Existence Results for an Implicit Coupled System Involving ξ-Caputo and p-Laplacian Operators

被引：1

作者：

Benhadda, Walid ^{[1
]}

Kassidi, Abderrazak ^{[1
]}

El Mfadel, Ali ^{[1
]}

Elomari, M'hamed ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Lab Appl Math & Sci Comp, Beni Mellal, Morocco

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2024年 / 21卷 / 04期

关键词：

Caputo fractional derivative; Measures of noncompact- ness; p-Laplacian operator; Topological degree theorem; EQUATION;

D O I：

10.22130/scma.2024.2022259.1607

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper aims to establish the existence and uniqueness of a solution to a coupled system of-Caputo fractional differential equations involving the p-Laplacian operator in an arbitrary Banach space. The results of the existence derived using the tools of topological degree theory for condensing maps and the Banach contraction principle. An illustrative example is given at the end to demonstrate the practical application of the theoretical results.

引用

页码：137 / 153

页数：17

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