International Journal of Nonlinear Analysis and Applications
https://ijnaa.semnan.ac.ir/
International Journal of Nonlinear Analysis and Applicationsendaily1Tue, 21 Feb 2017 00:00:00 +0330Tue, 21 Feb 2017 00:00:00 +0330A common fixed point theorem via measure of noncompactness
https://ijnaa.semnan.ac.ir/article_2318.html
In this paper by applying the measure of noncompactness a common fixed point for the maps $T$ and $S$ is obtained, where $T$ and $S$ are self maps continuous or commuting continuous on a closed convex subset $C$ of a Banach space $E$ and also $S$ is a linear map.New Hermite-Hadamard type inequalities on fractal set
https://ijnaa.semnan.ac.ir/article_3097.html
In this study we present the new Hermite-Hadamard type inequality for functions which are h-convex on fractal set ℝ^{&alpha;} (0&lt;&alpha;&le;1) of real line numbers. Then we provide the special cases of the result using different type of convex mappings.Some results on second transpose of a dual valued derivation
https://ijnaa.semnan.ac.ir/article_3532.html
Let $A$ be a Banach algebra and $X$ be an arbitrary Banach $A$-module. In this paper, we study the second transpose of derivations with value in dual Banach $A$-module $X^{*}.$ Indeed, for a continuous derivation $D:A\longrightarrow X^{*}$ we obtain a necessary and sufficient condition such that the bounded linear map $\Lambda\circ D^{\prime\prime}:A^{**}\longrightarrow X^{***}$ to be a derivation, where $\Lambda$ is composition of restriction and canonical injection maps. This characterization generalizes some well known results in \cite{aef}.Characterizations of the set containment with star-shaped constraints
https://ijnaa.semnan.ac.ir/article_3533.html
In 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.Common Fixed Point Theorems with Applications to Theoretical Computer Science
https://ijnaa.semnan.ac.ir/article_3674.html
Fractals of Generalized -Hutchinson Operator
https://ijnaa.semnan.ac.ir/article_3675.html
Fixed points for Banach and Kannan contractions in G-metric spaces endowed with a graph
https://ijnaa.semnan.ac.ir/article_3678.html
(G: )Ciric-Reich-Rus contraction on metric space endowed with a graph
https://ijnaa.semnan.ac.ir/article_3724.html
The Essential of Applying Nonlinear-Analysis to Validate Experiments, Assessing Superior Brain Functions: Case-Study of a Bayesian-Model of Inhibitory Control in ADHD
https://ijnaa.semnan.ac.ir/article_3946.html
In the last decades, nonlinear methods have been applied, in a large number of studies from the computational neuroscience field, to describe neuronal implementations of superior brain functions. Superior brain functions, called cognitive functions, control our behavior. Therefore, they should be assessed through evaluating individual performances in the experiments, using standard tasks, which represent the condition that cognitive functions are required. The mathematical models of cognitive functions, in neuronal implementation level, are based on real condition of standard cognitive tasks. However, it is not validated whether applied task conditions are appropriate to represent neuronal implementation of a cognitive function. Hence, as a case-study, we used a developed Bayesian Model to assess whether GoNoGo task is valid to be applied for neural measurement and modeling neural implementation of Inhibitory Control (IC). As GoNoGo is the most common task used for neural measurement of impaired cognitive function (IC) in ADHD, we fit the model to behavioral data of two groups of children/adolescents with and without ADHD. The results demonstrated that the model could simulated the behavioral data; and also the model parameters could differentiate the groups significantly. However, neural implementation of IC may not be represented through the rewarded condition of GoNoGo task. We concluded that before modeling neural implementation of cognitive functions, it is essential to apply nonlinear methods to validate current behavioral experiments computationally; or to design new model-based experiments for using in neural measurementsInvestigating the dynamics of Lotka-Volterra model with disease in the prey and predator species
https://ijnaa.semnan.ac.ir/article_3947.html
