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Spherical fuzzy and soft topology: some applications 球面模糊和软拓扑:一些应用
IF 2.5 Q1 MATHEMATICS Pub Date : 2023-08-18 DOI: 10.22436/jmcs.032.02.05
A. Azzam
A generalized soft set model that is more accurate, useful, and realistic is the spherical fuzzy soft set. So, the fuzzy soft topological models in use can be extended to create spherical fuzzy soft topological spaces, which are valuable for expressing unreliable data in real-world applications. Subbase, separation axioms, compactness, and connectedness are all defined in this work. To examine these notions’ features, we also investigate their forefathers. The application of a decision-making algorithm is then demonstrated, and a numerical example is used to describe how it can be used.
球形模糊软集是一种更为准确、实用和真实的广义软集模型。因此,可以将现有的模糊软拓扑模型扩展为球形模糊软拓扑空间,从而在实际应用中表达不可靠数据。子基、分离公理、紧性和连通性都在此工作中被定义。为了考察这些概念的特征,我们还考察了它们的起源。然后演示了决策算法的应用,并通过一个数值例子说明了如何使用决策算法。
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引用次数: 0
A computational technique for computing second-type mixed integral equations with singular kernels 具有奇异核的第二类混合积分方程的计算技术
IF 2.5 Q1 MATHEMATICS Pub Date : 2023-08-18 DOI: 10.22436/jmcs.032.02.04
A. Mahdy, M. A. Abdou, D. S. Mohamed
In the present article, we establish the numerical solution for the mixed Volterra-Fredholm integral equation (MV-FIE) in (1+1) dimensional in the Banach space L 2 [− 1,1 ] × C [ 0, T ] , T < 1. The Fredholm integral term is considered in the space L 2 [− 1,1 ] and it has a discontinuous kernel in position. While the Volterra integral term is considered in the class of time C [ 0, T ] , T < 1, and has a continuous kernel in time. The necessary conditions have been established to ensure that there is a single solution in the space L 2 [− 1,1 ] × C [ 0, T ] , T < 1. By utilizing the separation of variables technique, MV-FIE is transformed to Fredholm integral equation (FIE) of the second kind with variables coefficients in time. The separation technique of variables helps the authors choose the appropriate time function to establish the conditions of convergence in solving the problem and obtaining its solution. Then, using the Boubaker polynomials method, we end up with a linear algebraic system (LAS) abbreviated. The Banach fixed point (BFP) hypothesis has been presented to determine the existence and uniqueness of the solution of the LAS. The convergence of the solution and the stability of the error are discussed. The Maple 18 software is used to perform some numerical calculations once some numerical experiments have been taken into consideration.
本文在Banach空间L2[−1,1]×C[0,T],T<1中建立了(1+1)维混合Volterra-Fredholm积分方程(MV-FIE)的数值解。Fredholm积分项在空间L2[−1,1]中被考虑,并且它在位置上具有不连续的核。当Volterra积分项被考虑在时间C[0],T]的类中时,T<1,并且在时间上具有连续核。建立了空间L2[−1,1]×C[0],T],T<1中存在单一解的必要条件。利用变量分离技术,将MV-FIE转化为具有时间变量系数的第二类Fredholm积分方程。变量分离技术有助于作者选择合适的时间函数,以建立求解问题并获得其解的收敛条件。然后,使用Boubaker多项式方法,我们得到了一个简化的线性代数系统(LAS)。提出了Banach不动点(BFP)假设来确定LAS解的存在性和唯一性。讨论了解的收敛性和误差的稳定性。Maple 18软件用于在考虑了一些数值实验后进行一些数值计算。
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引用次数: 1
A generalized fractional HIV-1 infection model with humoral immunity and highly active antiretroviral therapy 具有体液免疫和高活性抗逆转录病毒治疗的广义分数型HIV-1感染模型
IF 2.5 Q1 MATHEMATICS Pub Date : 2023-08-18 DOI: 10.22436/jmcs.032.02.06
Z. Hajhouji, K. Hattaf, N. Yousfi
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引用次数: 0
Resonant fractional order differential equation with two-dimensional kernel on the half-line 半线上具有二维核的谐振分数阶微分方程
IF 2.5 Q1 MATHEMATICS Pub Date : 2023-08-01 DOI: 10.22436/jmcs.032.02.03
E. K. Ojo, S. A. Iyase, T. Anake
This paper derives existence results for a resonant fractional order differential equation with two-dimensional kernel on the half-line using coincidence degree theory. Fractional calculus of Riemann-Liouville type is adopted in the study. The results obtained are illustrated with an example.
