Mathematics Interdisciplinary Research
مرور بر اساس
مجموعههای این پایگاه
ارسال های اخیر
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$nX$-Complementary Generations of the Chevalley Group $G_{2}(3)$
(University of Kashan, 2024-12-01)A finite non-abelian group $G$ is said to be $(l,m,n)$-generated if it can be generated by two elements $x$ and $y$ such that $o(x)=l$, $o(y)=m$ and $o(xy)=n$. Also, $G$ is said to be $nX$-complementary generated ...
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Solving Linear and Nonlinear Duffing Fractional Differential Equations Using Cubic Hermite Spline Functions
(University of Kashan, 2024-12-01)In this work, we solve nonlinear Duffing fractional differential equations with integral boundary conditions in the Caputo fractional order derivative sense. First, we introduce the cubic Hermite spline functions ...
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Genetic Algorithm for Finding the Global Forcing Number of Bipartite Graphs
(University of Kashan, 2024-12-01)Consider a graph $G=(V(G),E(G))$, where a perfect matching in $G$ is defined as a subset of independent edges with $\frac{|V(G)|}{2}$ elements. A global forcing set is a subset $S$ of $E$ such that no two disjoint ...
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Flexible Parsimonious Mixture of Skew Factor Analysis Based on Normal Mean--Variance Birnbaum-Saunders
(University of Kashan, 2024-12-01)The purpose of this paper is to extend the mixture factor analyzers (MFA) model \CG{to handle} missing and heavy-\CG{tailed} data. In this model, the distribution of factors loading and errors arise from the multivariate ...
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Reformulated Zagreb Indices of Trees
(University of Kashan, 2024-12-01)Zagreb indices were reformulated in terms of the edge degrees instead of the vertex degrees. For a graph $G$, the first and second reformulated Zagreb indices are defined respectively as:$$EM_1(G)=\sum_{\varepsilon\in ...
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A Simple Proof for the Being Eulerian of the Power Graphs $ P_{i}(D)$ for 3 ≤ i ≤ 6
(University of Kashan, 2024-09-01)In this article, we employ a novel and unique method to analyze the Eulerian nature of the power graphs $ P_{i}(D) $ for 3 ⩽ i ⩽ 6. Then, we will mention some applications of Eulerian power graphs in computer networks.
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Application of the Hybridized Discontinuous Galerkin Method for Solving One-Dimensional Coupled Burgers Equations
(University of Kashan, 2024-12-01)This paper is devoted to proposing hybridized discontinuous Galerkin (HDG) approximations for solving a system of coupled Burgers equations (CBE) in a closed interval. The noncomplete discretized HDG method is designed ...
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Timeline and Wavelets Method for Pricing Cash-or-Nothing Options
(University of Kashan, 2024-09-01)This study investigates the application of the Haar wavelet method as an innovative and effective approach for valuing financial derivatives, particularly cash-or-nothing options. Valuing derivatives is a complex task ...
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Simultaneous Location of k Portable Emergency Service Centers and Reconstruction of a Damaged Network
(University of Kashan, 2024-09-01)This paper addresses the problem of optimizing the reconstruction of links in a network in the aftermath of natural disasters or human errors, such as landslides, floods, storms, earthquakes, bombing, war, ...
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Randi´c Matrix and Randi´c Energy of Uniform Hypergraphs
(University of Kashan, 2024-09-01)The Randi´c matrix $R=[r_{ij}]$ of a graph $ G=(V,E) $ was defined as $r_{ij}=\frac{1}{\sqrt{d_id_j}}$ if vertices $v_i$ and $v_j$ are adjacent and $r_{ij}=0$ otherwise, where $d_i$ is the degree of the vertex $v_i\in ...
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Exploring the Algebraic Properties of Gyrosemigroups and a Characterization of Gyrosemigroups of Order 2
(University of Kashan, 2024-09-01)A significant development in the field of gyrogroups was the introduction of the space of all relativistically admissible velocities, which brought gyrogroups into the mainstream. A group has various generalizations, ...
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Modified Step Size for Enhanced Stochastic Gradient Descent: Convergence and Experiments
(University of Kashan, 2024-09-01)This paper introduces a novel approach to enhance the performance of the stochastic gradient descent (SGD) algorithm by incorporating a modified decay step size based on $\frac{1}{\sqrt{t}}$. The proposed step size ...
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Existence Solution for a Non-smooth System
(University of Kashan, 2025-03-01)A variational method for a mixed boundary value problem in mathematical physics is considered. Using two-field Lagrange multipliers, we would investigate a variational formulation containing a mixed variational problem ...
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Proposal of a New Isogeny-Based Cryptographic Protocol: Formal Analysis and Comparison
(University of Kashan, 2025-03-01)This paper proposes a novel isogeny-based cryptographic protocol that leverages the dual hardness of the isogeny problem and linear code decoding for secure post-quantum key exchange. The proposed protocol, Isogeny-Based ...
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Control and Synchronization of a Chaotic Memristor System Based on Graphical Approach
(University of Kashan, 2025-03-01)In this article, we analyze a four-dimensional chaotic system, focusing on bifurcation and the Lyapunov exponent as key characteristics under new parameter settings. Our main goal is to control the system using a ...
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Algorithms for Finding Specific Elements in Algebraic Hyperstructures with One Hyperoperation
(University of Kashan, 2025-03-01)In this paper, first, we show how to define an algebraic hyperstructure by using algorithms. Then, we present algorithms that calculate specific elements in algebraic hyperstructures. These specific elements ...
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Collocation Method Based on Rational Gegenbauer Functions for Solving the Two Dimensional Stagnation Point Flow
(University of Kashan, 2025-03-01)This work applies rational Gegenbauer functions and a collocation scheme to solve the governing equation for two-dimensional fluid flow near a stagnation point, known as Hiemenz flow. We utilize a truncated series ...
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Pantograph System with Mixed Riemann-Liouville and Caputo-Hadamard Sequential~ Fractional Derivatives: Existence and Ulam-Stability
(University of Kashan, 2025-03-01)The pantograph equation improves the mathematical model of the system includes modeling the motion of the wire connected with the dynamics of the supports and modeling the dynamics of the pantograph. The subject of this ...
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Solving Graph Coloring Problem Using Graph Adjacency Matrix Algorithm
(University of Kashan, 2024-06-01)Graph coloring is the assignment of one color to each vertex of a graph so that two adjacent vertices are not of the same color. The graph coloring problem (GCP) is a matter of combinatorial optimization, and the goal ...
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Fractional Dynamics of Infectious Disease Transmission with Optimal Control
(University of Kashan, 2024-06-01)This article investigates and studies the dynamics of infectious disease transmission using a fractional mathematical model based on Caputo fractional derivatives. Consequently, the population studied has been divided ...
