Existence of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditions

被引：0

作者：

Al-Shbeil, Isra ^{[1
]}

Benali, Abdelkader ^{[2
]}

Bouzid, Houari ^{[2
]}

Aloraini, Najla ^{[3
]}

机构：

[1] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan

[2] Univ Hassiba Benbouali, Fac Exact Sci & Comp, Math Dept, Lab LMA, Chlef 02000, Algeria

[3] Qassim Univ, Fac Sci, Dept Math, Qasim, Saudi Arabia

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 10期

关键词：

Riemann-Liouville integral; existence of solutions; fixed point theorem;

D O I：

10.3934/math.2022998

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study existence and uniqueness of solutions for multi-point boundary value problemS of nonlinear fractional differential equations with two fractional derivatives. By using a variety of fixed point theorems, such as Banach's fixed point theorem, Leray-Schauder's nonlinear alternative and Leray-Schauder's degree theory, the existence of solutions is obtained. At the end, some illustrative examples are discussed.

引用

页码：18142 / 18157

页数：16

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