Generalized Quasilinearization for the System of Fractional Differential Equations

Generalized Quasilinearization for the System of Fractional Differential Equations

This paper considers the initial value problems of the system of fractional differential equations and constructs two monotone sequences of upper and lower solutions. By using quasilinearization technique, monotone sequences of approximate solutions that converge quadratically to a solution are obta...

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Main Authors: Peiguang Wang, Ying Hou
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/793263
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spelling doaj-a5348d615f694e74a9fd09e711f9c1272020-11-24T22:31:26ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/793263793263Generalized Quasilinearization for the System of Fractional Differential EquationsPeiguang Wang0Ying Hou1College of Electronic and Information Engineering, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer Science, Hebei University, Baoding 071002, ChinaThis paper considers the initial value problems of the system of fractional differential equations and constructs two monotone sequences of upper and lower solutions. By using quasilinearization technique, monotone sequences of approximate solutions that converge quadratically to a solution are obtained.http://dx.doi.org/10.1155/2013/793263
collection DOAJ
language English
format Article
sources DOAJ
author Peiguang Wang
Ying Hou
spellingShingle Peiguang Wang
Ying Hou
Generalized Quasilinearization for the System of Fractional Differential Equations
Journal of Function Spaces and Applications
author_facet Peiguang Wang
Ying Hou
author_sort Peiguang Wang
title Generalized Quasilinearization for the System of Fractional Differential Equations
title_short Generalized Quasilinearization for the System of Fractional Differential Equations
title_full Generalized Quasilinearization for the System of Fractional Differential Equations
title_fullStr Generalized Quasilinearization for the System of Fractional Differential Equations
title_full_unstemmed Generalized Quasilinearization for the System of Fractional Differential Equations
title_sort generalized quasilinearization for the system of fractional differential equations
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
1758-4965
publishDate 2013-01-01
description This paper considers the initial value problems of the system of fractional differential equations and constructs two monotone sequences of upper and lower solutions. By using quasilinearization technique, monotone sequences of approximate solutions that converge quadratically to a solution are obtained.
url http://dx.doi.org/10.1155/2013/793263
work_keys_str_mv AT peiguangwang generalizedquasilinearizationforthesystemoffractionaldifferentialequations
AT yinghou generalizedquasilinearizationforthesystemoffractionaldifferentialequations
_version_ 1725737127082196992

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