Sign in
Existence of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditions
Journal article   Open access  Peer reviewed

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

Isra Al-Shbeil, Abdelkader Benali, Houari Bouzid and Najla Aloraini
AIMS mathematics, Vol.7(10), pp.18142-18157
01/01/2022

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
url
https://doi.org/10.3934/math.2022998View
Published (Version of record) Open

Metrics

1 Record Views

Details