广义Caputo周期非局部边值问题的随机解

Foundations Pub Date : 2023-05-29 DOI:10.3390/foundations3020022

Bashir Ahmad, Mokhtar Boumaaza, Abdelkrim Salim, M. Benchohra

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引用次数: 1

摘要

本文给出了一类含广义Caputo分数阶导数算子的非线性隐式分数阶微分方程随机解的存在唯一性的一些结果。我们利用Banach和Krasnoselskii的不动点定理来推导期望的结果。文中还举例说明了所得结果。

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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Random Solutions for Generalized Caputo Periodic and Non-Local Boundary Value Problems

In this article, we present some results on the existence and uniqueness of random solutions to a non-linear implicit fractional differential equation involving the generalized Caputo fractional derivative operator and supplemented with non-local and periodic boundary conditions. We make use of the fixed point theorems due to Banach and Krasnoselskii to derive the desired results. Examples illustrating the obtained results are also presented.

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Foundations

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