Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Solvability and numerical method for non-linear Volterra integral equations by using Petryshyn’s fixed point theorem128544210.22075/ijnaa.2021.22858.2422ENAmarDeepPDPM-IIITDM, Jabalpur 482005AshishKumarGovt. PG college Bina 470113SyedAbbasIIT, Mandi 175005MohsenRabbaniIslamic Azad University,0000-0003-3602-6125Journal Article20210308In this paper, utilizing the technique of Petryshyn’s fixed point theorem in Banach algebra, we analyze the existence of solution for functional integral equations, which includes as special cases many functional integral equations that arise in various branches of non-linear analysis and its application. Finally, we introduce the numerical method formed by modified homotopy perturbation<br /> approach to resolving the problem with acceptable accuracy.https://ijnaa.semnan.ac.ir/article_5442_cf49c6b3330689fa675e605163b77c38.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Analysis of Cholera model with treatment noncompliance2943545210.22075/ijnaa.2021.23626.2568ENMatthew OAdewoleDepartment Of Computer Science And Mathematics,
Mountain Top University0000-0002-9130-6739Taye SFaniranDepartment of Computer Science,
Lead City University, Ibadan, NigeriaJournal Article20210607A model for transmission dynamics of cholera infection between human host and environment is developed. We incorporate the proportion of infectious individuals who do not comply with treatment into the human population. Stability analysis, as well as simulation of the model, is done. The results from the stability analysis show that the disease-free equilibrium solution is locally asymptotically stable if R0 < 1 while the endemic equilibrium solution is globally asymptotically stable when R0 > 1. The technical tool used for our analysis is the theory of competitive systems, compound matrices and stability of periodic orbits. Finally, we investigate, numerically, the inﬂuence of seasonal variation on the control of cholera.https://ijnaa.semnan.ac.ir/article_5452_295a49b978ae313144e49aab85c8ef2c.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Generalized $p$-Laplacian systems with lower order terms4555545510.22075/ijnaa.2021.20666.2191ENFarahBalaadichUniversity of Sidi Mohamed Ben Abdellah, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Atlas, Fez-MoroccoElhoussineAzroulUniversity of Sidi Mohamed Ben Abdellah, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Atlas, Fez-MoroccoJournal Article20200620This work is devoted to studying the existence of solutions to systems of $p$-Laplacian type. We prove the existence of at least one weak solution, under some assumptions, by applying Galerkin's approximation and the theory of Young measures.https://ijnaa.semnan.ac.ir/article_5455_f3b763f2247723cdec0f842d6b175ff1.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Ulam’s stability of impulsive sequential coupled system of mixed order derivatives5773545610.22075/ijnaa.2020.20205.2136ENAkbarZadaDepartment of Mathematics, University of Peshawar, 25000, Pakistan0000-0002-2556-2806SadeeqAlamDepartment of Mathematics, University of Peshawar, 25000, Pakistan0000-0001-9989-3184UsmanRiazDepartment of Mathematics, University of Peshawar, 25000, Pakistan0000-0002-0231-8704Journal Article20200413This manuscript is devoted to establishing Hyers–Ulam stability for a class of non-linear impulsive coupled sequential fractional differential equations with multi point boundary conditions on a closed interval [0,T] with Caputo fractional derivative having non-instantaneous impulses.<br /> Sufficient conditions are introduced that guarantee the existence of a unique solution to the proposed problem. Furthermore, Hyers–Ulam stability of the proposed model is also presented and an example is provided to authenticate the theoretical results.https://ijnaa.semnan.ac.ir/article_5456_ed237f264193b220ae585c2b5fdee762.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101A subgradient extragradient method for equilibrium problems on Hadamard manifolds7584545810.22075/ijnaa.2020.20984.2220ENMahdi -Ali-AkbariDepartment of Computer Engineering, University of Torbat Heydarieh, Torbat Heydarieh, IranJournal Article20200729It is generalized the subgradient extragradient algorithm from linear spaces to nonlinear cases. This algorithm introduces a method for solving equilibrium problems on Hadamard manifolds. The global convergence of the algorithm is presented for pseudo-monotone and Lipschitz-type continuous bifunctions.https://ijnaa.semnan.ac.ir/article_5458_fbb0a4ff4f27020891ad9245cc705cb0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Action of topological groupoid on topological space8589545910.22075/ijnaa.2022.5459ENTaghreed HurMajeedEducation College, Mustansiriyah University, Baghdad, Iraq.Journal Article20210907The main goal of this paper is investigating some types of topological groupoid and their action which denoted by LM- groupoid and M- groupoid. Some properties of these groupoid are written as proposition. We concentrated to research the relation of M- groupoid and LM- groupoid.https://ijnaa.semnan.ac.ir/article_5459_60292092ab75dbc8f370a3e3151fdff1.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101A study of g∗ - fuzzy closed set via αm in double fuzzy topological space9195546010.22075/ijnaa.2022.5460ENSanaa IAbdullahMinistry of Education, Salah al-Din Education Directorate, Tikrit, IraqHiba OMousaDepartment of Mathematics, University of Tikrit, IraqJournal Article20210907The aim of this research paper is to present and study a new class of generalized closed sets in double fuzzy topological spaces, by using the fuzzy - α<sup>m</sup> closed set, that was previously presented. This new class is called the fuzzy α<sup>m</sup> - g<sup>∗</sup>fuzzy closed set. The relationship of the new concept with previous concepts is studied and the characteristics of this concept is investigated through important theorems that determine the position of this set in relation to sets that have been studied or that will be presented later. Also, generalizations of the functions are presented according to the concept, their properties are studied, and some necessary examples that show the properties of this concept and its relationships.Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Z-prime gamma submodule of gamma modules97102546110.22075/ijnaa.2022.5461ENAli Abd AlhusseinZyarahIraqi Ministry of Education, General Directorate of Education for the Holy Karbala, Karbala, Iraq.Ahmad HadiHussainCollege of Engineering Al-musayab, Department of Energy Engineering, University of Babylon, Babil, IraqHayder KadhimZghairInformation Technology College, Department of Software, University of Babylon, Iraq.0000-0001-8390-4475Journal Article20210907Let $R$ be a $Gamma$-ring and $partial$ be an $RGamma$-module. A proper $RGamma$-submodule. $T$ of an $RGamma$-module $partial$ is called Z-prime $RGamma$-submodule if for each $tin partial, gamma in Gamma$ and $f in partial^{ast}=Hom_{R_{Gamma}}(partial,R),f(t)gamma t in T$ implies that either $t in T$ or $f(t)in [T: _{R_{Gamma}} partial]$. The purpose of this paper is to introduce interesting theorems and properties of Z- prime $RGamma$-submodule of $RGamma$-module and the relation of Z-prime $RGamma$-submodule, which represents of generalization Z-prime R-submodule of R-module.