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
收藏
页码：301 / 322
页数：23
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