求解模糊分数积分微分方程的一种改进的再生核Hilbert空间方法

IF 0.4 Q4 MATHEMATICS

Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI:10.5269/bspm.52289

S. Hasan, B. Maayah, Samia Bushnaq, S. Momani

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引用次数: 2

摘要

本文的目的是推广再生核希尔伯特空间方法（RKHSM）在Caputo的H-可微性下求解分数阶线性和非线性模糊积分微分方程的应用。在空间$W_2^2[a，b]\bigoplus W_2^2[a，b]$中，根据其参数形式给出了解析解和近似解的级数形式。通过几个例子说明了该方法的有效性和不复杂度

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A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations

The aim of this paper is to extend the application of the reproducing kernel Hilbert space method (RKHSM) to solve linear and non-linear fuzzy integro-differential equations of fractional order under Caputo's H-differentiability. The analytic and approximate solutions are given in series form in term of their parametric form in the space $W_2^2 [a,b] \bigoplus W_2^2 [a,b]$. Several examples are carried out to show the effectiveness and the absence of complexity of the proposed method

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