一类含特殊导数的分数阶微分方程的存在性结果

Q3 Mathematics

Moroccan Journal of Pure and Applied Analysis Pub Date : 2021-08-10 DOI:10.2478/mjpaa-2022-0006

M. Beddani, B. Hedia

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引用次数: 5

摘要

摘要本文建立了Banach空间中一类分数型常微分方程初值问题解存在的充分条件。我们的方法是基于Mönch不动点定理和一个合适的非紧性度量的结合。并给出了一个例子来说明我们的方法。

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 result for a fractional differential equation involving a special derivative

Abstract In this article, we establish certain sufficient conditions to show the existence of solutions of an initial value problem of fractional-ordinary differential equation in Banach space. Our approach is based on a combination of Mönch fixed point theorem and a suitable measure of non-compactness. Also an example is given to illustrate our approach.

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来源期刊

Moroccan Journal of Pure and Applied Analysis Mathematics-Numerical Analysis

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

8 weeks