyYılmazUyaroğluDepartment of Electrical Electronics Engineering, Faculty of Engineering, Sakarya University, TurkeyJournal Article20201002In this study, the dynamical behavior of the four-dimensional (4D) hyperchaotic system is analyzed. Its chaotic dynamical behaviors and basic dynamical properties are presented by Lyapunov exponents, stability analysis, and Kaplan-Yorke dimension. Then, the control of 4D hyperchaotic system is implemented by using passive control. The global asymptotic stability of the system is guaranteed by using Lyapunov function. Simulation results are shown to validate all theoretical analysis and demonstrate the effectiveness of the proposed control method. By applying the passive controllers, the system under chaotic behavior converges to the equilibrium point at origin asymptotically.https://ijnaa.semnan.ac.ir/article_4974_bdb5fbe3fc99761cabd4aaf2b5fa88b7.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Anti-N-order polynomial Daugavet property on Banach spaces10971105497510.22075/ijnaa.2019.16371.1865ENJohnEmenyuDepartment of Mathematics, Faculty of Science, Mbarara University of Science and Technology, UgandaJournal Article20181031We generalize the notion of the anti-Daugavet property (a-DP) to the anti-N-order polynomial Daugavet property (a-NPDP) for Banach spaces by identifying a good spectrum of a polynomial and prove that locally uniformly alternatively convex or smooth Banach spaces have the a-mDP for rank-1 polynomials. We then prove that locally uniformly convex Banach spaces have the a-NPDP for compact polynomials if and only if their norms are eigenvalues, and uniformly convex Banach spaces have the a-NPDP for continuous polynomials if and only if their norms<br />belong to the approximate spectra.https://ijnaa.semnan.ac.ir/article_4975_dcbcd4a6a92b6b490dbbbb5250a63af9.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On $\alpha^{*}-$continuous and contra $\alpha^{*}-$continuous mappings in topological spaces with soft setting11071113498010.22075/ijnaa.2021.23061.2471ENNadia M.Ali AbbasMinistry of Education, Directorate General of Education/ Baghdad/ Al-Kark/3, Iraq.Shuker MahmoodKhalilDepartment of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq.0000-0002-7635-3553AlaaAbdullah HamzaMinistry of Education, The General Directorate For Al-Najaf Al Ashraf, IraqJournal Article20210905In this work, some new connotations of continuous mappings such as $\alpha^{*}$ - continuous mapping $\left(\alpha^{*}-C M\right),$ irresolute $\alpha^{*}-$mapping $\left(I \alpha^{*}-C M\right),$ and strongly $\alpha^{*}-$ continuous mapping $\left(S \alpha^{*}-C M\right)$ are studied and some of their characteristics are discussed. In other side, new some classes of contra continuous mappings are investigated in this work, they are called contra $\alpha^{*}$ - continuous mapping $\left(C \alpha^{*}-C M\right)$.https://ijnaa.semnan.ac.ir/article_4980_7a2be019b99992d7dcfb4a69872de255.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On subgroups of the unitary group especially of degree 211151121498110.22075/ijnaa.2021.23056.2469ENShakirSabbarDepartment of Mathematics, Faculty of Mathematics and natural sciences, University of Brawijaya, Malang, Indonesia0000-0001-5962-7869AgusWidodoDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, IndonesiaNoorHidayatDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, IndonesiaAbdul RoufAlghofariDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, IndonesiaJournal Article20210202The point of the current investigation is to research one of the extremely significant groups exceedingly associated with the classical group which is called the special unitary groups $SU_{2}(K)$ particularly of degree $2$. Let $K$ be a field of characteristic, not equal $2$, our principal objective that to depicting subgroups of $SU_{2}(K)$ over a field $K$ contains all elementary unitary transvections.https://ijnaa.semnan.ac.ir/article_4981_7eaf4a69f8bbfe438e643f8155c095e4.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501A family of parallel quasi-Newton algorithms for unconstrained minimization11231133497610.22075/ijnaa.2019.16979.1900ENAbdel-RahmanAhmedDepartment of Mathematics, Faculty of Science, Al-Azhar University (Assiut Branch), Assiut, Egypt0000-0003-0888-7198MohamedSalimDepartment of Mathematics, Faculty of Science, Al-Azhar University (Assiut Branch), Assiut, EgyptJournal Article20190113This paper deals with the solution of the unconstrained optimization problems on parallel computers using quasi-Newton methods. The algorithm is based on that parallelism can be exploited in function and derivative evaluation costs and linear algebra calculations in the standard sequential algorithm. Computational problem is reported for showing that the parallel algorithm is superior to the sequential one.https://ijnaa.semnan.ac.ir/article_4976_17be98347a5597f3d5e3c3f6581d5dbd.