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

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 th...

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Main Authors: Sabri T. M. Thabet, Mohammed M. Matar, Mohammed Abdullah Salman, Mohammad Esmael Samei, Miguel Vivas-Cortez, Imed Kedim
Format: Article
Language:English
Published: AIMS Press 2023-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023632?viewType=HTML
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author Sabri T. M. Thabet
Mohammed M. Matar
Mohammed Abdullah Salman
Mohammad Esmael Samei
Miguel Vivas-Cortez
Imed Kedim
author_facet Sabri T. M. Thabet
Mohammed M. Matar
Mohammed Abdullah Salman
Mohammad Esmael Samei
Miguel Vivas-Cortez
Imed Kedim
author_sort Sabri T. M. Thabet
collection DOAJ
description 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.
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spelling doaj.art-e06099b472fb4fca9f68c7b5066900562023-04-10T01:13:41ZengAIMS PressAIMS Mathematics2473-69882023-03-0186125761260510.3934/math.2023632On coupled snap system with integral boundary conditions in the G-Caputo senseSabri T. M. Thabet0https://orcid.org/0000-0002-4568-9732Mohammed M. Matar1https://orcid.org/0000-0002-7696-2340Mohammed Abdullah Salman2https://orcid.org/0000-0002-3616-1514Mohammad Esmael Samei 3https://orcid.org/0000-0002-5450-3127Miguel Vivas-Cortez4https://orcid.org/0000-0002-1567-0264Imed Kedim 51. Department of Mathematics, University of Aden, Aden, Yemen 2. Department of Mathematics, University of Lahej, Lahej, Yemen3. Department of Mathematics, Al-Azhar University-Gaza, Gaza Strip, Palestine4. Department of Mathematics and Statistics, Amran University, Amran, Yemen5. Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan 65178-38695, Iran6. 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, Ecuador7. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaIn 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.https://www.aimspress.com/article/doi/10.3934/math.2023632?viewType=HTMLsnap problemg-caputo fractional differential equationboundary value problemulam-hyers-rassias stability
spellingShingle Sabri T. M. Thabet
Mohammed M. Matar
Mohammed Abdullah Salman
Mohammad Esmael Samei
Miguel Vivas-Cortez
Imed Kedim
On coupled snap system with integral boundary conditions in the G-Caputo sense
AIMS Mathematics
snap problem
g-caputo fractional differential equation
boundary value problem
ulam-hyers-rassias stability
title On coupled snap system with integral boundary conditions in the G-Caputo sense
title_full On coupled snap system with integral boundary conditions in the G-Caputo sense
title_fullStr On coupled snap system with integral boundary conditions in the G-Caputo sense
title_full_unstemmed On coupled snap system with integral boundary conditions in the G-Caputo sense
title_short On coupled snap system with integral boundary conditions in the G-Caputo sense
title_sort on coupled snap system with integral boundary conditions in the g caputo sense
topic snap problem
g-caputo fractional differential equation
boundary value problem
ulam-hyers-rassias stability
url https://www.aimspress.com/article/doi/10.3934/math.2023632?viewType=HTML
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