In 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 transcritical bifurcation with parameter $a$ were investigated, where $a$ was regarded as predation rate. It wasfound that when the parameter $a$ passed through a critical value, stability changed and Hopf bifurcation occured. 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 althought 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.ON THE SYSTEM OF DOUBLE EQUATIONS WITH THREE UNKNOWNS d+ay+bx+cx^2 =z^2 and y+z=x^2
https://ijnaa.semnan.ac.ir/article_3957.html
The 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.A Nonmonotone Hestenes ans Stiefel Conjugate Gradient Algorithm for Nonsmooth Convex Optimization
https://ijnaa.semnan.ac.ir/article_3958.html
Here, we propose a practical method for solving nonsmooth convex problems by using conjugate gradient type methods. We present a modified HS conjugate gradient method, as one of the most remarkable methods to solve smooth and large-scale optimization problems. In the case that we have a nonsmooth convex problem, by way of the Moreau-Yosida regularization, we convert the nonsmooth objective function to a smooth function and then we use our method, by making use of a nonmonotone line search, for solving a nonsmooth convex optimization problem. We prove that our algorithm converges to an optimal solution under standard condition. Our algorithm inherits the performance of HS conjugate gradient method.Covarian mappings and coupled fiexd point results in bipolar metric spaces
https://ijnaa.semnan.ac.ir/article_4650.html
In this paper, we establish the existence and uniqueness of common coupled xed 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.A Real Time Adaptive Multiresolution Adaptive Wiener Filter Based On Adaptive Neuro-Fuzzy Inference System And Fuzzy evaluation
https://ijnaa.semnan.ac.ir/article_4651.html
In this paper, a real-time denoising filter based on modelling of stable hybrid models is presented. Thehybrid 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 thesignificant relationship between Optimal models and input images, changing the structure of Optimalmodels for image denoising is modelled by the ANFIS. The eight hundred digital images are usedas train images. For eight hundred training images, Sixty seven models are found. For integratedevaluation, the amounts of image attributes such as Peak Signal to Noise Ratio, Signal to Noise Ratio,Structural Similarity Index, Mean Absolute Error and Image Quality Assessment are evaluated bythe Fuzzy deduction system. Finally, for the features of a sample noisy image as test data, theproposed denoising model of ANFIS is compared with wavelet filter in 2 and 4 level , Fast bilateralfilter, TV-L1, Median, shearlet filter and the adaptive Wiener filter. In addition, run time of proposedmethod are evaluated. Experiments show that the proposed method has better performance thanothers.A numerical solution of variable order diusion and wave equations
https://ijnaa.semnan.ac.ir/article_4652.html
In this work, we consider variable order difusion and wave equations. The derivative is describedin the Caputo sence of variable order. We use the Genocchi polynomials as basic functions andobtain operational matrices via these polynomials. These matrices and collocation method help usto convert variable order diusion and wave equations to an algebraic system. Some examples aregiven to show the validity of the presented method.A New Technique of Reduce Differential Transform Method to Solve Local Fractional PDEs in Mathematical Physics
https://ijnaa.semnan.ac.ir/article_4653.html
In this manuscript, we investigate solutions of the partial differential equations (PDEs) arising inmathematical physics with local fractional derivative operators (LFDOs). To get approximate solutionsof these equations, we utilize the reduce differential transform method (RDTM) which is basedupon the LFDOs. Illustrative examples are given to show the accuracy and reliable results. Theobtained solutions show that the present method is an efficient and simple tool for solving the linearand nonlinear PDEs within the LFDOs.A meta-heuristic clustering method to reduce energy consumption in Internet of Things
https://ijnaa.semnan.ac.ir/article_4657.html
The 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.Linkage factors optimization of Multi-outputs of compliant mechanism using Response Surface
https://ijnaa.semnan.ac.ir/article_4658.html
