A refinement of quasilinearization method for Caputo's sense fractional-order differential equations
type: Item
instance of: scholarly article
title: A refinement of quasilinearization method for Caputo's sense fractional-order differential equations
zbMATH Open document ID: 1204.34011
DOI: 10.1155/2010/704367
author: Coşkun Yakar
author: Ali Yakar
published in: Abstract and Applied Analysis
publication date: 2010-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/232197
review text: Summary: The method of quasilinearization for fractional-order differential equationin Caputo's sense is applied to obtain lower and upper sequences in terms of the solutions of linear fractional-order differential equations in Caputo's sense. It is also shown that these sequences converge to the unique solution of the nonlinear fractional-order differential equation in Caputo's sense uniformly and semiquadratically with less restrictive assumptions.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 5791634
Wikidata QID: Q58649904
MaRDI profile type: Publication
OpenAlex ID: W2140888044
cites work: Q4397695
cites work: Q3408155
cites work: Q3646040
cites work: Generalized quasilinearization for fractional differential equations
cites work: Q3628064
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description: scientific article; zbMATH DE number 5791634