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Research Article | Open Access

On a coupled system of generalized hybrid pantograph equations involving fractional deformable derivatives

Souad Ayadi1, Ozgur Ege2( ), Manuel De la Sen3
Science Department of Matter, Faculty of Science, Djilali Bounaama University, Khemis Miliana, Algeria
Department of Mathematics, Faculty of Science, Ege University, Bornova, 35100 Izmir, Turkey
Institute of Research and Development of Processes, Department of Electricity and Electronics, University of the Basque Country, 48940 Leioa, Spain
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Abstract

The goal of this work is to study the existence of a unique solution and the Ulam-Hyers stability of a coupled system of generalized hybrid pantograph equations with fractional deformable derivatives. Our main tool is Banach's contraction principle. The paper ends with an example to support our results.

Keywords

deformable derivativepantograph equationsBanach contraction principlehybrid coupled systemUlam-Hyers stability
CLC number: 35J25, 46C15, 46E35, 47H10

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AIMS Mathematics
Volume 8 Issue 5,
May 2023
Pages 10978-10996
DOI: 10.3934/math.2023556

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Cite this article:
Ayadi S, Ege O, Sen MDl. On a coupled system of generalized hybrid pantograph equations involving fractional deformable derivatives. AIMS Mathematics, 2023, 8(5): 10978-10996. https://doi.org/10.3934/math.2023556

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Received: 07 December 2022
Revised: 16 February 2023
Accepted: 21 February 2023
Published: 15 May 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)