Caspian Journal of Mathematical Sciences (CJMS)
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ارسال های اخیر
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A-Roberts orthogonality in C*-algebras and its characterization via a-numerical ranges
(University of Mazandaranدانشگاه مازندران, 2025-06-01)Let $ \mathcal{A} $ be a unital $ C^{*} $-algebra with unit $1_{\mathcal{A}}$ and let $ a\in\mathcal{A} $ be a positive and invertible element. Set \[ \mathcal{S}_a (\mathcal{A})=\{ \dfrac{f}{f(a)} \, : \, f \in ...
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Spectral approximation of bounded linear operators on ultrametric Banach spaces
(University of Mazandaranدانشگاه مازندران, 2025-06-01)In this paper, we introduce and study the concepts of stable convergence and square-norm convergence of bounded linear operators on ultrametric Banach spaces. We establish a results on convergence and error estimates of ...
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Solving Inverse Optimization Problems in Linear Programming: A Geometric and Algorithmic Approach
(University of Mazandaranدانشگاه مازندران, 2025-06-01)This paper addresses the inverse optimization problem for linear programming, focusing on determining a cost vector that ensures a pre-specified solution is optimal. Two approaches are presented: (i) using the Karush-Kuhn-Tucker ...
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Superconvergence and linear stability of multistep collocation method applied to Volterra integral equations with delay function θ(t)
(University of Mazandaranدانشگاه مازندران, 2025-06-01)The main purpose of this paper is to propose the superconvergence and linear stability analysis of multistep collocation method which depend on r fixed number ofprevious time steps and m collocation points to solve the ...
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Solving nonlinear partial differential equations of fractional order using an analytical method
(University of Mazandaranدانشگاه مازندران, 2025-06-01)In this article, we use an analytical method based on the solutions of the Riccati equation to solve nonlinear partial differential equations of fractional order. In this method, we first convert the fractional partial ...
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Radical formula for L-submodules
(University of Mazandaranدانشگاه مازندران, 2025-06-01)Let R be a commutative ring with non-zero identity and M be a unitary R-module. In this paper, we introduce the concepts of radical and E-radical (envelope) of L-submodules and investigate their properties. Additionally, ...
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Fractional Beta Sturm-Liouville Equation
(University of Mazandaranدانشگاه مازندران, 2025-06-01)In this study, beta-derived Sturm–Liouville problems are discussed. First, the existence and uniqueness problem for such equations is discussed. Then, self-adjointness is obtained with the help of boundary conditions. ...
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Szeged and vertex PI Index of Graphs over Modules
(University of Mazandaranدانشگاه مازندران, 2024-12-01)If we have a commutative ring $R$ and it is identified as $1\neq 0$ there is an $R$-module $M$, $G_R(M)$ will denote the Scalar product graph of $M$. Vertices of $G_R(M)$ are elements of $M$, and $a$, $b$ in $M$ ...
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On the Fourier analysis of quasi-inner product C*-module-valued functions on LCA groups
(University of Mazandaranدانشگاه مازندران, 2024-12-01)Given a locally compact abelian group G and a quasi-inner product A-module (M, $\phi$) with $\phi$ a positive sesquilinear map on M, we introduce the Fourier transform for the Bochner integrable M-valued functions on G and ...
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A relation between Zernike polynomials and other orthogonal polynomials: A review
(University of Mazandaranدانشگاه مازندران, 2024-12-01)Zernike circle polynomials use for wavefront analysis because of their orthogonality over a circular.So far, different representations have been presented for these polynomials. In this paper,we introduce Zernike ...
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Stability and boundedness for a certain second order integro-differential equation
(University of Mazandaranدانشگاه مازندران, 2024-12-01)In theory applications of second order integro-differential equations, it is crucial to investigate qualitative features of solutions such as stability, boundedness, and etc. There is an extensive literature regarding these ...
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Chemical applications of some new versions of Sombor index
(University of Mazandaranدانشگاه مازندران, 2024-12-01)Topological indices of graphs are numerical descriptors that determine the relationship between the properties of molecules and their structures. In this paper, we introduce three novel vertex degree-based topological ...
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A Population biological model with a singular nonlinearity and Caffarelli-Kohn-Nirenberg exponents
(University of Mazandaranدانشگاه مازندران, 2024-12-01)We consider the existence of positive solutions of singular nonlinear semipositone problem of the form \[\left\{\begin{array}{ll} -div(|x|^{-\alpha p}|\nabla u|^{p-2}\nabla u)=|x|^{-(\alpha+1)p+\beta}(au^{p-1}-bu^{r}-f(u ...
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Strongly (σ, τ )-e-Reversible Rings
(University of Mazandaranدانشگاه مازندران, 2024-12-01)In this paper, we introduce the definition of (σ, τ ) − e-reversible ring. Precisely, take R is a e-reversible ring such that σ and τ are automorphism mappings of R, we named R is (σ, τ ) − e-reversible ring if σ(x)τ (y) ...
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Finite difference and local discontinuous Galerkin methods for fourth-order time-fractional partial integro-differential equation: Computational approach for one-dimensional case
(University of Mazandaranدانشگاه مازندران, 2024-12-01)Our focus in this paper is on numerically solving fourthorder time-fractional integro-di erential equations with weakly singular kernels. L1 and quadrature formulas are used to discretize the temporal and memory terms. ...
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Initial Lucas polynomial coefficient bounds for bi-Bazilevi\v{c} functions
(University of Mazandaranدانشگاه مازندران, 2024-12-01)Our current investigation is primarily motivated by the application of special polynomials in Geometric Function Theory (GFT). This paper aims to utilize (M,N)-Lucas polynomials to estimate the initial coefficient bounds ...
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Topological action of a discrete semi-group
(University of Mazandaranدانشگاه مازندران, 2024-12-01)Given a discrete semi-group $S$, we define a topological action $\theta$ of S on a locally compact space $X$. Additionally, there is an action α of $S$ on the $C^∗$-algebra $C0(X)$, which is introduced in relation to $θ$. ...
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A note on invariant submanifolds of hyperbolic Sasakian manifolds
(University of Mazandaranدانشگاه مازندران, 2024-12-01)The object of this article is to investigate some geometric conditions for an invariant submanifold of a hyperbolic Sasakian manifold. Additionally, we take into account a generalized quasiconformal curvature tensor on an ...
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Forecasting long-term trends of the COVID-19 outbreak in Yazd with an SVIR model
(University of Mazandaranدانشگاه مازندران, 2024-12-01)This article examines the transmission of COVID-19 from a mathematical model perspective, analyzing its spread pattern. Given the virus's adherence to standard epidemic disease transmission principles and the effectiveness ...
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Rainfall forecast of Kashan in Iran using time series models
(University of Mazandaranدانشگاه مازندران, 2024-12-01)The most important part of the hydrological cycle is precipitation. The study aimed to forecast rainfall with a time series model. Many studies have been done, but we want to predict annual rainfall in Kashan. Annual ...