This 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&rsquo;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 &Theta;1) 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 (&theta;1) 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 (&Theta;1). Thus, this technique shown flexibility based on the product application could be tested and established.Excellence of Financial Reporting Information and Investment Productivity
https://ijnaa.semnan.ac.ir/article_4659.html
Objective &ndash;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 &ndash;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 &ndash; 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 &ndash; 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 &ndash; 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.Automatic QoS-aware Web Services Composition based on Set-Cover Problem
https://ijnaa.semnan.ac.ir/article_4664.html
By 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.A method for analyzing the problem of determining the maximum common fragments of temporal directed tree, that do not change with time
https://ijnaa.semnan.ac.ir/article_4671.html
In 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 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.Stability and convergence theorems of pointwise asymptotically nonexpansive random operator in Banach space
https://ijnaa.semnan.ac.ir/article_4681.html
In 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.CONTINUITY IN FUNDAMENTAL LOCALLY MULTIPLICATIVE TOPOLOGICAL ALGEBRAS
https://ijnaa.semnan.ac.ir/article_4685.html
Abstract. 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.Numerical Solution of Second Order IVP by Fuzzy Transform Method
https://ijnaa.semnan.ac.ir/article_4748.html
In 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.A Robust Optimization Approach for a Multi-Period Location-Arc Routing Problem with Time Windows: A Case Study of a Bank
https://ijnaa.semnan.ac.ir/article_4752.html
A 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.A Credible Threat against Oil Sanctions for Iran
https://ijnaa.semnan.ac.ir/article_4614.html
In this study, we use game theory to analyze the current situation ofIran and the United States as a result of the US withdrawal from theComprehensive Plan of Action and the imposition of financial and oilsanctions on Iran and Iran's resilience to these sanctions. We alsopresent an oil strategy, as a credible threat, that helps Iran to get outof the sanctions.A note on some new Hermite--Hadamard type inequalities for functions whose $n$th derivatives are strongly $\eta$-convex
https://ijnaa.semnan.ac.ir/article_4755.html
In 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.Deep inference: A Convolutional Neural Networks Method for Parameter Recovery of the Fractional Dynamics
https://ijnaa.semnan.ac.ir/article_4757.html
Parameter 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.On the dynamics of a nonautonomous rational difference equation
https://ijnaa.semnan.ac.ir/article_4760.html
&lrm;In this paper&lrm;, &lrm;we study the following nonautonomous rational difference equation&lrm; &lrm;\[&lrm; &lrm;y_{n+1}=\frac{\alpha_n+y_n}{\alpha_n+y_{n-k}},\quad n=0,1,...&lrm;, &lrm;\]&lrm; &lrm;where $\left\{\alpha_n\right\}_{n\geq0}$ is a bounded sequence of positive numbers&lrm;, &lrm;$k$ is a positive integer and the initial values $y_{-k},...,y_0$ are positive real numbers&lrm;. &lrm;We give sufficient conditions under which the unique equilibrium $\bar{y}=1$ is globally asymptotically stable&lrm;. &lrm;Furthermore&lrm;, &lrm;we establish an oscillation result for positive solutions about the equilibrium point&lrm;. &lrm;Our work generalizes and improves earlier results in the literature&lrm;.Four Step Hybrid Block Method for the Direct Solution of Fourth Order Ordinary Differential Equations
https://ijnaa.semnan.ac.ir/article_4762.html
&lrm;This paper proposes a direct four-step implicit hybrid block method for directly solving general fourth-order initial value problems of ordinary differential equations&lrm;. &lrm;In deriving this method&lrm;, &lrm;the approximate solution in the form of power series is interpolated at four points&lrm;, &lrm;i.e $ x_n,\,\&lrm;, &lrm;x_{n+1}\,\,x_{n+2}\,\,x_{n+3} $ while its forth derivative is collocated at all grid points&lrm;, &lrm;i.e $ x_n&lrm;, &lrm;\,\,x_{n+\frac{1}{4}},\,\&lrm;, &lrm;x_{n+1}&lrm; , &lrm;\,\,x_{n+2}&lrm;, &lrm;\,\,x_{n+\frac{5}{2}}&lrm;, &lrm;\,\,x_{n+3}&lrm;, &lrm;\,\,x_{n+\frac{7}{2}} $ and $ x_{n+4} $ to produce the main continuous schemes&lrm;. &lrm;In order to verify the applicability of the new method&lrm;, &lrm;the properties of the new method such as local truncation error&lrm;, &lrm;zero stability&lrm;, &lrm;order and convergence are also established&lrm;. &lrm;The performance of the newly developed method is then compared with the existing methods in terms of error by solving the same test problems&lrm;. &lrm;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&lrm;.Approximating Common Fixed Points of Mean Nonexpansive Mappings in Hyperbolic Spaces
