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Research Article | Open Access

On coupled snap system with integral boundary conditions in the G -Caputo sense

Sabri T. M. Thabet1,2 , Mohammed M. Matar3 , Mohammed Abdullah Salman4 , Mohammad Esmael Samei5 , Miguel Vivas-Cortez6 ( ), Imed Kedim7
Department of Mathematics, University of Aden, Aden, Yemen
Department of Mathematics, University of Lahej, Lahej, Yemen
Department of Mathematics, Al-Azhar University-Gaza, Gaza Strip, Palestine
Department of Mathematics and Statistics, Amran University, Amran, Yemen
Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan 65178-38695, Iran
Faculty of Exact and Natural Sciences, School of Physical Sciences and Mathematics, Pontifical Catholic University of Ecuador, Av. 12 de octubre 1076 y Roca, Apartado Postal 17-01-2184, Sede Quito, Ecuador
Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
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Abstract

In this paper, we consider a coupled snap system in a fractional G -Caputo derivative sense with integral boundary conditions. Hyers-Ulam stability criterion is investigated, and a numerical simulation will be supplied to some applications. Some numerical simulations are presented to guarantee the theoretical results.

Keywords

snap problemG-Caputo fractional differential equationboundary value problemUlam-Hyers-Rassias stability
CLC number: 34A08, 34B18

References

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AIMS Mathematics
Volume 8 Issue 6,
June 2023
Pages 12576-12605
DOI: 10.3934/math.2023632

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Cite this article:
Thabet STM, Matar MM, Salman MA, et al. On coupled snap system with integral boundary conditions in the G -Caputo sense. AIMS Mathematics, 2023, 8(6): 12576-12605. https://doi.org/10.3934/math.2023632

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Received: 06 December 2022
Revised: 19 January 2023
Accepted: 13 February 2023
Published: 15 June 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)