Generalization of Darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces

Generalization of Darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces

The aim of this work is to give some fixed point results based on the technique of measure of noncompactness which extend the classical Darbo’s theorem. With the help of our Darbo-type theorem, we obtain the existence of solution of implicit fractional integral equations in C(I,ℓpα) (collection of a...

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Autores principales: Anupam Das, S.A. Mohiuddine, Abdullah Alotaibi, Bhuban Chandra Deuri
Formato: article
Lenguaje:EN
Publicado: Elsevier 2022
Materias:
45G15
46B45
47H08
47H10
Engineering (General). Civil engineering (General)
TA1-2040
Acceso en línea:https://doaj.org/article/ef3766b64d184a96b0fa6b545e333d4e
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spelling oai:doaj.org-article:ef3766b64d184a96b0fa6b545e333d4e2021-11-30T04:13:52ZGeneralization of Darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces1110-016810.1016/j.aej.2021.07.031https://doaj.org/article/ef3766b64d184a96b0fa6b545e333d4e2022-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004993https://doaj.org/toc/1110-0168The aim of this work is to give some fixed point results based on the technique of measure of noncompactness which extend the classical Darbo’s theorem. With the help of our Darbo-type theorem, we obtain the existence of solution of implicit fractional integral equations in C(I,ℓpα) (collection of all continuous functions from I=[0,a] (a>0) to ℓpα), where ℓpα is a tempered sequence space. Finally, we present a numerical example to see the validity and practicability of our existence result.Anupam DasS.A. MohiuddineAbdullah AlotaibiBhuban Chandra DeuriElsevierarticle45G1546B4547H0847H10Engineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 3, Pp 2010-2015 (2022)
institution DOAJ
collection DOAJ
language EN
topic 45G15
46B45
47H08
47H10
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle 45G15
46B45
47H08
47H10
Engineering (General). Civil engineering (General)
TA1-2040
Anupam Das
S.A. Mohiuddine
Abdullah Alotaibi
Bhuban Chandra Deuri
Generalization of Darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces
description The aim of this work is to give some fixed point results based on the technique of measure of noncompactness which extend the classical Darbo’s theorem. With the help of our Darbo-type theorem, we obtain the existence of solution of implicit fractional integral equations in C(I,ℓpα) (collection of all continuous functions from I=[0,a] (a>0) to ℓpα), where ℓpα is a tempered sequence space. Finally, we present a numerical example to see the validity and practicability of our existence result.
format article
author Anupam Das
S.A. Mohiuddine
Abdullah Alotaibi
Bhuban Chandra Deuri
author_facet Anupam Das
S.A. Mohiuddine
Abdullah Alotaibi
Bhuban Chandra Deuri
author_sort Anupam Das
title Generalization of Darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces
title_short Generalization of Darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces
title_full Generalization of Darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces
title_fullStr Generalization of Darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces
title_full_unstemmed Generalization of Darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces
title_sort generalization of darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces
publisher Elsevier
publishDate 2022
url https://doaj.org/article/ef3766b64d184a96b0fa6b545e333d4e
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AT abdullahalotaibi generalizationofdarbotypetheoremandapplicationonexistenceofimplicitfractionalintegralequationsintemperedsequencespaces
AT bhubanchandradeuri generalizationofdarbotypetheoremandapplicationonexistenceofimplicitfractionalintegralequationsintemperedsequencespaces
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