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Research Article | Open Access

Mönch's fixed point theorem in investigating the existence of a solution to a system of sequential fractional differential equations

Abeer Al Elaiw1, Murugesan Manigandan2( ), Muath Awadalla1( ), Kinda Abuasbeh1
Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf, Al Ahsa 31982, Saudi Arabia
Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Tamil Nadu, Coimbatore 641020, India
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Abstract

In this article, the existence of a solution to a system of fractional equations of sequential type was investigated via Mönch's fixed point theorem. In addition, the stability of this solutions was verified by the Ulam-Hyers method. Finally, an applied example is presented to illustrate the theoretical results obtained from the existence results.

Keywords

Caputo derivativesMönch's fixed pointsequential fractional derivativeexistencestability
CLC number: 26A33, 34B15, 34B18

References

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 2591-2610
DOI: 10.3934/math.2023134

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Cite this article:
Al Elaiw A, Manigandan M, Awadalla M, et al. Mönch's fixed point theorem in investigating the existence of a solution to a system of sequential fractional differential equations. AIMS Mathematics, 2023, 8(2): 2591-2610. https://doi.org/10.3934/math.2023134

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Received: 19 September 2022
Revised: 18 October 2022
Accepted: 25 October 2022
Published: 15 February 2023
©2023 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)