On coupled snap system with integral boundary conditions in the $ \mathbb{G} $-Caputo sense-Reference-Cited by-同舟云学术

On coupled snap system with integral boundary conditions in the $ \mathbb{G} $-Caputo sense

Published:2023 Issue:6 Volume:8 Page:12576-12605
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Thabet Sabri T. M.¹²,Matar Mohammed M.³,Salman Mohammed Abdullah⁴,Samei Mohammad Esmael⁵,Vivas-Cortez Miguel⁶,Kedim Imed⁷

Affiliation:

1. Department of Mathematics, University of Aden, Aden, Yemen

2. Department of Mathematics, University of Lahej, Lahej, Yemen

3. Department of Mathematics, Al-Azhar University-Gaza, Gaza Strip, Palestine

4. Department of Mathematics and Statistics, Amran University, Amran, Yemen

5. Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan 65178-38695, Iran

6. 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

7. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Abstract

<abstract><p>In this paper, we consider a coupled snap system in a fractional $ \mathbb{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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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