$On the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis$
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On the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis

Abstract This research is conducted for studying some qualitative specifications of solution to a generalized fractional structure of the standard snap boundary problem. We first rewrite the mathematical model of the extended fractional snap problem by means of the G $\mathbb{G}$ -operators. After f...

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Auteurs principaux:	Mohammad Esmael Samei, Mohammed M. Matar, Sina Etemad, Shahram Rezapour
Format:	article
Langue:	EN
Publié:	SpringerOpen 2021
Sujets:	Fixed-point Generalized fractional operators Snap equation Special operators Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/1ec2ac1fbe124aa78a1d5652da1f10f3
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id	oai:doaj.org-article:1ec2ac1fbe124aa78a1d5652da1f10f3
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spelling	oai:doaj.org-article:1ec2ac1fbe124aa78a1d5652da1f10f32021-11-21T12:06:48ZOn the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis10.1186/s13662-021-03654-91687-1847https://doaj.org/article/1ec2ac1fbe124aa78a1d5652da1f10f32021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03654-9https://doaj.org/toc/1687-1847Abstract This research is conducted for studying some qualitative specifications of solution to a generalized fractional structure of the standard snap boundary problem. We first rewrite the mathematical model of the extended fractional snap problem by means of the G $\mathbb{G}$ -operators. After finding its equivalent solution as a form of the integral equation, we establish the existence criterion of this reformulated model with respect to some known fixed point techniques. Then we analyze its stability and further investigate the inclusion version of the problem with the help of some special contractions. We present numerical simulations for solutions of several examples regarding the fractional G $\mathbb{G}$ -snap system in different structures including the Caputo, Caputo–Hadamard, and Katugampola operators of different orders.Mohammad Esmael SameiMohammed M. MatarSina EtemadShahram RezapourSpringerOpenarticleFixed-pointGeneralized fractional operatorsSnap equationSpecial operatorsMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-55 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Fixed-point Generalized fractional operators Snap equation Special operators Mathematics QA1-939
spellingShingle	Fixed-point Generalized fractional operators Snap equation Special operators Mathematics QA1-939 Mohammad Esmael Samei Mohammed M. Matar Sina Etemad Shahram Rezapour On the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis
description	Abstract This research is conducted for studying some qualitative specifications of solution to a generalized fractional structure of the standard snap boundary problem. We first rewrite the mathematical model of the extended fractional snap problem by means of the G $\mathbb{G}$ -operators. After finding its equivalent solution as a form of the integral equation, we establish the existence criterion of this reformulated model with respect to some known fixed point techniques. Then we analyze its stability and further investigate the inclusion version of the problem with the help of some special contractions. We present numerical simulations for solutions of several examples regarding the fractional G $\mathbb{G}$ -snap system in different structures including the Caputo, Caputo–Hadamard, and Katugampola operators of different orders.
format	article
author	Mohammad Esmael Samei Mohammed M. Matar Sina Etemad Shahram Rezapour
author_facet	Mohammad Esmael Samei Mohammed M. Matar Sina Etemad Shahram Rezapour
author_sort	Mohammad Esmael Samei
title	On the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis
title_short	On the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis
title_full	On the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis
title_fullStr	On the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis
title_full_unstemmed	On the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis
title_sort	on the generalized fractional snap boundary problems via g-caputo operators: existence and stability analysis
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/1ec2ac1fbe124aa78a1d5652da1f10f3
work_keys_str_mv	AT mohammadesmaelsamei onthegeneralizedfractionalsnapboundaryproblemsviagcaputooperatorsexistenceandstabilityanalysis AT mohammedmmatar onthegeneralizedfractionalsnapboundaryproblemsviagcaputooperatorsexistenceandstabilityanalysis AT sinaetemad onthegeneralizedfractionalsnapboundaryproblemsviagcaputooperatorsexistenceandstabilityanalysis AT shahramrezapour onthegeneralizedfractionalsnapboundaryproblemsviagcaputooperatorsexistenceandstabilityanalysis
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On the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis

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