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Research Article | Open Access

Solution of fractional differential equation by fixed point results in orthogonal F -metric spaces

Mohammed H. Alharbi, Jamshaid Ahmad( )
Department of Mathematics, College of Science, University of Jeddah, Jeddah 21589, Saudi Arabia
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Abstract

In this paper, we solve the existence and uniqueness of a solution for a fractional differential equation by introducing some new fixed point results for rational ( α, β, ψ)-contractions in the framework of orthogonal F -metric spaces. We derive some well-known results in literature as consequences of our leading result.

Keywords

fixed pointorthogonal F-metric spaceorthogonal cyclic (α, β)-admissiblerational (α, β, ψ)-contractionfractional differential equations
CLC number: 46S40, 47H10, 54H25

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 27347-27362
DOI: 10.3934/math.20231399

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Cite this article:
Alharbi MH, Ahmad J. Solution of fractional differential equation by fixed point results in orthogonal F -metric spaces. AIMS Mathematics, 2023, 8(11): 27347-27362. https://doi.org/10.3934/math.20231399

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Received: 18 July 2023
Revised: 29 August 2023
Accepted: 06 September 2023
Published: 15 November 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)