Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-07-25 DOI:10.1186/s13661-024-01901-y

M. Latha Maheswari, K. S. Keerthana Shri, Karthik Muthusamy

引用次数: 0

Abstract

In this paper, the coupled system of sequential ψ-Hilfer fractional boundary value problems with non-instantaneous impulses is investigated. The existence results of the system are proved by means of topological degree theory. An example is constructed to demonstrate our results. Additionally, a graphical analysis is performed to verify our results.

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耦合顺序ψ-希尔费分数脉冲 BVPs 的存在结果：拓扑度理论方法

本文研究了具有非瞬时脉冲的顺序ψ-Hilfer 分数边界值问题耦合系统。通过拓扑度理论证明了系统的存在性结果。为了证明我们的结果，我们构建了一个实例。此外，还进行了图形分析以验证我们的结果。

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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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.