2021-10-20T22:44:50Z https://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=3391
2016-06-01 10.22130
Sahand Communications in Mathematical Analysis SCMA 2322-5807 2322-5807 2016 03 2 The analysis of a disease-free equilibrium of Hepatitis B model Reza Akbari Ali Vahidian Kamyad Ali akbar Heydari Aghileh Heydari In this paper we study the dynamics of Hepatitis B virus (HBV) infection under administration of a vaccine and treatment, where the disease is transmitted directly from the parents to the offspring  and also through contact with infective individuals. Stability of the disease-free steady state is investigated. The basic reproductive rate, $R_0$, is derived. The results show that the dynamics of the model is completely determined by the basic reproductive number $R_0$. If $R_0<1$, the disease-free equilibrium is globally stable and the disease always dies out and if $R_0>1$, the disease-free equilibrium is unstable and the disease is uniformly persistent. Hepatitis B virus (HBV) Basic reproduction number ($R_0$) Compound matrices Disease-Free equilibrium state Global stability 2016 06 01 1 11 https://scma.maragheh.ac.ir/article_19749_d6277da45d18a2b9e2617791b8dbcc92.pdf
2016-06-01 10.22130
Sahand Communications in Mathematical Analysis SCMA 2322-5807 2322-5807 2016 03 2 Growth analysis of entire functions of two complex variables Sanjib Kumar Datta Tanmay Biswas In this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. Hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables. Entire functions Generalized relative order Generalized relative lower order Two complex variables Composition growth 2016 06 01 13 24 https://scma.maragheh.ac.ir/article_19750_9a173f57343ef9c61aa8f0ee7cdf9b6d.pdf
2016-06-01 10.22130
Sahand Communications in Mathematical Analysis SCMA 2322-5807 2322-5807 2016 03 2 Menger probabilistic normed space is a category topological vector space Ildar Sadeqi Farnaz Yaqub Azari In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces in probabilistic normed spaces. Category of probabilistic normed space Category of topological vector space Fuzzy continuous operator 2016 06 01 25 32 https://scma.maragheh.ac.ir/article_19784_ea968e7794474539e5edcca66c4af05b.pdf
2016-06-01 10.22130
Sahand Communications in Mathematical Analysis SCMA 2322-5807 2322-5807 2016 03 2 On certain fractional calculus operators involving generalized Mittag-Leffler function Dinesh Kumar The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj . The considered generalized fractional calculus operators contain the Appell's function $F_3$ [2, p.224] as kernel and are introduced by Saigo and Maeda . The Marichev-Saigo-Maeda fractional calculus operators are the generalization of the Saigo fractional calculus operators. The established results provide extensions of the results given by Gupta and Parihar , Saxena and Saigo , Samko et al. . On account of the general nature of the generalized Mittag-Leffler function and generalized Wright function, a number of known results can be easily found as special cases of our main results. Marichev-Saigo-Maeda fractional calculus operators Generalized Mittag-Leffler function Generalized Wright hypergeometric function 2016 06 01 33 45 https://scma.maragheh.ac.ir/article_19751_f8cba31ae3575443d6bc568443f37036.pdf
2016-06-01 10.22130
Sahand Communications in Mathematical Analysis SCMA 2322-5807 2322-5807 2016 03 2 ‎Multistep collocation method for nonlinear delay integral equations Parviz Darania ‎The main purpose of this paper is to study the numerical solution of nonlinear Volterra integral equations with constant delays, based on the multistep collocation method. These methods for approximating the solution in each subinterval are obtained by fixed number of previous steps and fixed number of collocation points in current and next subintervals. Also, we analyze the convergence of the multistep collocation method when used to approximate smooth solutions of delay integral equations. Finally, numerical results are given showing a marked improvement in comparison with exact solution. Delay integral equations Collocation method Multistep collocation method Convergence 2016 06 01 47 65 https://scma.maragheh.ac.ir/article_19832_4aa04e21bad2368df51e6e1a4c4fdbda.pdf
2016-06-01 10.22130
Sahand Communications in Mathematical Analysis SCMA 2322-5807 2322-5807 2016 03 2 On the topological centers of module actions Kazem Haghnejad Azar In this paper, we  study the Arens regularity properties of module actions. We investigate some properties of topological centers of module actions ${Z}^\ell_{B^{**}}(A^{**})$ and  ${Z}^\ell_{A^{**}}(B^{**})$ with some conclusions in group algebras. Arens regularity Topological centers Module actions 2016 06 01 67 74 https://scma.maragheh.ac.ir/article_19748_3fb8c456b2e4d1f04f48b4146fde0d2d.pdf
2016-06-01 10.22130
Sahand Communications in Mathematical Analysis SCMA 2322-5807 2322-5807 2016 03 2 Inverse Sturm-Liouville problems with a Spectral Parameter in the Boundary and transmission conditions Mohammad Shahriari In this manuscript, we study the inverse problem for non self-adjoint Sturm--Liouville operator $-D^2+q$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. By defining  a new Hilbert space and  using its spectral data of a kind, it is shown that the potential function can be uniquely determined by part of a set of values of eigenfunctions at some interior point and  parts of two  sets of eigenvalues. Inverse Sturm-Liouville problem Jump conditions Non self-adjoint operator Parameter dependent condition 2016 06 01 75 89 https://scma.maragheh.ac.ir/article_17973_6df44ee2ee8037955d17cb29c9f1d581.pdf
2016-06-01 10.22130
Sahand Communications in Mathematical Analysis SCMA 2322-5807 2322-5807 2016 03 2 On multiplicative (strong) linear preservers of majorizations Mohammad Ali Hadian Nadoshan Ali Armandnejad ‎In this paper, we study some kinds of majorizations on $\textbf{M}_{n}$ and their linear or strong linear preservers. Also, we find the structure of linear or strong linear preservers which are multiplicative, i.e.  linear or strong linear preservers like $\Phi$ with the property $\Phi (AB)=\Phi (A)\Phi (B)$ for every $A,B\in \textbf{M}_{n}$. Doubly stochastic matrix Linear preserver Multiplicative map 2016 06 01 91 106 https://scma.maragheh.ac.ir/article_18507_6efe0e20f27345279deaf253dedbf98a.pdf
2016-06-01 10.22130
Sahand Communications in Mathematical Analysis SCMA 2322-5807 2322-5807 2016 03 2 On $n$-derivations Mohammad Hossein Sattari In this article, the notion of $n-$derivation is introduced for all integers $n\geq 2$. Although all derivations are $n-$derivations,  in general these notions are not equivalent. Some properties of ordinary derivations are  investigated for $n-$derivations. Also, we show that under certain mild condition  $n-$derivations are derivations. $n$-derivation $n$-homomorphism Banach algebra 2016 06 01 107 115 https://scma.maragheh.ac.ir/article_19780_83b63b675701b909f6b32e3f6bb7c3aa.pdf