利用重合度理论,导出了半线上二维核共振分数阶微分方程的存在性。本研究采用Riemann-Liouville型分数阶微积分。最后用实例说明了所得结果。
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引用次数: 0
A proposed sixth order inverse polynomial method for the solution of non-linear physical models 一种求解非线性物理模型的六阶逆多项式方法
IF 2.5 Q1 MATHEMATICS Pub Date : 2023-08-01 DOI: 10.22436/jmcs.032.02.01
S. E. Fadugba, I. Ibrahim, O. Adeyeye, A. Adeniji, M. Kekana, Joseph Temitayo Okunlola
There are several nonlinear physical models emanated from science and technology that have always remained a challenge for numerical analysts and applied mathematicians. Various one-step numerical methods were developed to deal with these models, however, it requires the developed method to have consistency, stability, zero stability and convergence characteristics to handle the non-linearity in the model. This paper proposes a new sixth order inverse polynomial method (SOIPM) with a relative measure of stability for the solution of non-linear physical models with different flavors. Firstly, the properties of SOIPM are analyzed and investigated. Moreover, three illustrative non-linear physical models have been solved to measure the accuracy, computational performance, suitability and effectiveness of SOIPM. Furthermore, the results generated via SOIPM are compared with the existing method of the celebrated Runge-Kutta of order four (RK4) in the context of the exact value (EV). Finally, the absolute errors (ABEs) and final absolute errors (FABEs) incurred by SOIPM are computed and compared with that of RK4.
科学技术产生的几种非线性物理模型一直是数值分析师和应用数学家面临的挑战。开发了各种一步数值方法来处理这些模型,然而,需要开发的方法具有一致性、稳定性、零稳定性和收敛性来处理模型中的非线性。本文提出了一种新的六阶逆多项式方法(SOPM),该方法具有相对稳定性的度量,用于求解具有不同频率的非线性物理模型。首先,对SOIPM的性能进行了分析和研究。此外,还求解了三个说明性的非线性物理模型来衡量SOIPM的准确性、计算性能、适用性和有效性。此外,在精确值(EV)的背景下,将通过SOPM生成的结果与著名的四阶龙格库塔(RK4)的现有方法进行比较。最后,计算了SOIMP产生的绝对误差(ABE)和最终绝对误差(FABEs),并与RK4进行了比较。
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引用次数: 1
Infinitely many high energy solutions for fourth-order elliptic equations with p-Laplacian in bounded domain 带p-拉普拉斯算子的四阶椭圆方程在有界域上的无穷多高能解
IF 2.5 Q1 MATHEMATICS Pub Date : 2023-08-01 DOI: 10.22436/jmcs.032.02.02
Y. Chahma, H. Chen
In this paper, we study the following fourth-order elliptic equation with p-Laplacian, steep potential well and sublinear perturbation:
本文研究了具有p-Laplacian、陡势阱和次线性微扰的四阶椭圆型方程:
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引用次数: 3
Construction of a regularized asymptotic solution of an integro-differential equation with a rapidly oscillating cosine 具有快速振荡余弦的积分微分方程正则化渐近解的构造
IF 2.5 Q1 MATHEMATICS Pub Date : 2023-07-21 DOI: 10.22436/jmcs.032.01.07
A. Bobodzhanov, B. Kalimbetov, N. Pardaeva
In this paper, we consider a singularly perturbed integro-differential equation with a rapidly oscillating right-hand side, which includes an integral operator with a slowly varying kernel. Earlier, singularly perturbed differential and integro-differential equations with rapidly oscillating coefficients were considered. The main goal of this work is to generalize the Lomov's regularization method and to identify the rapidly oscillating right-hand side to the asymptotics of the solution to the original problem.
在本文中,我们考虑了一个具有快速振荡右手边的奇摄动积分微分方程,该方程包括一个具有慢变核的积分算子。早先,考虑了具有快速振荡系数的奇摄动微分方程和积分微分方程。这项工作的主要目标是推广Lomov正则化方法,并识别原始问题解的渐近性的快速振荡右手边。
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引用次数: 0
Numerical solution of fractional order SIR model of dengue fever disease via Laplace optimized decomposition method 基于拉普拉斯优化分解方法的登革热分数阶SIR模型数值解
IF 2.5 Q1 MATHEMATICS Pub Date : 2023-07-21 DOI: 10.22436/jmcs.032.01.08
B. Maayah, S. Bushnaq, A. Moussaoui
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引用次数: 0
New results on soft generalized topological spaces 关于软广义拓扑空间的新结果
IF 2.5 Q1 MATHEMATICS Pub Date : 2023-07-11 DOI: 10.22436/jmcs.032.01.04
J. Al-Mufarrij, S. Saleh
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引用次数: 0
Further properties of soft somewhere dense continuous functions and soft Baire spaces 软某处稠密连续函数和软Baire空间的进一步性质
IF 2.5 Q1 MATHEMATICS Pub Date : 2023-07-11 DOI: 10.22436/jmcs.032.01.05
Z. Ameen, R. Abu-Gdairi, T. Al-shami, Baravan A. Asaad, M. Arar
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引用次数: 4
期刊
Journal of Mathematics and Computer Science-JMCS
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