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Generalized Hyers-Ulam stability of a bi-quadratic mapping in non-Archimedean spaces 非阿基米德空间中双二次映射的广义Hyers-Ulam稳定性
IF 2.5 Q1 Mathematics Pub Date : 2023-05-19 DOI: 10.22436/jmcs.031.04.04
R. Kalaichelvan, U. Jayaraman, P. S. Arumugam
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引用次数: 1
Three new concepts of Pythagorean fuzzy soft UP (BCC)-filters 勾股模糊软UP(BCC)滤波器的三个新概念
IF 2.5 Q1 Mathematics Pub Date : 2023-05-16 DOI: 10.22436/jmcs.031.03.07
A. Satirad, R. Prasertpong, P. Julatha, R. Chinram, P. Singavananda, Aiyared Iampan
This paper seeks to introduce novel concepts on Pythagorean fuzzy soft sets (PFSSs) over UP (BCC)-algebras. Then, we give three different types of PFSSs over UP (BCC)-algebras and look into their generalization. We also find the results of four operations over UP (BCC)-algebras performed on two PFSSs: union, restricted union, intersection, and extended intersection. We also discuss π -level subsets of PFSSs over UP (BCC)-algebras as a final step in our inquiry into the relationships between special subsets of UP (BCC)-algebras and PFSSs.
本文试图引入UP(BCC)-代数上勾股模糊软集的新概念。然后,我们给出了UP(BCC)-代数上三种不同类型的PFSS,并研究了它们的推广。我们还得到了在UP(BCC)-代数上对两个PFSS进行的四个运算的结果:并集、限制并集、交集和扩展交集。我们还讨论了UP(BCC)-代数上PFSS的π级子集,作为我们研究UP(BCC)-代数的特殊子集和PFSS之间关系的最后一步。
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引用次数: 0
Some results on coupled coincidence points in vector quasi cone metric spaces over Banach algebras with satisfactory cones 具有满意锥的Banach代数上向量拟锥度量空间中耦合重合点的一些结果
IF 2.5 Q1 Mathematics Pub Date : 2023-05-16 DOI: 10.22436/jmcs.031.03.06
Sahar Mohamed, Ali Abou Bakr, H. K. Hussein
Let ( X , C , D C , χ ) be a complete parametric vector quasi cone metric space over a Banach algebra A , C be a cone in A that contains some semi-interior points, χ be a metric parameter in C with a spectral radius σ ( χ ) (cid:62) 1, and T : X × X → X be a generalized contraction mapping where its parametric contractions are vectors in C , with these settings and without relying on the assumptions of normality and solidness of C , we prove the existence of coupled coincidence points of the mapping T and hence generalize many theorems concerned with the existence of coupled coincidence points of such types and we support these results with some illustrative examples.
设(X,C,D C,χ)是Banach代数a上的完备参数向量拟锥度量空间,C是a中包含一些半内点的锥,χ是C中具有谱半径σ(χ)(cid:62)1的度量参数,并且T:X×X→ X是广义收缩映射,其中其参数收缩是C中的向量,具有这些设置并且不依赖于C的正态性和实性的假设,我们证明了映射T的耦合重合点的存在性,从而推广了许多关于这类耦合重合点存在性的定理,并用一些例证支持了这些结果。
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引用次数: 1
Mathematical model of a SCIR epidemic system with migration and nonlinear incidence function 具有迁移和非线性关联函数的SCIR流行病系统的数学模型
IF 2.5 Q1 Mathematics Pub Date : 2023-05-16 DOI: 10.22436/jmcs.031.04.01
M. C. Gómez, E. I. Mondragón, F. Rubio
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引用次数: 1
Numerical solutions of the space-time fractional diffusion equation via a gradient-descent iterative procedure 时空分数阶扩散方程的梯度下降迭代解法
IF 2.5 Q1 Mathematics Pub Date : 2023-05-16 DOI: 10.22436/jmcs.031.04.02
K. Tansri, A. Kittisopaporn, P. Chansangiam
A one-dimensional space-time fractional diffusion equation describes anomalous diffusion on fractals in one dimension. In this paper, this equation is discretized by finite difference schemes based on the Gr¨unwald-Letnikov approximation for Riemann-Liouville and Caputo’s fractional derivatives. It turns out that the discretized equations can be put into a compact form, i.e., a linear system with a block lower-triangular coefficient matrix. To solve the linear system, we formulate a matrix iterative algorithm based on gradient-descent technique. In particular, we work out for the space fractional diffusion equation. Theoretically, the proposed solver is always applicable with satisfactory convergence rate and error estimates. Simulations are presented numerically and graphically to illustrate the accuracy, the efficiency, and the performance of the algorithm, compared to other iterative procedures for linear systems.
