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

Sabri T.M. Thabet; Mohammed M. Matar; Mohammed Abdullah Salman; Mohammad Esmael Samei; Miguel Vivas-Cortez; Imed Kedim

doi:10.3934/math.2023632

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

Sabri T.M. Thabet, Mohammed M. Matar, Mohammed Abdullah Salman, Mohammad Esmael Samei, Miguel Vivas-Cortez, Imed Kedim

Mathematics

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31 Scopus citations

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.

Original language	English
Pages (from-to)	12576-12605
Number of pages	30
Journal	AIMS Mathematics
Volume	8
Issue number	6
DOIs	https://doi.org/10.3934/math.2023632
State	Published - 2023

Keywords

boundary value problem
G-Caputo fractional differential equation
snap problem
Ulam-Hyers-Rassias stability

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10.3934/math.2023632

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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 = "boundary value problem, G-Caputo fractional differential equation, snap problem, Ulam-Hyers-Rassias stability",

author = "Thabet, \{Sabri T.M.\} and Matar, \{Mohammed M.\} and Salman, \{Mohammed Abdullah\} and Samei, \{Mohammad Esmael\} and Miguel Vivas-Cortez and Imed Kedim",

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AU - Thabet, Sabri T.M.

AU - Matar, Mohammed M.

AU - Salman, Mohammed Abdullah

AU - Samei, Mohammad Esmael

AU - Vivas-Cortez, Miguel

AU - Kedim, Imed

PY - 2023

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KW - boundary value problem

KW - G-Caputo fractional differential equation

KW - snap problem

KW - Ulam-Hyers-Rassias stability

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

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Keywords

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