ψ-Caputo fractional differential equations with multi-point boundary conditions by Topological Degree Theory

In this article, we discuss the existence and uniqueness of solutions to some nonlinear fractional differential equations involving the ψ–Caputo fractional derivative with multi-point boundary conditions. Our results rely on the technique of topological degree theory for condensing maps and the Bana...

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Bibliographic Details
Main Author: Zidane Baitiche, Choukri Derbazi, Mouffak Benchohra
Format: Article
Language:English
Published: Erdal KARAPINAR 2020-12-01
Series:Results in Nonlinear Analysis
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1062612
Description
Summary:In this article, we discuss the existence and uniqueness of solutions to some nonlinear fractional differential equations involving the ψ–Caputo fractional derivative with multi-point boundary conditions. Our results rely on the technique of topological degree theory for condensing maps and the Banach contraction principle. Also, two illustrative examples are presented to illustrate our main results.
ISSN:2636-7556
2636-7556