Existence, uniqueness and HUR stability of fractional integral equations by random matrix control functions in MMB-space

Existence, uniqueness and HUR stability of fractional integral equations by random matrix control functions in MMB-space

In this paper, we consider a generalized triangular norm on matrix and introduce Menger Banach matrix valued spaces. Next, we apply a class of random matrix control functions to investigate the existence, uniqueness and HUR stability of a class of fractional Volterra integral equations. We use the R...

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Autores principales: Reza Chaharpashlou, Reza Saadati, Thabet Abdeljawad
Formato: article
Lenguaje:EN
Publicado: Taylor & Francis Group 2021
Materias:
existence
uniqueness
stability
fractional integral equations
control function
mb-space
Science (General)
Q1-390
Acceso en línea:https://doaj.org/article/84797ccf031f41209a037b7b50b6bb6e
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spelling oai:doaj.org-article:84797ccf031f41209a037b7b50b6bb6e2021-11-04T15:00:42ZExistence, uniqueness and HUR stability of fractional integral equations by random matrix control functions in MMB-space1658-365510.1080/16583655.2021.1994787https://doaj.org/article/84797ccf031f41209a037b7b50b6bb6e2021-01-01T00:00:00Zhttp://dx.doi.org/10.1080/16583655.2021.1994787https://doaj.org/toc/1658-3655In this paper, we consider a generalized triangular norm on matrix and introduce Menger Banach matrix valued spaces. Next, we apply a class of random matrix control functions to investigate the existence, uniqueness and HUR stability of a class of fractional Volterra integral equations. We use the Radu-Mihe method, to get an approximation for the mentioned fractional Volterra integral equation.Reza ChaharpashlouReza SaadatiThabet AbdeljawadTaylor & Francis Grouparticleexistenceuniquenessstabilityfractional integral equationscontrol functionmb-spaceScience (General)Q1-390ENJournal of Taibah University for Science, Vol 15, Iss 1, Pp 574-578 (2021)
institution DOAJ
collection DOAJ
language EN
topic existence
uniqueness
stability
fractional integral equations
control function
mb-space
Science (General)
Q1-390
spellingShingle existence
uniqueness
stability
fractional integral equations
control function
mb-space
Science (General)
Q1-390
Reza Chaharpashlou
Reza Saadati
Thabet Abdeljawad
Existence, uniqueness and HUR stability of fractional integral equations by random matrix control functions in MMB-space
description In this paper, we consider a generalized triangular norm on matrix and introduce Menger Banach matrix valued spaces. Next, we apply a class of random matrix control functions to investigate the existence, uniqueness and HUR stability of a class of fractional Volterra integral equations. We use the Radu-Mihe method, to get an approximation for the mentioned fractional Volterra integral equation.
format article
author Reza Chaharpashlou
Reza Saadati
Thabet Abdeljawad
author_facet Reza Chaharpashlou
Reza Saadati
Thabet Abdeljawad
author_sort Reza Chaharpashlou
title Existence, uniqueness and HUR stability of fractional integral equations by random matrix control functions in MMB-space
title_short Existence, uniqueness and HUR stability of fractional integral equations by random matrix control functions in MMB-space
title_full Existence, uniqueness and HUR stability of fractional integral equations by random matrix control functions in MMB-space
title_fullStr Existence, uniqueness and HUR stability of fractional integral equations by random matrix control functions in MMB-space
title_full_unstemmed Existence, uniqueness and HUR stability of fractional integral equations by random matrix control functions in MMB-space
title_sort existence, uniqueness and hur stability of fractional integral equations by random matrix control functions in mmb-space
publisher Taylor & Francis Group
publishDate 2021
url https://doaj.org/article/84797ccf031f41209a037b7b50b6bb6e
work_keys_str_mv AT rezachaharpashlou existenceuniquenessandhurstabilityoffractionalintegralequationsbyrandommatrixcontrolfunctionsinmmbspace
AT rezasaadati existenceuniquenessandhurstabilityoffractionalintegralequationsbyrandommatrixcontrolfunctionsinmmbspace
AT thabetabdeljawad existenceuniquenessandhurstabilityoffractionalintegralequationsbyrandommatrixcontrolfunctionsinmmbspace
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