<br /> https://ijnaa.semnan.ac.ir/article_5461_1716752f0b582cca2d8cfb80827e6c0a.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Almost maximal, e-maximal and e-simple fuzzy submodules103113546310.22075/ijnaa.2022.5463ENMaysoun A.HamelDepartment of Mathematics, College of Education for Pure Sciences, Ibn-Al-Haitham, University of Baghdad, IraqInaam M. A.HadiDepartment of Mathematics, College of Education for Pure Sciences, Ibn-Al-Haitham, University of Baghdad, IraqJournal Article20210909In this paper, the concepts of almost maximal submodules are fuzzified and studied. Also, three new concepts are introduced, which are: e-simple submodules, Ee-simple modules and e-maximal submodules. Then these concepts are fuzzified and studied.https://ijnaa.semnan.ac.ir/article_5463_24f752e267793f8840a8d026f947c5ac.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Bifurcation analysis and chaos control of the population model with harvest115125546410.22075/ijnaa.2021.19675.2094ENOzlem AkGumusFaculty of Arts and Sciences, Department of Mathematics, Adiyaman University, Adiyaman-02040, Turkey0000-0003-2610-8565A.GeorgeSelvamDepartment of Mathematics, Sacred Heart College (Autonomous), Tirupattur-635 601, Tamil Nadu, India0000-0003-2004-3537RDhineshbabuDepartment of Mathematics, Sacred Heart College (Autonomous), Tirupattur-635 601, Tamil Nadu, IndiaJournal Article20200127In this article, we investigated the dynamic behavior of a discrete-time population model with the harvest. We give numerical simulation and chaos control by using the linear feedback control method.https://ijnaa.semnan.ac.ir/article_5464_0adc01bf0ca0b6a49e7a380ede2a22c3.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Estimation of the survival function based on the log-logistic distribution127141546610.22075/ijnaa.2022.5466ENAminaIbrahimDepartment of Mathematics, College of Education for pure Sciences, Ibn-Al-Haitham , University of Baghdad, IraqBayda AtiyaKalafDepartment of Mathematics, College of Education for pure Sciences, Ibn-Al-Haitham , University of Baghdad, IraqJournal Article20210910This paper proposes a new method by hybrid Simplex Downhill Algorithm with Moment Method (SMOM) to estimate the parameters of Log-Logistic distribution based on Survival functions. Simulation is used to compare the suggested methods with two classical methods (Maximum Likelihood Estimator and with Moment Method). The results demonstrate that SMOM was efficient than the maximum likelihood Estimator and Moment method based on Mean Square Error (MSE).https://ijnaa.semnan.ac.ir/article_5466_cfce13ca8b084830b6da3a643a68c60b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Legendre Kantorovich methods for Uryshon integral equations143157546710.22075/ijnaa.2021.22966.2441ENChafikAllouchMohamedArraiUniversity Mohammed I, FPN, MSC Team, LAMAO Laboratory, Nador, MoroccoMohammedTahrichiUniversity Mohammed I, ESTO, ANAA Team, ANO Laboratory, Oujda, MoroccoJournal Article20210323In this paper, the Kantorovich method for the numerical solution of nonlinear emph{Uryshon} equations with a smooth kernel is considered. The approximating operator is chosen to be either the orthogonal projection or an interpolatory projection using a Legendre polynomial basis. The order of convergence of the proposed method and those of superconvergence of the iterated versions are established. We show that these orders of convergence are valid in the corresponding discrete methods obtained by replacing the integration by a quadrature rule. Numerical examples are given to illustrate the theoretical estimates.https://ijnaa.semnan.ac.ir/article_5467_b8d32eccedbe2fe467ce6f225e62107a.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Combining B-spline least-square schemes with different weight functions to solve the generalized regularized long wave equation159177546810.22075/ijnaa.2022.5468ENHameeda O.Al-HumediDepartment Mathematics, Education College for pure Sciences, Basrah University, Basrah, IraqJournal Article20210910For solving differential equations, a variety of numerical methods are available, accuracy, performance, and application are all different. In this article, we proposed new numerical techniques for solving the generalized regularized long wave equation(GRLWE) that are based on types M and M-1 of B-splines-least-square method (BSLSM) and weight function of B-splines respectively, which were proposed previously for solving integro-differential equations [2] where $Min {N}$. We investigated linear stability using a Fourier method.https://ijnaa.semnan.ac.ir/article_5468_89f38ae584cf4dd9e99c8b5ddc7c6f92.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101On the location of zeros of generalized derivative179184546910.22075/ijnaa.2021.22496.2382ENIrfan AhmadWaniDepartment of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, India0000-0003-1036-0512Mohammad IbrahimMirDepartment of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, IndiaIshfaqNazirDepartment of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, IndiaJournal Article20210203Let $P(z) =displaystyle prod_{v=1}^n (z-z_v),$ be a monic polynomial of degree $n$, then, $G_gamma[P(z)] = displaystyle sum_{k=1}^n gamma_k prod_{{v=1},{v neq k}}^n (z-z_v),$ where $gamma= (gamma_1,gamma_2,dots,gamma_n)$ is a n-tuple of positive real numbers with $sum_{k=1}^n gamma_k = n$, be its generalized derivative. The classical Gauss-Lucas Theorem on the location of critical points have been extended to the class of generalized derivativecite{g}. In this paper, we extend the Specht Theorem and the results proved by A.Aziz cite{1} on the location of critical points to the class of generalized derivative .https://ijnaa.semnan.ac.ir/article_5469_c0d5c598e88d64fc2d4a7ca2b1ac5a5c.