Islamic Azad University of ArakTheory of Approximation and Applications2538-221714220191201Application of semi-analytic method to compute the moments for solution of logistic model118666926ENMohammadAliJafariRudsar stJournal Article20190625The population growth, is increase in the number of individuals in population and it depends on some random environment eﬀects. There are several diﬀerent mathematical models for population growth. These models are suitable tool to predict future population growth. One of these models is logistic model. In this paper, by using Feynman-Kac formula, the Adomian decomposition method is applied to compute the moments for the solution of logistic stochastic diﬀerential equation.Islamic Azad University of ArakTheory of Approximation and Applications2538-221714220201201Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings122670251ENHamid RezaSahebiDepartment of Mathematics, Islamic Azad UniversityJournal Article20190730In this paper, based on viscosity technique with perturbation, we introduce a new non-<br />linear viscosity algorithm for finding a element of the set of fixed points of nonexpansive<br />multi-valued mappings in a Hilbert space. We derive a strong convergence theorem for this<br />new algorithm under appropriate assumptions. Moreover, in support of our results, some<br />numerical examples (using Matlab software) are also presented.Islamic Azad University of ArakTheory of Approximation and Applications2538-221714220201201An approximate method for solving fractional system differential equations117671125ENMohammadAdabitabar FirozjaDepartment of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, IranBahramAgheliDepartment of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, IranJournal Article20190408IIn this research work, we have shown that it is possible to use fuzzy transform method (FTM) for the estimate solution of fractional system differential equations (FSDEs). In numerical methods, in order to estimate a function on a particular interval, only a restricted number of points are employed. However, what makes the F-transform preferable to other methods is that it makes use of all points in this interval. A number of clear and specific examples have been enumerated for the purpose of illustrating the simplicity and efficiency of the suggested method.Islamic Azad University of ArakTheory of Approximation and Applications2538-221714220201201Neutrosophic-Cubic Analaytic Hierarchy Process with Applications114671487ENMuhammadGulistanHazara UniversityIsmatBegLahore School of Economics, Lahore 53200,
Pakistan0000-0002-4191-1498MuhammadAsifHazara UniversityJournal Article20200129In this paper we extend fuzzy analytic hierarchy process into neutrosophic cubic environment. The neutrosophic cubic analytic hierarchy process can be used to manage more complex problems when the decision makers has a number of uncertainty, assigning preferences values to the considered object. We also define the concept of triangular neutrosophic cubic numbers and their operations laws. The advantages of the proposed methodology and the application of neutrosophic cubic analytic hierarchy process in decision making are shown by testing the numerical example in practical life.Islamic Azad University of ArakTheory of Approximation and Applications2538-221714220201201REMOTAL CENTERS AND CHEBYSHEV CENITERS IN NORMED SPACES116672425ENM.J.SALEHIPAYAM NOOR SHIRAZ UNIVERSITY, IRAN.Hamid MazaheriTehraniDepartment of Mathematics, Yazd University, Yazd, IranJournal Article20190823In this paper, we consider Nearest points" and Farthest<br />points" in normed linear spaces. For normed space (X; ∥:∥), the set W subset X,<br />we dene Pg; Fg;Rg where g 2 W. We obtion results about on Pg; Fg;Rg. We<br />nd new results on Chebyshev centers in normed spaces. In nally we dene<br />remotal center in normed spaces.Islamic Azad University of ArakTheory of Approximation and Applications2538-221714220201201A new method for solving two-dimensional fuzzy Fredholm integral equations of the second kind112672757ENMohsenDarabiDepartment of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, IranNouredinParandinFaculty of Science, Islamic Azad University, Kermanshah, IranMahmoudParipourDepartment of Mathematics, Hamedan University of Technology, Hamedan, IranAliSeifiDepartment of Mathematics, Islamic Azad University, Kermanshah Branch, Kermanshah, IranJournal Article20191221In this work, we introduce a novel method for solving two-dimensional fuzzy Fredholm integral equations of the second kind (2D-FFIE-2). We use new representation of parametric form of fuzzy numbers and convert a two-dimensional fuzzy Fredholm integral equation to system of two-dimensional Fredholm integral equations of the second kind in crisp case. We can use Adomian decomposition method for nding the approximation solution of the each equation, hence obtain an approximation for fuzzy solution of 2D-FFIE-2. We prove the convergence of the method and nally apply the method to some examplesIslamic Azad University of ArakTheory of Approximation and Applications2538-221714220201201Using finite