https://ijnaa.semnan.ac.ir/article_4775.html
In this paper&lrm;, &lrm;we prove some fixed points properties and demiclosedness principle for mean nonexpansive mapping in uniformly convex hyperbolic spaces&lrm;. &lrm;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&lrm;. &lrm;The results obtained in this paper extend and generalize corresponding results in uniformly convex Banach spaces&lrm;, &lrm;CAT(0) spaces and other related results in literature.Some fixed point theorems for $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces with application to fractional integral equations
https://ijnaa.semnan.ac.ir/article_4776.html
&lrm;Recently Hamed H Alsulami et al introduced the notion of&lrm; &lrm;($\alpha$-$\psi$)-rational type contractive mappings&lrm;. &lrm;They have been&lrm; &lrm;establish some fixed point theorems for the mappings in complete&lrm; &lrm;generalized metric spaces&lrm;. &lrm;In this paper&lrm;, &lrm;we introduce the notion&lrm; &lrm;of some fixed points theorems for $\alpha_{*}$-$\psi$-common&lrm; &lrm;rational type mappings on generalized metric spaces with application&lrm; &lrm;to fractional integral equations and give a common fixed point&lrm; &lrm;result about fixed points of the&lrm; &lrm;set-valued mappings&lrm;.An effective algorithm to solve option pricing problems
https://ijnaa.semnan.ac.ir/article_4782.html
&lrm;We are aimed to develop a fast and direct algorithm to solve linear&lrm;&nbsp;complementarity problems (LCP's) arising from option pricing problems&lrm;.&nbsp;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 $\mathbb{R}^m$&lrm;.&nbsp;&lrm;We develop a fast and direct algorithm based on the active set strategy to solve the LCP's&lrm;.&nbsp;The active set strategy in general needs $O(2^m m^3)$ operations to solve $m$ dimensional LCP's&lrm;. &lrm;Using Thomas algorithm&lrm;, &lrm;we develop an algorithm with order of complexity $O(m)$ which can extremely speed up the computations&lrm;.On certain properties for new subclass of meromorphic starlike functions
https://ijnaa.semnan.ac.ir/article_4783.html
&lrm;In this paper we studying some properties of starlike function of order $\lambda$ which satisfy in the condition&lrm; &lrm;$$\Re(\frac{zf^{'}(z)}{f(z)}+\alpha\frac{z^{2}f^{''}(z)}{f(z)})&lt;1-\lambda+\alpha$$&lrm; &lrm;\\for all $z\in U=\{z:|z|&lt;1\}$&lrm;, &lrm;where $f(z)=1+\sum_{k=1}^\infty a_{k}z^{k}$ is analytic in $U$&lrm;, &lrm;$0\leqslant\alpha&lt;2$ and $0\leqslant\lambda&lt;1$&lrm;. &lrm;Our results extend previos results given by Aghalary et al.&lrm; &lrm;(2009) and Wang et al.(2014).A generalization of Darbo's theorem with application to the solvability of systems of integral-Differential equations in Sobolev spaces
https://ijnaa.semnan.ac.ir/article_4784.html
&lrm;In this article&lrm;, &lrm;we introduce the notion of $(\alpha,\beta)$-generalized Meir-Keeler condensing operator in a&lrm;&nbsp;&lrm;Banach space&lrm;, &lrm;a characterization using strictly L-functions and provide an extension of Darbo's fixed point theorem associated with measures&lrm;&nbsp;of noncompactness&lrm;. &lrm;Then&lrm;, &lrm;we establish some results on the existence of coupled fixed points for a&lrm;&nbsp;&lrm;class of condensing operators in Banach spaces&lrm;. &lrm;As an application&lrm;, &lrm;we study the&lrm;&nbsp;&lrm;problem of existence of entire solutions for a general system of nonlinear integral-differential equations in a Sobolev space&lrm;. &lrm;Further&lrm;,&nbsp;an example is presented to verify the effectiveness and applicability of our main results&lrm;.On the efficient of adaptive methods to solve nonlinear equations
https://ijnaa.semnan.ac.ir/article_4799.html
The 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.&lrm;Positive Solutions for Fractional-order Nonlinear Boundary Value Problems on Infinite Interval
https://ijnaa.semnan.ac.ir/article_4800.html
