Faedo-Galerkin approximation of solution for a nonlocal neutral fractional differential equation with deviating argument
type: Item
instance of: scholarly article
title: Faedo-Galerkin approximation of solution for a nonlocal neutral fractional differential equation with deviating argument
zbMATH Open document ID: 1359.34081
author: Alka Chadha
author: Dwijendra N. Pandey
published in: Mediterranean Journal of Mathematics
publication date: 2016-12-07T00:00:00Z
review text: In this paper, the authors study the existence of solutions of a class of nonlocal neutral fractional differential equations with deviating argument in a separable Hilbert space. They obtain an associated integral equation and then, consider a sequence of approximate integral equations. They investigate the existence and uniqueness of the mild solution for every approximate integral equation by using analytic semigroup theory and the Banach fixed point theorem. Next, the authors demonstrate the convergence of the solutions of the approximate integral equations to the solution of the associated integral equation. The Faedo-Galerkin approximation of the solution is studied and some convergence results are established. An example is provided to illustrate the theory.
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34K07
zbMATH DE Number: 6661821
zbMATH Keywords: analytic semigroup
zbMATH Keywords: Banach fixed point theorem
zbMATH Keywords: nonlocal conditions
zbMATH Keywords: neutral fractional differential equation with deviating argument
zbMATH Keywords: Faedo-Galerkin approximation
reviewed by: Krishnan Balachandran
MaRDI profile type: Publication
full work available at URL: s00009-015-0671-7
OpenAlex ID: W2225011386
Wikidata QID: Q115390378
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DOI: 10.1007/S00009-015-0671-7
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description: scientific article; zbMATH DE number 6661821