difference method for solving linear two-point fuzzy boundary value problems based on extension principle118673612ENSeyed MajidAlaviMathematics department, Arak branch, Islamic Azad university-Arak-IranJournal Article20200210In this paper an efficient Algorithm based on Zadeh's extension principle has been investigated to approximate fuzzy solution of two-point fuzzy boundary value problems, with fuzzy boundary values. We use finite difference method in term of the upper bound and lower bound of $r$- level of fuzzy boundary values. The proposed approach gives a linear system with crisp tridiagonal coefficients matrix. This linear system determines $r$-level of fuzzy solution at mesh points. By combining of this solutions, we obtain fuzzy solution of main problem at mesh points, approximately. Its applicability<br />is illustrated by some<br />examplesIslamic Azad University of ArakTheory of Approximation and Applications2538-221714220201201An extension of stochastic differential models by using the Grunwald-Letnikov fractional derivative120673613ENMohammadAliJafariFinancial Mathematics, Finance Department, Kharazmi University, Tehran, IranNargesMousaviyDepartment of Financial Sciences, Kharazmi University, Tehran, IranJournal Article20191231Stochastic differential equations (SDEs) have been applied by engineers and economists because it can express the behavior of stochastic processes in compact expressions. In this paper, by using Grunwald-Letnikov fractional derivative, the stochastic differential model is improved. Two numerical examples are presented to show efficiency of the proposed model. A numerical optimization approach based on least square approximation is applied to determine the order of the fractional derivative. Numerical examples show that the proposed model works better than the SDE to model stochastic processes with memory.Islamic Azad University of ArakTheory of Approximation and Applications2538-221714220201201Best Proximity Points Results for Cone Generalized Semi-Cyclic φ-Contraction Maps115677848ENMarziehAhmadi BaseriDeparment of Mathematics, Yazd University, Yazd, IranHamid MazaheriTehraniDepartment of Mathematics, Yazd University, Yazd, IranT. D.NrangGuru Nanak Dev University, Amristar, IndiaJournal Article20201004In this paper, we introduce a cone generalized semi-cyclic<br />φ−contraction maps and prove best proximity points theorems for such maps<br />in cone metric spaces. Also, we study existence and convergence results of<br />best proximity points of such maps in normal cone metric spaces. Our results<br />generalize some results on the topic.Islamic Azad University of ArakTheory of Approximation and Applications2538-221714220201201The existence and uniqueness of the solution for uncertain functional differential equations118679917ENNazaninAhmadiUniversity of Applied Science and Technology, Center of Poolad Peechkar, Varamin, IranSamiraSiahmansouriUniversity of Applied Science and Technology, Center of Poolad Peechkar, Varamin, IranJournal Article20201122The uncertain functional differential equations are an<br />important tool to deal with dynamic systems including the<br />past states in uncertain environments. The contribution of<br />this paper to the uncertain functional differential equation<br />theory is to provide an existence and uniqueness theorem<br />under the weak Lipschitz condition and the linear growth<br />condition.Islamic Azad University of ArakTheory of Approximation and Applications2538-221714220201201Strong algebrability of C^* algebras122679918ENAlirezaSoleimaniFaculty of Mathematics, Tarbiat Modares University, tehran, iran0000-0001-9143-6309Journal Article20201125In this paper, we introduce the concept strong algebrability of certain C^* algebras generated by finite generators. In fact, using Gelfand theorem, we identify the members of the C^* algebra generated by one element, with the continuous functions on its spectrum, and use some recent result for strong algebrability for functions spaces.<br />Moreover, we introduce the new concept unitable elements in unital C^* algebras, and then we express our main result for this kind of elements. In fact, the C^* subalgebra generated by a non unitable element in a C^* algebra is strongly c algebrable.<br />As the last result in this paper, we show 2^c strong algebrability of direct sums of C^* algebras, using non unitable elements of themIslamic Azad University of ArakTheory of Approximation and Applications2538-221714220201201Skew Cyclic Codes Of Arbitrary Length Over R=Fp[v]/(v^2^k -1)117679919ENAlirezaSoleimaniFaculty of Mathematics, Tarbiat Modares University, tehran, iran0000-0001-9143-6309Journal Article20201125In thise paper we study an special type of Cyclic Codes called skew<br /> Cyclic codes over the ring R=Fp[v]/(v^2^k-1) where is a prime number. This sets<br /> Of codes are the result of module (or ring) structure of the skew polynomial ring<br />R=[x,Q] where v^2^k=1 and Q is an Fp automorphism such that Q(v)=v^2^k-1.<br />We show that when n is even these codes are principal and if n is odd these code<br />Look like a module and proof some properties.