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

AIMS Mathematics

article

Isra Al-Shbeil¹  Abdelkader Benali²  Houari Bouzid²  Najla Aloraini³ 

[1] Department of Mathematics, Faculty of Sciences, University of Jordan;University of Hassiba Benbouali, Faculty of the Exact Sciences and Computer, Mathematics Department, Laboratory LMA;Department of Mathematics, Faculty of Science, Qassim University

关键词: Riemann-Liouville integral;    existence of solutions;    fixed point theorem;   

DOI  :  10.3934/math.2022998

学科分类：地球科学(综合)

来源: AIMS Press

【 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.

【 授权许可】

CC BY