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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2021
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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) |
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Fixed-point Generalized fractional operators Snap equation Special operators Mathematics QA1-939 |
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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 |
_version_ |
1718419231261851648 |