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Mathematical optimization modeling for estimating the incidence of clinical diseases185195547010.22075/ijnaa.2022.5470ENMazin KareemKadhimDepartment of Mathematics Science, Ministry of Education, Babylon, IraqFadhil AbdalhasanWahbiDepartment of Mathematics Science, Ministry of Education, Babylon, IraqAhmedHasan AlridhaDepartment of Mathematics Science, Ministry of Education, Babylon, Iraq0000-0002-2192-5251Journal Article20210910The notion that infectious disease transmission and dissemination are governed by rules that may be expressed mathematically is not new. In fact, the nonlinear dynamics of infectious illness transmission were only fully recognized in the twentieth century. However, with the Coronavirus outbreak, there is a lot of discussion and study regarding the origin of the epidemic and how it spreads before all vulnerable people are infected, as well as ideas about how the disease virulence changes during the epidemic. In this paper, we provide some critical mathematical models which are SIR and SIS and their differences in approach for the interpretation and transmission of viruses and other epidemics as well as formulate the optimal control problem with vaccinations.https://ijnaa.semnan.ac.ir/article_5470_65a5bc8225fef3ee1b2530db0e14aa8f.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Perturbation of wavelet frames on non-Archimedean fields197208547110.22075/ijnaa.2021.21909.2302ENIshtaqAhmadDepartment of Mathematics, Jammu and Kashmir Institute of Mathematical Sciences, Srinagar-190008, IndiaNeyazAhmadDepartment of Mathematics, National Institute of Technology, Srinagar-190006, IndiaJournal Article20201123The paper deals with two different aspects of wavelet frames. First, we obtain a necessary condition on irregular wavelet frames on local fields of positive characteristic and in the second aspect, we present some results on the perturbation of wavelet frames, when we disturb the mother function of a wavelet frame or dilation parameter. All the results have been carried without the compactness of support neither on generating function nor on its Fourier transform.https://ijnaa.semnan.ac.ir/article_5471_fdc041bfb12d8d2ec19ef4dd14f4db1c.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Novel face detection algorithm with a mask on neural network training209215547210.22075/ijnaa.2022.5472ENFouad ShakerTahirDepartment of Applied Science, University of Technology, Baghdad, Iraqhttp://orcid.org/000Asma AbdulelahAbdulrahmanDepartment of Applied Science, University of Technology, Baghdad, Iraqhttp://orcid.org/000ZanbaqHikmet ThanonIraqi Commission for Computers & Informatics Informatics Institute for Postgraduate Studies.Journal Article20210910Discovering objects and knowing their number has been discussed in many works. Face detection technology is important for the visual scene, Deep learning theory using computer technology to discover the face, which is a wide field in marketing, traffic and security system control systems, in addition to photography. Facial recognition algorithms or face detection Include steps for the facial image to extract features to match them with a database. The face has a biometric feature. The facial feature consists of prominent and easily identifiable information that is responsible for distinguishing the objects that distinguish the face, the distance between the eyes, the shape of the nose, and The mouth for the device to perform a training group and record the data. Matlab program helps to dispense with training because MATLAB provides the instruction (CascadeObjectDetector) for facial recognition and the Viola-Jones algorithm with the result of separating the detection results in the form of subsets. In this work, a new algorithm is created for a group of elements in the unit picture And run a face detection code to highlight the background to store the information of each image in a specified folder and the face detection techniques by proposing a new algorithm to detect a face from among a group of faces, distinguish it and make it a file of its own, all of that using the Matlab program to train the neural network for face recognition.https://ijnaa.semnan.ac.ir/article_5472_9e12faefd1513fb5059b2a80f3e74831.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Solving a bi-objective flexible flow shop problem with transporter preventive maintenance planning and limited buffers by NSGA-II and MOPSO217246547310.22075/ijnaa.2021.24335.2719ENMeysamKazemi EsfehSchool of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, IranAmir AbassShojaeiSchool of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, IranHassanJavanshirSchool of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, IranKavehKhalili DamghaniSchool of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, IranJournal Article20210824This study deals with a bi-objective flexible flow shop problem (BOFFSP) with transportation times and preventive maintenance (PM) on transporters via considering limited buffers. The PM actions on transporters are a missing part of the literature of the flexible flow shop problem (FFSP) which before the breakdown occurs, each transporter at each stage is stopped and the PM action is performed on it. The capacity of each intermediate buffer is limited and each job has to wait in the intermediate buffers. By including all these features in the proposed BOFFSP, not only processing times affect the objective functions, but also, the transportation times of jobs, the waiting time of jobs in the intermediate buffers, and availability of transporters in the system are considered in the model and make it a sample of a real-world FFSP. The presented BOFFSP has simultaneously minimized the total completion time and the unavailability of the system. As the problem is NP-hard, a non-dominated sorting genetic algorithm II (NSGA-II) and a multi-objective particle swarm optimization (MOPSO) is proposed to solve the model for large size problems. The experimental results show that the proposed MOPSO relatively outperforms the presented NSGA-II in terms of five different metrics considered to compare their performance. Afterwards, two one-way ANOVA tests are performed. It can be observed MOPSO achieves relatively better results than NSGA-II. Finally, sensitivity analysis is conducted to investigate the sensitivity of the objective functions to the number of jobs and their transportation time at each stage.https://ijnaa.semnan.ac.ir/article_5473_b6be1d678f7e15037fdb2aa717d0342f.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Growth estimate for rational functions with prescribed poles and restricted zeros247252547410.22075/ijnaa.2021.23465.2544ENIshfaq AhmadDarDepartment of Mathematics, University of Kashmir, Srinagar-190006, IndiaNisar AhmadRatherDepartment of Mathematics, University of Kashmir, Srinagar-190006, IndiaMohd ShafiWaniDepartment of Mathematics, University of Kashmir, Srinagar-190006, IndiaJournal Article20210520Let $r(z)= f(z)/w(z)$ where $f(z)$ be a polynomial of degree at most $n$ and $w(z)= prod_{j=1}^{n}(z-a_{j})$, $|a_j|> 1$ for $1leq j leq n.