Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2021-04-21 DOI:10.1155/2021/5592010

Abdelkrim Salim, M. Benchohra, J. Lazreg, G. N’Guérékata

引用次数: 11

Abstract

This article deals with some existence, uniqueness, and Ulam-Hyers-Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and generalized Hilfer Fractional derivative. The results are obtained using the Banach contraction principle and Krasnoselskii’s and Schaefer’s fixed-point theorems.

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带脉冲的非线性隐式广义hilfer型分数阶微分方程的边值问题

本文讨论了一类具有脉冲和广义Hilfer分数阶导数的非线性隐式分数阶微分方程边值问题的一些存在性、唯一性和Ulam-Hiers-Rassias稳定性结果。利用Banach收缩原理和Krasnoselskii和Schaefer不动点定理得到了结果。

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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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.