Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives

Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives

This paper explores the study of a specific category of nonlinear multi-point boundary value problems (BVPs) associated with Riesz-Caputo fractional differential equations and integral boundary conditions. The primary objective is to establish the existence of solutions under specific assumptions. W...

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Bibliographic Details
Main Authors: Takieddine Zeghida, Rabah Khaldi, Assia Guezane-Lakoud
Format: Article
Language:English
Published: University of Maragheh 2024-07-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
existence of solutions
fixed point theorem
riesz-caputo
Online Access:https://scma.maragheh.ac.ir/article_712438_7fe800a8467458d73a27aa56a9e8c0dc.pdf
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Summary:This paper explores the study of a specific category of nonlinear multi-point boundary value problems (BVPs) associated with Riesz-Caputo fractional differential equations and integral boundary conditions. The primary objective is to establish the existence of solutions under specific assumptions. We use Krasnoselskii's fixed point theorem and Leray-Schauder's nonlinear alternative to achieve this goal. Furthermore, numerical examples are presented and plotted to demonstrate the effectiveness of the obtained results.
ISSN:2322-5807
2423-3900

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