$Faedo-Galerkin approximation of mild solutions of fractional functional differential equations$
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Faedo-Galerkin approximation of mild solutions of fractional functional differential equations

In the paper, we discuss the existence and uniqueness of mild solutions of a class of fractional functional differential equations in Hilbert space separable using the Banach fixed point theorem technique. In this sense, Faedo-Galerkin approximation to the solution is studied and demonstrated some c...

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Autores principales:	Sousa J. Vanterler da C., Fečkan Michal, de Oliveira E. Capelas
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	fractional differential equations existence and uniqueness mild solution faedo-galerkin approximation gronwall inequality 26a33 34k30 34g20 47h06 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/6f435d8bf42d4b8182577321016d6eb3
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id	oai:doaj.org-article:6f435d8bf42d4b8182577321016d6eb3
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spelling	oai:doaj.org-article:6f435d8bf42d4b8182577321016d6eb32021-12-05T14:10:56ZFaedo-Galerkin approximation of mild solutions of fractional functional differential equations2353-062610.1515/msds-2020-0122https://doaj.org/article/6f435d8bf42d4b8182577321016d6eb32021-01-01T00:00:00Zhttps://doi.org/10.1515/msds-2020-0122https://doaj.org/toc/2353-0626In the paper, we discuss the existence and uniqueness of mild solutions of a class of fractional functional differential equations in Hilbert space separable using the Banach fixed point theorem technique. In this sense, Faedo-Galerkin approximation to the solution is studied and demonstrated some convergence results.Sousa J. Vanterler da C.Fečkan Michalde Oliveira E. CapelasDe Gruyterarticlefractional differential equationsexistence and uniquenessmild solutionfaedo-galerkin approximationgronwall inequality26a3334k3034g2047h06MathematicsQA1-939ENNonautonomous Dynamical Systems, Vol 8, Iss 1, Pp 1-17 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fractional differential equations existence and uniqueness mild solution faedo-galerkin approximation gronwall inequality 26a33 34k30 34g20 47h06 Mathematics QA1-939
spellingShingle	fractional differential equations existence and uniqueness mild solution faedo-galerkin approximation gronwall inequality 26a33 34k30 34g20 47h06 Mathematics QA1-939 Sousa J. Vanterler da C. Fečkan Michal de Oliveira E. Capelas Faedo-Galerkin approximation of mild solutions of fractional functional differential equations
description	In the paper, we discuss the existence and uniqueness of mild solutions of a class of fractional functional differential equations in Hilbert space separable using the Banach fixed point theorem technique. In this sense, Faedo-Galerkin approximation to the solution is studied and demonstrated some convergence results.
format	article
author	Sousa J. Vanterler da C. Fečkan Michal de Oliveira E. Capelas
author_facet	Sousa J. Vanterler da C. Fečkan Michal de Oliveira E. Capelas
author_sort	Sousa J. Vanterler da C.
title	Faedo-Galerkin approximation of mild solutions of fractional functional differential equations
title_short	Faedo-Galerkin approximation of mild solutions of fractional functional differential equations
title_full	Faedo-Galerkin approximation of mild solutions of fractional functional differential equations
title_fullStr	Faedo-Galerkin approximation of mild solutions of fractional functional differential equations
title_full_unstemmed	Faedo-Galerkin approximation of mild solutions of fractional functional differential equations
title_sort	faedo-galerkin approximation of mild solutions of fractional functional differential equations
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/6f435d8bf42d4b8182577321016d6eb3
work_keys_str_mv	AT sousajvanterlerdac faedogalerkinapproximationofmildsolutionsoffractionalfunctionaldifferentialequations AT feckanmichal faedogalerkinapproximationofmildsolutionsoffractionalfunctionaldifferentialequations AT deoliveiraecapelas faedogalerkinapproximationofmildsolutionsoffractionalfunctionaldifferentialequations
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Faedo-Galerkin approximation of mild solutions of fractional functional differential equations

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