$ If the rational function $r(z)neq 0$ in $|z|< k$, then for $k =1$, it is known that $$left|r(Rz)right|leq left(frac{left|B(Rz)right|+1}{2}right) underset{|z|=1}sup|r(z)|,,, for ,,,|z|=1$$ where $ B(z)= prod_{j=1}^{n}left{(1-bar{a_{j}}z)/(z-a_{j})right}$. In this paper, we consider the case $k geq 1$ and obtain certain results concerning the growth of the maximum modulus of the rational functions with prescribed poles and restricted zeros in the Chebyshev norm on the unit circle in the complex plane.https://ijnaa.semnan.ac.ir/article_5474_3656cfa70e2a244467593adf62ee44b7.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Hadamard and Fejér type inequalities for p-convex functions via Caputo fractional derivatives253266547510.22075/ijnaa.2020.21549.2269ENNailaMehreenSchool of Natural Sciences, National University of Sciences and Technology, sector H-12, Islamabad, Pakistan.0000-0003-4101-6044MatloobAnwarSchool of Natural Sciences, National University of Sciences and Technology, H-12 Islamabad, PakistanJournal Article20201010Here our aim is to prove the Hermite-Hadamard and Fejér inequalities for p-convex functions via Caputo fractional derivatives. We also establish some useful identities in order to find further Hadamard’s and Fejér type inequalities which are generalizations of the results given in the literature cited here.https://ijnaa.semnan.ac.ir/article_5475_99724d3a0bfbc13353e0f34919c17812.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101System of generalized nonlinear variational-like inclusion problems in 2-uniformly smooth Banach spaces267287547610.22075/ijnaa.2020.20694.2197ENSumeeraShafiDepartment of Mathematics, University of Kashmir, Srinagar-190006, IndiaJournal Article20200626In this manuscript, we introduce and study the existence of a solution of a system of generalized nonlinear variational-like inclusion problems in 2-uniformly smooth Banach spaces by using $H(.,.)$-$eta$-proximal mapping. The method used in this paper can be considered as an extension of methods for studying the existence of solutions of various classes of variational inclusions considered and studied by many authors in 2-uniformly smooth Banach spaces. Some important results, theorems and the existence of solution of the proposed system of generalized nonlinear variational-like inclusion problems have been derived.https://ijnaa.semnan.ac.ir/article_5476_cbb99cb6a25ed60152bcd522690e59d9.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Some trapezoid type inequalities for generalized fractional integral289295548610.22075/ijnaa.2019.16038.1844ENFatmaErtuğralDepartment of Mathematics, Faculty of Science and Arts, D\"{u}zce
University, D\"{u}zce, TurkeyMehmet ZekiSarikayaDepartment of Mathematics, Faculty of Science and Arts, D\"{u}zce
University, D\"{u}zce, TurkeyJournal Article20180927In this paper, we have established some trapezoid type inequalities for generalized fractional integral. The results presented here would provide some fractional inequalities and Riemann-Liouville type fractional operators.https://ijnaa.semnan.ac.ir/article_5486_567e1c6c24f44db249f1ef5bde0ba354.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Solving binary semidefinite programming problems and binary linear programming problems via multi-objective programming297304549010.22075/ijnaa.2019.13899.1724ENMohammadrezaSafiFaculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, IranSeyyed SaeedNabaviFaculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, IranJournal Article20180202In recent years the binary quadratic program has grown in combinatorial optimization. Quadratic programming can be formulated as a semidefinite programming problem. In this paper, we consider the general form of binary semidefinite programming problems (BSDP). We show the optimal solutions of the BSDP belong to the efficient set of a semidefinite multiobjective programming problem (SDMOP). Although finding all efficient points for multiobjective is not an easy problem, but<br /> solving a continuous problem would be easier than a discrete variable problem. In this paper, we solve an SDMOP, as an auxiliary, instead of BSDP. We show the performance of our method by generating and solving random problems.https://ijnaa.semnan.ac.ir/article_5490_98f5ff3feab0998ee2fa7bb7d0334cd0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101A lightweight intrusion detection system based on RSSI for sybil attack detection in wireless sensor networks305320549110.22075/ijnaa.2022.5491ENMahdiSadeghizadehDepartment of Computer Engineering, Quchan University of Technology, Quchan, IranJournal Article20210914As the prevalence of Wireless Sensor Networks (WSNs) grows in the many mission-critical applications such as military and civil domains, the need for network security has become a critical concern. The inherently vulnerable characteristics of WSNs appoint them susceptible to various types of attacks. A particularly harmful attack against sensor and ad hoc networks is known as the Sybil attack, where a node illegitimately claims multiple identities. Sybil attacks can severely deteriorate the network performance and compromise the security by disrupting many networking protocols. This paper presents a lightweight Intrusion detection system (IDS) based on received signal strength indicator (RSSI) readings of messages to protect WSNs against Sybil attack. Our idea in the proposed method is based on the local calculation (within each node and without the need for communications) the RSSI ratio from the suspected nodes to the Sybil attack. The obtained results demonstrate that Proposed System achieves high detection accuracy, low false alarm rate and low energy consumption appointing it a promising IDS candidate for wireless sensor networks.https://ijnaa.semnan.ac.ir/article_5491_955696556c1e2e90e404b4e702c3f4c3.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Optimization of process parameter involved in the effectiveness evaluation of continuous line manufacturing system (CLMS)321342549910.22075/ijnaa.2022.5499ENJ.LogeshwaranResearch ScholarRM.NachiappanDepartment of Manufacturing Engineering, Annamalai University, Annamalai Nagar, Tamil Nadu-608002, IndiaJournal Article20210914To sustain in the global competitive market, the manufacturing organizations are adopting tools like Total Productive Maintenance (TPM), Lean Manufacturing (LM), etc. Implementation of these tools was assessed by an effectiveness index called Overall Equipment Effectiveness (OEE) Throughput Effectiveness (TE). Overall Manufacturing Line Effectiveness (OMLE) used as the performance evaluation index for the integrated tool {[}Total Productive Lean Manufacturing --TPLM{]} implementation performance has been assessed. OMLE is a robust metric of manufacturing performance that incorporates the measures like Line Availability (LA), Line Production Quality Performance (LPQP) of the product line. OMLE offers a means of controlling the whole production process by analyzing results from the totality of events with or without inventory between the processes in the product line. In the present<br />paper, the attempt made towards identifying the bottleneck parameter (Losses in the processes --category A, the Cycle time in the processes-category B, Inventory between the process -- category C) in the bottleneck processes of the n number of the processes product line through programming (software in C). Also, the top three parameters of the processes in the n process product line have been obtained easily towards executing improvements by the engineers and managers. Analyze it with the change of inventory and zero inventory between the five, seven, and nine different processes product line processes. The suggested improvement activities (obtained from the OMLE evaluation and optimization program) are validated in south India's real case study organization and improved the bottleneck processes and losses in the product line.https://ijnaa.semnan.ac.ir/article_5499_9a56828c89e94ce40062fdfbca09eaa2.