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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Autores principales: Mohammad Esmael Samei, Mohammed M. Matar, Sina Etemad, Shahram Rezapour
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Lenguaje:EN
Publicado: SpringerOpen 2021
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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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