$Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems$
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Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems

This work intends to treat the existence of mild solutions for the Hilfer fractional hybrid differential equation (HFHDE) with linear perturbation of first and second type in partially ordered Banach spaces. First, we establish the results concerning the actuality of fixed point of sum and product o...

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Autores principales:	Gabeleh Moosa, Patel Deepesh Kumar, Patle Pradip Ramesh, Sen Manuel De La
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	partially ordered spaces (algebra) coupled fixed point measure of noncompactness hilfer fractional derivative fractional hybrid differential equation 47h10 34a08 34k37 47h08 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/b85f045ce59b41ee82e9fc045f847ac2
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spelling	oai:doaj.org-article:b85f045ce59b41ee82e9fc045f847ac22021-12-05T14:10:52ZExistence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems2391-545510.1515/math-2021-0033https://doaj.org/article/b85f045ce59b41ee82e9fc045f847ac22021-06-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0033https://doaj.org/toc/2391-5455This work intends to treat the existence of mild solutions for the Hilfer fractional hybrid differential equation (HFHDE) with linear perturbation of first and second type in partially ordered Banach spaces. First, we establish the results concerning the actuality of fixed point of sum and product of operators via the concepts of measure of noncompactness and simulation functions in partially ordered spaces. Then combining these fixed point theorems with the concepts in fractional calculus, new existence results for mild solutions of HFHDE’s are established. Furthermore, the presented fixed point results and existence results improve and extend the present state-of-art in the literature. Competent examples in support of theory are illustrated for better understanding.Gabeleh MoosaPatel Deepesh KumarPatle Pradip RameshSen Manuel De LaDe Gruyterarticlepartially ordered spaces (algebra)coupled fixed pointmeasure of noncompactnesshilfer fractional derivativefractional hybrid differential equation47h1034a0834k3747h08MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 450-469 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	partially ordered spaces (algebra) coupled fixed point measure of noncompactness hilfer fractional derivative fractional hybrid differential equation 47h10 34a08 34k37 47h08 Mathematics QA1-939
spellingShingle	partially ordered spaces (algebra) coupled fixed point measure of noncompactness hilfer fractional derivative fractional hybrid differential equation 47h10 34a08 34k37 47h08 Mathematics QA1-939 Gabeleh Moosa Patel Deepesh Kumar Patle Pradip Ramesh Sen Manuel De La Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems
description	This work intends to treat the existence of mild solutions for the Hilfer fractional hybrid differential equation (HFHDE) with linear perturbation of first and second type in partially ordered Banach spaces. First, we establish the results concerning the actuality of fixed point of sum and product of operators via the concepts of measure of noncompactness and simulation functions in partially ordered spaces. Then combining these fixed point theorems with the concepts in fractional calculus, new existence results for mild solutions of HFHDE’s are established. Furthermore, the presented fixed point results and existence results improve and extend the present state-of-art in the literature. Competent examples in support of theory are illustrated for better understanding.
format	article
author	Gabeleh Moosa Patel Deepesh Kumar Patle Pradip Ramesh Sen Manuel De La
author_facet	Gabeleh Moosa Patel Deepesh Kumar Patle Pradip Ramesh Sen Manuel De La
author_sort	Gabeleh Moosa
title	Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems
title_short	Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems
title_full	Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems
title_fullStr	Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems
title_full_unstemmed	Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems
title_sort	existence of a solution of hilfer fractional hybrid problems via new krasnoselskii-type fixed point theorems
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/b85f045ce59b41ee82e9fc045f847ac2
work_keys_str_mv	AT gabelehmoosa existenceofasolutionofhilferfractionalhybridproblemsvianewkrasnoselskiitypefixedpointtheorems AT pateldeepeshkumar existenceofasolutionofhilferfractionalhybridproblemsvianewkrasnoselskiitypefixedpointtheorems AT patlepradipramesh existenceofasolutionofhilferfractionalhybridproblemsvianewkrasnoselskiitypefixedpointtheorems AT senmanueldela existenceofasolutionofhilferfractionalhybridproblemsvianewkrasnoselskiitypefixedpointtheorems
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Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems

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