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Human recognition by utilizing voice recognition and visual recognition343351550110.22075/ijnaa.2022.5501ENSukaina ShAltyarDepartment of Computer Science, College of Education for Pure Science University of Baghdad, Baghdad, IraqSamera ShamsHusseinDepartment of Computer Science, College of Education for Pure Science University of Baghdad, Baghdad, IraqMahir JasemMohammedDepartment of Religious Education, Iraqi Sunni Affairs, IraqJournal Article20210914Audio-visual detection and recognition system is thought to become the most promising methods for many applications includes surveillance, speech recognition, eavesdropping devices, intelligence operations, etc. In the recent field of human recognition, the majority of the research be- coming performed presently is focused on the reidentification of various body images taken by several cameras or its focuses on recognized audio-only. However, in some cases these traditional methods can- not be useful when used alone such as in indoor surveillance systems, that are installed close to the ceiling and capture images right from above in a downwards direction and in some cases people don't look straight the cameras or it cannot be added in some area such as W.C. or sleeping room. Thus, its commonly difficult to identify any movement or breakthrough process, on the other hand when need to pursue suspect when enter a building or party to identify his location and/or listen to his speech only and isolate it from other voices or noises, the other. Hence, the use of the hybrid combination technique is very effective. In this work, we proposed a multimodal human recognition approach that utilizes both the face and audio and is based upon a deep convolutional neural network (CNN). Mainly, to solve the challenge of not capturing part of the body, final results of recognizing via separate CNNs of VGG Face16 and ResNet50 are joined together depending on the score-level combination by Weighted Sum rule to enhance recognition performance. The results show that the proposed system success to recognise each person from his voice and/or his face captured. In addition, the system can separate the person voice and isolate it from noisy environment and determine the existence of desired person.https://ijnaa.semnan.ac.ir/article_5501_7084ee1827614e483ed56fbb83f82ae1.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Homoclinic Orbits and Localized Solutions in Discrete Nonlinear Schrodinger Equation with Long-Range Interaction353363550210.22075/ijnaa.2021.23619.2588ENAllalMehazzemDepartment of Mathematics and Informatics, Faculty of Exact Sciences,
Natural and Life Sciences, El Arbi Tebessi University, Tebessa,
Algeria.Department of Mathematics and Informatic, Abdelhafidh Boussouf
University Center of Mila, Mila, AlgeriaMohamed SalehAbdelouahabDepartment of Mathematics and Informatic, Abdelhafidh Boussouf
University Center of Mila, Mila, AlgeriaKamelHaouamDepartment of Mathematics and Informatics, Faculty of Exact Sciences, Natural and Life Sciences, El Arbi Tebessi University, Tebessa,
Algeria.Journal Article20210620In this paper, we use the homoclinic orbit approach without using small perturbations to prove the existence of soliton solutions of the discrete nonlinear Schrödinger equations with long-range interaction by employing the properties of the symmetries of reversible planar maps. Moreover, the long-range interaction by a potential proportional to $1/l^{1+alpha} $ with fractional $alpha < 1 $ and $l $ as natural number.https://ijnaa.semnan.ac.ir/article_5502_f21983ef198669fc7d6bca41170343fe.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Approximate analytic solution of composed linear descriptor operator system using functional analysis approach365378550310.22075/ijnaa.2022.5503ENHams M.Al-HelliDepartment of Mathematics, College of Science, Mustansiriyah University, Baghdad, IraqRadhi A.ZaboonDepartment of Mathematics, College of Science, Mustansiriyah University, Baghdad, IraqJournal Article20210914This paper focuses on the solvability and approximate analytic solution of composed linear descriptor operator with constant coefficient, using functional (Variational) approach. This approach is based on finding a suitable functional form whose critical points are the solution of the proposed problem and the solution of a proposed problem is a critical point of the obtained variational functional defined on suitable reflexive Hilbert space since the existence of this approach is based on the symmetry and positivity of the composed linear descriptor operator on Hilbert space. The necessary mathematical requirements are derived and proved. A step-by-step computational algorithm is proposed. Illustration and computation with the giving exact solution are also proposed.https://ijnaa.semnan.ac.ir/article_5503_14b97b3e414ab0e83bde4077e9b75ea5.