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Integrated three layer supply chain inventory model for price sensitive and time dependent demand with suggested retail price by manufacturer11351152497910.22075/ijnaa.2018.14334.1749ENUttam KumarKhedlekarDepartment of Mathematics and Statistics, Dr. Harisingh Gour Vishwavidyalaya, (A Central University), Sagar M.P. India0000-0002-3599-5576AtmaramNigwalbDepartment of Mathematics, Ujjain Engineering Collage, Ujjain M.P. India0000-0002-8104-3605N. K.KhedlekarDepartment of Management Studies (DOM), Indian Institute of Technology (IIT), Madras, IndiaH. K.PatelDepartment of Mathematics, Ujjain Engineering Collage, Ujjain M.P. IndiaJournal Article20200420This paper presents an integrated three layer supply chain policy for multi-channel and multi-echelon consisting manufacturer, distributors and retailers as supply chain members. The demand of retailers end is considered as linear function of time and retail price. The average net profit function per unit time is derived for each supply chain member which are based on demand of retailer's end. Since holding cost of goods/inventory is expensive in developed areas, we have introduced a new concept to share holding cost among distributors and retailers. We have optimized lot size, retailing price and replenishment time interval for retailers. We have also optimized initial inventory level and wholesale price for distributors and manufacturer respectively. This study is performed in two different categories one is decentralized and other is centralized scenario. The profit function of each supply chain members has been derived and shown as a concave function with respect to decision variables. More over propositions and results are made to illustrate the proposed model and we have sensitive analyzed it with numerical example.https://ijnaa.semnan.ac.ir/article_4979_2af6684962a9fe2f23b78c802161d03d.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Asymptotic behavior of generalized quadratic mappings11531165498210.22075/ijnaa.2021.4982ENHarkMahn KimDepartment of Mathematics, Chungnam National University
99 Daehangno, Yuseong-gu, Daejeon 305-764, KoreaIck-SoonChangDepartment of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, KoreaJournal Article20210209We show in this paper that a mapping $f$ satisfies the following functional equation<br />\begin{eqnarray*}<br />\biguplus_{x_2,\cdots,x_{d+1}}^{d}f(x_1) = 2^{d} \sum_{i=1}^{d+1}f(x_i),<br />\end{eqnarray*}<br />if and only if it is quadratic. In addition, we investigate generalized Hyers-Ulam stability problem for the equation, and thus obtain an asymptotic property of quadratic mappings as applications.https://ijnaa.semnan.ac.ir/article_4982_5b3e194d24ecb0652e5701b2e1f1cc37.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On a more accurate Hardy-Hilbert's inequality in the whole plane11671179498310.22075/ijnaa.2018.13571.1705ENQiliangHuangDepartment of Mathematics,
Guangdong University of Education,Guangzhou, Guangdong, P.R.ChinaBichengYangDepartment of Mathematics,
Guangdong University of Education, Guangzhou, Guangdong, P.R.ChinaJournal Article20180102By introducing independent parameters and applying the weight coefficients, we use Hermite-Hadamard's inequality and give a more accurate Hardy-Hilbert's inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, a few particular cases and the operator expressions are considered.https://ijnaa.semnan.ac.ir/article_4983_ec7cc13daefbd27ff1622c504cc9403d.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501The extended tanh method for solving conformable space-time fractional KdV equations11811194498410.22075/ijnaa.2019.15346.1807ENHandanYaslanDepartment of Mathematics, Pamukkale University, Denizli, 20070, TurkeyAyşeGirginDepartment of Mathematics, Pamukkale University, Denizli, 20070, TurkeyJournal Article20180709In this study, we obtain exact traveling wave solutions of the conformable space-time fractional Sawada-Kotera-Ito, Lax and Kaup-Kupershmidt equations by using the extended tanh method. The obtained traveling wave solutions are expressed by the hyperbolic, trigonometric, exponential and rational functions. Simulation of the obtained solutions are given at the end of the paper.https://ijnaa.semnan.ac.ir/article_4984_0449877241e27133cc44c4b8e3fc39e9.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Initial value problem for a fractional neutral differential equation with infinite delay11951206498510.22075/ijnaa.2018.13488.1698ENMohammed SAbdoDr. Babasaheb Ambedkar Marathwada
University, Aurangabad, 431004 IndiaSatish K.PanchalDr. Babasaheb Ambedkar Marathwada
University, Aurangabad, 431004 IndiaJournal Article20171223We consider the initial value problem for a class of nonlinear fractional neutral functional differential equations with infinite delay involving the standard fractional derivative in the sense of Caputo. By using a variety of tools of fractional calculus including the Banach contraction principle and the Schaefer fixed point theorem, the existence, uniqueness and continuous dependence results are obtained in the space of continuous functions.https://ijnaa.semnan.ac.ir/article_4985_734de37646b5ab19c7135299c1743c94.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On a class of nonlinear parabolic equations with natural growth in non-reflexive Musielak spaces12071233499010.22075/ijnaa.2021.21148.2235ENBourahmaMohamedLaboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez, MoroccoDevalSidi MohamedLaboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez, MoroccoBennounaJaouadLaboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez, MoroccoAbdelmoujibBenkiraneDepartement of Mathematics Faculte of Sciences SIdi Mohamed Ben Abdellah University Dhar Mahraz Fez MoroccoJournal Article20200819An existence result of renormalized solutions for nonlinear parabolic Cauchy-Dirichlet problems whose model<br />$$\left\{\begin{array}{ll}<br />\displaystyle\frac{\partial b(x,u)}{\partial t}<br />-\mbox{div}\>\mathcal{A}(x,t,u,\nabla u)-\mbox{div}\><br />\Phi(x,t,u)=<br />f &\mbox{ in }\Omega\times (0,T)\\<br />b(x,u)(t=0)=b(x,u_0) & \mbox{ in } \Omega\\<br />u=0 &\mbox{ on } \partial\Omega\times (0,T).