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

被引：0

作者：

Zeghida, Takieddine ^{[1
]}

Khaldi, Rabah ^{[1
]}

Guezane-Lakoud, Assia ^{[1
]}

机构：

[1] Univ Badji Mokhtar Annaba, Fac Sci, Dept Math, Annaba 23000, Algeria

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2024年 / 21卷 / 03期

关键词：

Existence of solutions; Fixed point theorem; Riesz-Caputo; DIFFERENTIAL-EQUATIONS;

D O I：

10.22130/scma.2024.2006083.1394

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：301 / 322

页数：23

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