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Evaluation of longitudinal wave velocity and elasticity modulus of concrete at different ages considering mixing ratios379396550410.22075/ijnaa.2021.18485.2015ENMehdiSabaghDepartment of Civil Engineering, Sharif University of Technology, Tehran, Iran0000-0001-7713-7476MansourAsgari KhorasganiDepartment of Civil Engineering, Islamic Azad University, Najafabad Branch, Najafabad, IranMohammad TaghiKazemiDepartment of Civil Engineering, Sharif University of Technology, Tehran, IranJournal Article20190815Concrete is a material that the mechanical properties of which change over time. This change is due to chemical reactions within the concrete known as hydration. One of these properties is the modulus of elasticity and longitudinal wave velocity, which has a direct relation with the concrete age and its setting. Just after the materials mixing, the concrete setting is fast, and over time its rate decreases. Here, a series of cubic concrete specimens are prepared and changing in longitudinal wave velocity and modulus of elasticity in different ages is monitored during the process of curing and a relationship has been presented. Materials specifications impact and concrete mixing ratios, including the water to cement ratio and fine to coarse aggregates ratio is studied. Ultrasonic wave velocity has been increased faster at early ages of specimens where the concrete setting process is fast and in last days, rates of increasing the longitudinal wave velocity decreases. An increase in the water to cement ratio leads to increases in the longitudinal wave velocity over time. The empirical equations have been formulated as logarithmic curves. These empirical equations have been developed and a model with more efficiency and precision has been presented. These empirical equations can be used in the analytical and numerical analysis of structures. These models can be used to determine the loading time of concrete structures and to predicting their other physical and mechanical properties, such as strength and stiffness.https://ijnaa.semnan.ac.ir/article_5504_43df1994326bbc284b3c5531fc2d5c09.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101The existence of periodic solutions to doubly degenerate Allen-Cahn equation with Neumann boundary condition397408550510.22075/ijnaa.2022.5505ENRaad AwadHameedDepartment of Mathematics, College of education for pure science, Tikrit University.Maan A.RasheedDepartment of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraqhttps://orcid.org/00Hekmat Sh.MustafaDepartment of Mathematics, College of Education, Al- Hamdaniya University, Mosul, IraqFaez N.GhaffooriDepartment of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, IraqJournal Article20210914This work is concerned with the periodic solution of a doubly degenerate Allen-Cahn equation with nonlocal terms associated with Neumann boundary conditions. Firstly, we define a new associated auxiliary problem. Secondly, the topological degree theorem is applied to prove the existence of a limit point to the auxiliary problem, where this limit point represents a nontrivial nonnegative time-periodic solution of the main studied problem. It is observed that the topological degree theorem technique plays an important role in proving the desired results. Furthermore, this technique can be applied to other similar equations with homogeneous Dirichlet or Neumann boundary conditions.https://ijnaa.semnan.ac.ir/article_5505_38a74da87b97ddb34ded83786807d966.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Comparison of Harder stability and Rus stability of Mann iteration procedure and their equivalence409420550810.22075/ijnaa.2021.17495.1939ENGutti Venkata RavindranadhBabuDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, IndiaGedalaSatyanarayanaDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, India.Journal Article20190325In this paper, we study the stability of Mann iteration procedure in two directions, namely one due to Harder and the second one due to Rus with respect to a map $T:Kto K$ where $K$ is a nonempty closed convex subset of a normed linear space $X$ and there exist $deltain(0,1)$ and $Lgeq 0$ such that $||Tx-Ty||leqdelta||x-y||+L||x-Tx||$ for $x,yin K$. Also, we show that the Mann iteration procedure is stable in the sense of Rus may not imply that it is stable in the sense of Harder for weak contraction maps. Further, we compare and study the equivalence of these two stabilities and provide examples to illustrate our results.https://ijnaa.semnan.ac.ir/article_5508_73c55573cbd9c4cd62f4df92bd2278b4.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Uniform stability of integro-differential inequalities with nonlinear control inputs and delay421430550910.22075/ijnaa.2022.5509ENSameer QasimHasanDepartment of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraqhttps://orcid.org/00Maan A.RasheedDepartment of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraqhttps://orcid.org/00Talat JassimAldhlkiDepartment of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraqhttps://orcid.org/00Journal Article20210915In this paper, the uniform stability for the solution of integro-differential inequalities, with nonlinear control inputs and delay functions, is investigated by using some inequality estimator conditions. Moreover, we apply the obtained results on the solutions of some proposed classes of integro-differential inequalities with nonlinear control input functions as problem formulations examples. The results show that the stability technique used in this work is efficient and robust and it can be applied to a general class and various types of integro-differential inequalities.https://ijnaa.semnan.ac.ir/article_5509_ebf9af71c46cabd8972ee1105a597769.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Inequalities for an operator on the space of polynomials431439551410.22075/ijnaa.2021.22378.2355ENNisar AhmadRatherDepartment of Mathematics,
University of KashmirAaqibIqbalDepartment of Mathematics,
University of KashmirIshfaq AhmadDarDepartment of Mathematics,
University of KashmirJournal Article20210113Let $mathcal{P}_n$ be the class of all complex polynomials of degree at most $n.$ Recently Rather et. al.[ On the zeros of certain composite polynomials and an operator preserving inequalities, Ramanujan J., 54(2021) 605–612. url{https://doi.org/10.1007/s11139-020-00261-2}] introduced an operator $N : mathcal{P}_nrightarrow mathcal{P}_n$ <br /> defined by $N[P](z):=sum_{j=0}^{k}lambda_jleft(frac{nz}{2}right)^jfrac{P^{(j)}(z)}{j!}, ~ k leq n$ where $lambda_jinmathbb{C}$, $j=0,1,2,ldots,k$ are such that all the zeros of $phi(z) = sum_{j=0}^{k} binom{n}{j}lambda_j z^j$ lie in the half plane $|z| leq left| z - frac{n}{2}right|$ and established certain sharp Bernstein-type polynomial inequalities. In this paper, we prove some more general results concerning the operator $N : mathcal{P}_n rightarrow mathcal{P}_n$ preserving inequalities between polynomials. Our results not only contain several well known results as special cases but also yield certain new interesting results as special cases.https://ijnaa.semnan.ac.ir/article_5514_783dd656b7da60f84dab87531da4e7eb.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Blow up of solutions for a r(x)-Laplacian Lam'{e} equation with variable-exponent nonlinearities and arbitrary initial energy level441450551610.22075/ijnaa.2021.23671.2578ENMohammadShahrouziDepartment of Mathematics, Jahrom University, Jahrom, Iran0000-0001-9308-0115Journal Article20210612In this paper, we consider the nonlinear $r(x)-$Laplacian Lam'{e} equation<br /> $$<br /> u_{tt}-Delta_{e}u-divbig(|nabla u|^{r(x)-2}nabla ubig)+|u_{t}|^{m(x)-2}u_{t}=|u|^{p(x)-2}u<br /> $$<br /> in a smoothly bounded domain $Omegasubseteq R^{n}, ngeq1$, where $r(.), m(.)