&lrm;In this paper&lrm;, &lrm;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&lrm;. &lrm;As applications&lrm;, &lrm;some examples are given to illustrate the main results&lrm;.A Novel Method for Detection of Fraudulent Bank Transactions using Multi-Layer Neural Networks with Adaptive Learning Rate
https://ijnaa.semnan.ac.ir/article_4562.html
Fraud refers to earn wealth including property, goods and services through immoral and non-legalchannels. Fraud has always been in action and experiences an increasing trend worldwide. Fraud infinancial transactions not only leads to losing huge financial resources, but also leads to reductionin trust of customers on using modern banking systems and hence, reduction in efficiency of thesystems and optimal management of financial transactions. In recent years, by emerging new tech-nologies of banking industry, new means of fraud are discovered. Although a new information systemcarry advantages and benefits, new opportunities are made for fraudsters. The applications of frauddetection methods encompasses detection of frauds in an organization, analysis of frauds and alsouser/customer behavior analytics in order to predict future behavior and reduce the fraud risks. Inrecent decades, employing new technologies in management of banking transactions has risen. Banks and financial institutions inevitably migrated from traditional banking to modern online banking to provide effective services. Although, the use of online banking systems improves the management of financial processes and speeds up services to customers of institutions, but some issues would also be carried. Financial frauds is one of the issues which organizations seek to prevent and reduceeffects. In this paper, a novel machine learning based model is presented to detect fraud in electronicbanking transactions using profile data of bank customers. In the proposed method, transactionaldata from banks are leveraged and a multi-layer perceptron neural network with adaptive learningrate is trained to prove the validity of a transaction and hence, improve the fraud detection in elec-tronic banking. The proposed method shows promising results compared with logistic regression andsupport vector machines.Energy Aware Multi Objective Algorithm for Task Scheduling on DVFS-Enabled Cloud Datacenters using Fuzzy NSGA-II
https://ijnaa.semnan.ac.ir/article_4666.html
Nowadays, energy consumption is curtailed in an effort to further protect the environment as well as to avoid service level agreement (SLA) breach, as critical issues in task scheduling on heterogeneous computing centers. Any reliable task scheduling algorithm should minimize energy consumption, makespan, and cost for cloud users and maximize resource utilization. However, reduction of energy consumption leads to larger makespan and decreases load balancing and customer satisfaction. Therefore, it is essential to obtain a set of non-domination solutions for these multiple, conflicting objectives, as a non-linear, multi-objective, NP-hard problem. This paper formulates the energy efficient task scheduling in green data centers as a multi-objective optimization problem so that fuzzy Non-dominated Sorting Genetic Algorithm 2 (NSGA-II) has been applied using the concept of Dynamic Voltage Frequency Scaling (DVFS). In this procedure, we adopted fuzzy crossover and mutation for optimal convergence of initial solutions. For this purpose, the binary variance function of gene values and the mean variance function of objective values are proposed for fuzzy control of mutation rate, increasing the variation in the optimal Pareto front as well as the correct frequency variance function of the processors engaged in scheduling to control the crossover rate. This serves to add the objective of indirect load balancing to the optimization objectives, thereby to replace the three-objective optimization process with four-objective optimization. In the experiments, the proposed NSGA-II with fuzzy algorithm is compared against the NSGA-II algorithm, involving three scheduling strategies namely Green, Time and Cost Oriented Scheduling Strategy. The simulation results illustrate that the newly method finds better solutions than others considering these objectives and with less iteration. In fact, the optimal Pareto solutions obtained from the proposed method improved the objectives of makespan, cost, energy and load balance by 4%, 17%, 1% and 13%, respectively.