<br />\end{array}\right.<br />$$<br />is given in the non reflexive Musielak spaces, where $b(x,\cdot)$ is a strictly increasing $C^1$-function for every $x\in\Omega$ with $b(x,0)=0$, the lower order term $\Phi$ is a non coercive Carath\'{e}odory function satisfying only a natural growth condition described by the appropriate Musielak function $\varphi$ and $f$ is an integrable data.https://ijnaa.semnan.ac.ir/article_4990_c17186d8e0c3622b698ec11c39c77d38.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501On soft $b^*$-closed sets in soft topological space12351242500210.22075/ijnaa.2021.5002ENSaif Z.HameedDepartment of Mathematics, College of Education, Mustansiriyah University, Baghdad, IraqFayza A.IbrahemDepartment of Mathematics, Faculty of Science, Ain Shams University, Cairo, EgyptEssam A.El-SeidyDepartment of Mathematics, Faculty of Science, Ain Shams University, Cairo, EgyptJournal Article20201215In this paper, we introduce and study a new class of soft sets, called soft $b^*$-closed and soft $b^*$-open sets. we study several characterizations and properties of these class of sets.https://ijnaa.semnan.ac.ir/article_5002_709aeaf41feff09903e9df0f6673f671.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Application of the accelerated failure time model to lung cancer data12431250500310.22075/ijnaa.2021.5003ENAkam AliOthmanCollege of Administration and EconomicsnUniversity of KirkukSabah HaseebHasanCollege of Administration and EconomicsnUniversity of KirkukJournal Article20210109Accelerated failure time model sometimes symbolized as AFT model, is an important regression model in survival analysis. In this article, we applied AFT model to the data of lung cancer patient in order to identify the must important factors affecting the patient's survival time. The results showed a well performance for this model, as based on some statistical criteria, the factors that are consistent with the opinion of specialists in in uencing survival time were identified, as the factors (smoking, treatment, proliferation, location of residence) of the main factors aecting the life of a person with this disease.https://ijnaa.semnan.ac.ir/article_5003_4172e22eb75064884df4f498dafebef7.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501The existence of uniqueness non standard equilibrium problems12511260500410.22075/ijnaa.2021.5004ENDhuha M.AbbasDepartment of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, IraqAyed E.HashooshDepartment of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, IraqWijdan SaeedAbedDepartment of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, IraqJournal Article20210215In this paper, the concept of $\eta\xi$-monotonous operator is explored using KKM mapping. The existence results and uniqueness defined on its bounded and unbounded domains are discussed. Our findings improve and develop some well-known solutions in literature.https://ijnaa.semnan.ac.ir/article_5004_51455a9bb3cbfd8e12e34b3d97cbb261.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210501Designing a multi-period credit portfolio optimization model a nonlinear multi-objective fuzzy mathematical modeling approach (Case study: Ansar banks affiliated to Sepah Bank)12611277500510.22075/ijnaa.2021.23118.2478ENAli AsgharTehranipourDepartment of Financial Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, IranEbrahimAbbasiDepartment of Financial Management, Alzahra University, Tehran, IranHoseinDidehkhaniDepartment of Financial Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, IranAeashNaderianDepartment of Accounting, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran0000-0003-0733-1497Journal Article20201211This study aims to design a multi-period credit portfolio optimization model with a nonlinear multi-objective fuzzy mathematical modeling approach. In terms of data collection, this study is a descriptive-survey research and in terms of the nature and purpose of the research, it is an applied one. The statistical population of the research includes all facility files of the last 10 years as well as the statements of financial position of Ansar Bank branches affiliated with Sepah Bank, selected by census method. The risk criteria used in the models include Average Value at Risk (AVaR), Conditional Value at Risk (CVAR) and Semi-Entropy. First, having reviewed the research literature, the objectives and indices of the portfolio optimization issue were investigated based on the practical character of this issue and the main indices were selected. Then, each of the objectives and constraints were specified in a state of uncertainty and ambiguity, based on the principles of fuzzy credibility theory, for a state in which the expected rate of stock return is a triangular fuzzy number. Finally, three multi-objective fuzzy models were designed based on the selected criteria. Research models were implemented using MOPSO algorithm. The software used in conducting the research was MATLAB software. The results indicated that the CVAR model performed better than the other two models, i.e. AVAR and Semi-Entropy, in evaluating optimal portfolios.https://ijnaa.semnan.ac.ir/article_5005_4d5331072d8d5d8f5f60c935984a52cf.pdf