一维时空分数扩散方程描述一维分形上的异常扩散。在本文中,基于Riemann-Liouville和Caputo分数导数的Gr¨unwald-Letnikov近似,用有限差分格式离散了该方程。结果表明,离散化的方程可以被简化为紧致形式,即具有块下三角系数矩阵的线性系统。为了求解线性系统,我们提出了一种基于梯度下降技术的矩阵迭代算法。特别地,我们计算了空间分数阶扩散方程。理论上,所提出的求解器总是适用的,具有令人满意的收敛速度和误差估计。与线性系统的其他迭代程序相比,通过数值和图形模拟来说明该算法的准确性、效率和性能。
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引用次数: 0
On the computational and numerical approaches for the powers of the doubly Lefkovitch matrix by linear difference equations 用线性差分方程求双重lefkovich矩阵幂的计算和数值方法
IF 2.5 Q1 Mathematics Pub Date : 2023-05-16 DOI: 10.22436/jmcs.031.03.05
A. Aloui, M. Rachidi
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引用次数: 0
Intutionstic fuzzy permeable values and energetic subsets with applications in Hilbert algebras 直觉模糊可渗透值和能量子集及其在Hilbert代数中的应用
IF 2.5 Q1 Mathematics Pub Date : 2023-05-16 DOI: 10.22436/jmcs.031.03.08
J. Princivishvamalar, N. Rajesh, M. Vanishree
In this paper, the concept of permeable values and energetic sets are introduced and studied in intutionstic fuzzy Hilbert algebras. Some properties and relevant examples are given. Moreover, the relations between intutionstic fuzzy level sets and energetic subsets are also discussed.
本文在直觉模糊Hilbert代数中引入并研究了可渗透值和能量集的概念。给出了一些性质和相关的例子。此外,还讨论了直觉模糊水平集与能量子集之间的关系。
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引用次数: 0
Generalized π -weak closed sets and some applications on weak structures 广义π-弱闭集及其在弱结构上的一些应用
IF 2.5 Q1 Mathematics Pub Date : 2023-05-12 DOI: 10.22436/jmcs.031.03.02
R. A. Hosny, T. Al-shami, R. Abu-Gdairi, A. Mhemdi
This article highlights the concept of generalized π -weak closed sets (briefly, gπ ( w ) -closed) in weak structures, that possess a lot of applications in information systems. We study their master properties and show the interrelationships between them and some types of sets with the help of counterexamples. Then, we applied gπ ( w ) -closed sets to define new types of the concepts of separation axioms, continuous functions, closed w -graph and strongly closed w -graph. We give some characterizations of these concepts and discuss main features. Moreover, we provide some examples to show some topological properties of these concepts that are losing in the frame of weak structures
这篇文章强调了弱结构中广义π-弱闭集(briefly,gπ(w)-闭)的概念,它在信息系统中有很多应用。我们研究了它们的主性质,并借助反例展示了它们与某些类型集合之间的相互关系。然后,我们应用gπ(w)-闭集定义了分离公理、连续函数、闭w图和强闭w图的新概念。我们给出了这些概念的一些特征,并讨论了它们的主要特征。此外,我们还提供了一些例子来证明这些概念在弱结构框架中丢失的一些拓扑性质
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引用次数: 0
Spline collocation methods for solving some types of nonlinear parabolic partial differential equations 样条配点法求解一类非线性抛物型偏微分方程
IF 2.5 Q1 Mathematics Pub Date : 2023-05-12 DOI: 10.22436/jmcs.031.03.03
B. A. Mahmood, S. A. Tahir, K. Jwamer
In this work, some types of nonlinear parabolic partial differential equations have been studied by means of the collocation method with cubic B-splines, without transformation or linearization. Here, the convergence analysis of the current scheme is also theoretically investigated. A few numerical examples are given to illustrate the viability and effectiveness of the proposed technique. The error norms l 2 and l ∞ are used to assess the accuracy of the current method. In this respect, the proposed method, keeping the real features of such problems, is able to save the behavior of nonlinear terms without facing any conventional drawbacks. Furthermore, it is mathematically shown and numerically seen that there is a good agreement between the approximation and the exact solutions. The current approach reduces the cost of calculation as well as the need for storage space at various parameters.
本文用三次b样条配点法研究了一类非线性抛物型偏微分方程,不需要进行变换和线性化。本文还对现有方案的收敛性进行了理论分析。算例说明了该方法的可行性和有效性。用误差范数l 2和l∞来评价当前方法的精度。在这方面,所提出的方法既保留了这类问题的真实特征,又省去了非线性项的行为,而不存在传统方法的缺点。此外,从数学和数值上可以看出,近似解和精确解之间有很好的一致性。目前的方法降低了计算成本以及在各种参数下对存储空间的需求。
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引用次数: 1
Quantum Lp-spaces and inequalities of Hardy's type 量子lp空间与哈代型不等式
IF 2.5 Q1 Mathematics Pub Date : 2023-05-12 DOI: 10.22436/jmcs.031.03.04
A. Hamza, M. A. Alghamdi, S. A. Alasmi
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引用次数: 0
期刊
Journal of Mathematics and Computer Science-JMCS
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