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Research Article | Open Access

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

Isra Al-Shbeil1, Abdelkader Benali2, Houari Bouzid2, Najla Aloraini3( )
Department of Mathematics, Faculty of Sciences, University of Jordan, Amman 11942, Jordan
University of Hassiba Benbouali, Faculty of the Exact Sciences and Computer, Mathematics Department, Laboratory LMA, Chlef 02000, Algeria
Department of Mathematics, Faculty of Science, Qassim University, Qassim, Saudi Arabia
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Abstract

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.

Keywords

Riemann-Liouville integralexistence of solutionsfixed point theorem
CLC number: Primary 46C05, Secondary 47A05

References

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AIMS Mathematics
Volume 7 Issue 10,
October 2022
Pages 18142-18157
DOI: 10.3934/math.2022998

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Cite this article:
Al-Shbeil I, Benali A, Bouzid H, et al. Existence of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditions. AIMS Mathematics, 2022, 7(10): 18142-18157. https://doi.org/10.3934/math.2022998

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Received: 05 June 2022
Revised: 24 July 2022
Accepted: 27 July 2022
Published: 15 October 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)