基于不动点定理的非线性混合型Caputo分数积分微分方程温和解的存在唯一性

Q1 Mathematics Results in Nonlinear Analysis Pub Date : 2021-09-05 DOI:10.53006/rna.935737

Abderrahim Guerfi, A. Ardjouni

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摘要

证明了一类非线性混合一阶Caputo分数阶积分-微分方程初值问题温和解的存在唯一性。这里使用的主要工具是Krasnoselskii和Banach杂点定理。最后给出了一个例子来说明主要结果。此外，还研究了高阶Caputo分数阶积分-微分方程的情形。

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Existence and uniqueness of mild solutions for nonlinear hybrid Caputo fractional integro-differential equations via fixed point theorems

We prove the existence and uniqueness of mild solutions for initial value problems of nonlinear hybrid rst order Caputo fractional integro-di erential equations. The main tool employed here is the Krasnoselskii and Banach xed point theorems. An example is also given to illustrate the main results. In addition, the case of the Higher order Caputo fractional integro-di erential equations is studied.

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