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

Souad Ayadi; Ozgur Ege; Manuel De la Sen; Souad Ayadi; Ozgur Ege; Manuel De la Sen

doi:10.3934/math.2023556

AIMS Mathematics

2023, Volume 8, Issue 5: 10978-10996. doi: 10.3934/math.2023556

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

1.
Science Department of Matter, Faculty of Science, Djilali Bounaama University, Khemis Miliana, Algeria
2.
Department of Mathematics, Faculty of Science, Ege University, Bornova, 35100 Izmir, Turkey
3.
Institute of Research and Development of Processes, Department of Electricity and Electronics, University of the Basque Country, 48940 Leioa, Spain

Received: 07 December 2022 Revised: 16 February 2023 Accepted: 21 February 2023 Published: 07 March 2023
MSC : 35J25, 46C15, 46E35, 47H10

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.
- deformable derivative,
- pantograph equations,
- Banach contraction principle,
- hybrid coupled system,
- Ulam-Hyers stability
Citation: Souad Ayadi, Ozgur Ege, Manuel De la Sen. On a coupled system of generalized hybrid pantograph equations involving fractional deformable derivatives[J]. AIMS Mathematics, 2023, 8(5): 10978-10996. doi: 10.3934/math.2023556

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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.

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