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Research Article | Open Access

Existence results by Mönch's fixed point theorem for a tripled 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, Coimbatore-641020, Tamil Nadu, India
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Abstract

In this paper, we study the existence of the solutions for a tripled system of Caputo sequential fractional differential equations. The main results are established with the aid of Mönch's fixed point theorem. The stability of the tripled system is also investigated via the Ulam-Hyer technique. In addition, an applied example with graphs of the behaviour of the system solutions with different fractional orders are provided to support the theoretical results obtained in this study.

Keywords

Caputo fractional derivativetripled systemexistencemixed boundary conditionsH-U stability
CLC number: 26A33, 34B15, 34B18

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 3969-3996
DOI: 10.3934/math.2023199

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Cite this article:
Al Elaiw A, Manigandan M, Awadalla M, et al. Existence results by Mönch's fixed point theorem for a tripled system of sequential fractional differential equations. AIMS Mathematics, 2023, 8(2): 3969-3996. https://doi.org/10.3934/math.2023199

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Received: 17 August 2022
Revised: 12 November 2022
Accepted: 24 November 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)