$ and $p(.)$ are continuous and measurable functions. Under suitable conditions on variable exponents and initial data, the blow-up of solutions is proved with negative initial energy as well as positive.https://ijnaa.semnan.ac.ir/article_5516_2a8e3eb4dfc31a013e4e990eba4908eb.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101On existence of solutions for some functional integral equations in Banach algebra by fixed point theorem451466551510.22075/ijnaa.2021.23635.2570ENManochehrKazemiDepartment of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran0000-0001-8392-6690Journal Article20210609In this research, we analyze the existence of solution for some nonlinear functional integral equations using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in<br /> Banach space. The results obtained in this paper cover many existence results obtained by numerous<br /> authors under some weaker conditions. We also give an example satisfying the conditions of our main<br /> theorem but not satisfying the conditions described by other authors.https://ijnaa.semnan.ac.ir/article_5515_5e731d50928adc39ed179ae5e06b29cf.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101A numerical scheme for solving variable order Caputo-Prabhakar fractional integro-differential equation467484551710.22075/ijnaa.2020.21181.2240ENBagherBagharzadehtvasaniDepartment of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan
Branch, Islamic Azad University, Lahijan, IranAmir HoseinRefahi SheikhaniDepartment of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan
Branch, Islamic Azad University, Lahijan, Iran0000-0003-1664-5471HosseinAminikhahDepartment of Applied Mathematics, Faculty of Mathematical Sciences,
University of Guilan, Rasht, Iran0000-0002-2378-5782Journal Article20200823In this paper we apply the Chebyshev polynomials method for the numerical solution of a class of variable-order fractional integro-differential equations with initial conditions. Moreover, a class of variable-order fractional integro-differential equations with fractional derivative of Caputo-Prabhakar sense is considered. The main aim of the Chebyshev polynomials method is to derive four kinds of operational matrices of Chebyshev polynomials. With such operational matrices, an equation is transformed into the products of several dependent matrices, which can also be viewed as the system of linear equations after dispersing the variables. Finally, numerical examples have been presented to demonstrate the accuracy of the proposed method, and the results have been compared with the exact solution.https://ijnaa.semnan.ac.ir/article_5517_e0c2c674dae3ae90d807af8d52f822be.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Investigating essential factors in the spread of lassa fever dynamics through sensitivity analysis485497551910.22075/ijnaa.2021.22707.2405ENTaye SamuelFaniranDepartment of Computer Science, Lead City University, IbadanE. O.AyoolaDepartment of Mathematics, University of Ibadan, IbadanJournal Article20210219Lassa fever is a zoonotic acute viral illness caused by Lassa virus. Since there is no vaccine yet to protect against contracting the virus, it continues to spread in West Africa. In this paper, a mathematical model of lassa transmission that considers two classes of rats: house rat and bush rat, is proposed. Theoretically, global stability of the model disease-free and endemic equilibria are established by constructing a global Lyapunov function. Sensitivity indices of the basic reproduction number are derived using the normalised forward approach to evaluate the effectiveness of control measures. The disease-free equilibrium is globally asymptotically stable when the basic reproduction<br /> number R0 < 1 and the unique endemic equilibrium is globally asymptotically stable when R0 > 1. Results from sensitivity analysis reveals that rat biting rate for infectious house rats RFH and infectious bush rats R_FB, transmission probability per contact with infectious house and bush rats (R_FH and R_FB), human recruitment rate and transmission probability per contact with infectious human hosts are highly significant in determining the severity of lassa infection. On the other hand, natural death rate of rats, natural death rate of human hosts, recovery and hospitalization rates of human hosts are critical for lassa transmission reduction. Plans that target the contact rate between house and bush rats (i.e use of indoor residual spray, fumigation of environment with pesticide) and<br /> those that target recovery rate of human hosts (i.e treatment of infectious human hosts) are recommended to control the disease.https://ijnaa.semnan.ac.ir/article_5519_a6b6a8e6ade531d462dafefc6a7c52b1.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Forecasting time series using Vector Autoregressive Model499511552110.22075/ijnaa.2022.5521ENLemya TahaAbdullahCollege of Arts - Information Technology Unit, University of Baghdad, Baghdad, Iraq.Journal Article20210917In this study, a vector Autoregressive model was used to analysis the relationship between two time series as well as forecasting. Two financial time series have been used, which are a series of global monthly oil price and global monthly gold price in dollars for a period from January 2015 to Jun 2019. It has 54 monthly values, where the data has been transferred to get the Stationarity, Diekey Fuller test for the Stationarity was conducted. The best three order for model was determined through a standard Akaike information AIC, it is VAR(7) , VAR(8) and VAR(10) respectively. The comparison was made between selected orders by AIC based on the accuracy measure and mean square error (MSE). It turns out that less MSE value of the VAR(10) model. Some tests were conducted like Lagrange-multiplier, Portmanteau, Jarque - Bera to residuals for the selected model, with forecasting for the VAR(10) model for the period from Jun 2019 to Jun 2021 , It is 24 monthly value. It turns out that less MSE for forecasting value for oil price series is to VAR(7) model and less MSE for forecasting value for gold price series is VAR(10) model. The results have been computed through the Stata program.Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101On the estimation the reliability stress-strength model for the odd Fr`{e}chet inverse exponential distribution513521552410.22075/ijnaa.2022.5524ENA. A.EmanDepartment of Mathematics, Baghdad University, College of Education for Pure Sciences (Ibn Al--Haitham), Baghdad, IraqAbbas N.SalmanDepartment of Mathematics, Baghdad University, College of Education for Pure Sciences (Ibn Al--Haitham), Baghdad, IraqJournal Article20210918The maximum likelihood estimator employs in this paper to shrinkage estimation procedure for an estimate the system reliability $R$ in the stress-strength model, when the stress and strength are independent and non-identically random variables and they follows the odd Fr`{e}chet inverse exponential distribution (OFIED). Comparisons among the proposed estimators were presented depend on simulation established on mean squared error (MSE) criteria.https://ijnaa.semnan.ac.ir/article_5524_114fb28b7507620c8d2f8e9a9758e235.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101On the Nonlinear Impulsive Volterra-Fredholm Integrodifferential Equations523537552710.22075/ijnaa.2020.20005.2117ENPallavi U.ShikhareDepartment of Mathematics,
