具有Riesz-Caputo分数阶导数的微分耦合系统的存在唯一性及Ulam-Hyers-Rassias稳定性

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2023-06-01 DOI:10.2478/tmmp-2023-0019

Abdelkrim Salim, J. Lazreg, M. Benchohra

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引用次数: 0

摘要

本文讨论了一类具有Riesz-Caputo分数阶导数和边界条件的隐式分数阶微分方程耦合系统的存在唯一性和Ulam-Hyers—Rassias稳定性结果。我们将使用巴拿赫的收缩原理和Schauder的不动点定理来证明我们的存在性结果。我们提供了一个例子来说明所得到的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence, Uniqueness and Ulam-Hyers-Rassias Stability of Differential Coupled Systems with Riesz-Caputo Fractional Derivative

Abstract This article deals with the existence, uniqueness and Ulam-Hyers--Rassias stability results for a class of coupled systems for implicit fractional differential equations with Riesz-Caputo fractional derivative and boundary conditions. We will employ the Banach’s contraction principle as well as Schauder’s fixed point theorem to demonstrate our existence results. We provide an example to illustrate the obtained results.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

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