Shivaji University, Kolhapur-416 004,
Maharashtra, India.Kishor DKuccheShivaji University, Kolhapur.JoseSousaDepartment of Applied Mathematics, Imecc-Unicamp, 13083-859, Campinas, SP, Brazil.Journal Article20200310In this paper, we investigate existence and uniqueness of solutions of nonlinear Volterra-Fredholm impulsive integrodifferential equations. Utilizing theory of Picard operators we examine data dependence of solutions on initial conditions and on nonlinear functions involved in integrodifferential equations. Further, we extend the integral inequality for piece-wise continuous functions to mixed case and apply it to investigate the dependence of solution on initial data through $epsilon$-approximate solutions. It is seen that the uniqueness and dependency results got by means of integral inequity requires less restrictions on the functions involved in the equations than that required through Picard operators theory.https://ijnaa.semnan.ac.ir/article_5527_62fca4392d304bcbc05f67148bd9e8c2.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101The impact of petrochemical industry economic activities on environmental factors using a fuzzy mathematical programming model539553551010.22075/ijnaa.2021.23377.2525ENAbdolkhaleghVadianDepartment of Industrial Management, Firoozkooh Branch, Islamic Azad University, Firoozkooh, IranMohammad MehdiMovahediDepartment of Industrial Management, Firoozkooh Branch, Islamic Azad University, Firoozkooh, IranAmir GholamAbriDepartment of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, IranMohammad RezaLotfiDepartment of Industrial Management, Firoozkooh Branch, Islamic Azad University, Firoozkooh, IranJournal Article20210509Due to the nature of activities and processes, the petrochemical industry causes the production of industrial effluents, emissions and wastes that have adverse effects on the environment. The purpose of this study is to investigate the effect of petrochemical economic activities on environmental factors. In this paper, in order to minimize the costs and the amount of pollution caused by the emission of harmful gases, the closed-loop green supply chain model has been used, in which direct and reverse logistics networks have been considered. As a result, a fuzzy mathematical programming model has been developed for when the data are not definitively known. After the demand parameters and the amount of pollution are considered fuzzy, the maximum and bisector mean methods of the area are considered as methods (diffusion) of comparison and ranking of fuzzy definite numbers, and by adding Limitations of these two methods, the model was developed. To solve the model with real data, a plant from the petrochemical industry was selected and the data were prepared for a solution with very good estimates. Finally, the colonial competition algorithm was used to solve it. According to the model, its applicability was shown to reduce the number of environmental pollutants along with the reduction of transportation and waste, and the model for the closed-loop supply chain, which simultaneously considers two direct and inverse logistics networks. It is appropriate.https://ijnaa.semnan.ac.ir/article_5510_9d6a44f8ba605a00c773ff7d5192a6df.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101n-Jordan *-Derivations in Frechet locally C*-algebras555562553210.22075/ijnaa.2020.19996.2116ENJavadJamalzadehDepartment of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran0000-0003-0031-1426KhatereGhasemiDepartment of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, IranShahramGhaffaryDepartment of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, IranJournal Article20200309Using the fixed point method, we prove the Hyers-Ulam stability and the superstability of $n$-Jordan $*$-derivations in Fr'echet locally $C^*$-algebras for the following generalized Jensen-type functional equation<br />$$ fleft(frac{ a+b}{2} right) + fleft( frac{a-b}{2} right) =f(a).$$https://ijnaa.semnan.ac.ir/article_5532_772791b2081a9cb65e423eae02f8874e.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101On the invariance properties of Vaidya-Bonner geodesics via symmetry operators563571553810.22075/ijnaa.2020.21159.2238ENDavoodFarrokhiDepartment of Mathematics, Karaj Branch, Islamic Azad University, karaj, Iran.RohollahBakhshandeh ChamazkotiDepartment of Mathematics, Faculty of Basic Sciences,
Babol Noshirvani University of Technology, Babol, IranMehdiNadjafikhahSchool of Mathematics,
Iran University of Science and Technology
Narmak, Tehran, 16846-13114, IranJournal Article20200820In the present paper, we try to investigate the Noether symmetries and Lie point symmetries of the<br /> Vaidya-Bonner geodesics. Classification of one--dimensional subalgebras of Lie<br /> point symmetries are considered. In fact, the collection of pairwise non-conjugate one--dimensional<br /> subalgebras that is called the optimal system of subalgebras is determined. Moreover, as illustrative<br /> examples, the symmetry analysis is implemented on two special cases of the system.https://ijnaa.semnan.ac.ir/article_5538_7dd244362d6ce0af09636413b9ba6798.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220101Some Coupled Coincidence and Coupled Common Fixed Point Result in Dislocated Quasi b-Metric Spaces for Rational Type Contraction Mappings573582553910.22075/ijnaa.2020.21543.2270ENMesaud TesfayeYimerDepartment of Mathematics, College of Natural and Computational Science, Samara University, Samara,EthiopiaIJNAA-2010-2270KidaneKoyasDepartment of Mathematics, Jimma University, Jimma, EthiopiaSolomonGebregiorgisDepartment of Mathematics, Jimma University, Jimma, EthiopiaJournal Article20201010The aim of this paper is to establish coupled coincidence and coupled common fixed point theorems involving a pair of weakly compatible mappings satisfying rational type contractive condition in the setting of dislocated quasi b-metric spaces. The presented result improves and generalizes several well-known comparable results in the existing literature. We also provided an example in support of our main result.https://ijnaa.semnan.ac.ir/article_5539_0a77b6b0932abe488807ea0dea6bef8e.pdf