A Refinement of Quasilinearization Method for Caputo's Sense Fractional-Order Differential Equations

被引：10

作者：

Yakar, Coskun ^{[1
]}

Yakar, Ali ^{[1
]}

机构：

[1] Gebze Inst Technol, Dept Math, TR-14141400 Kocaeli, Turkey

来源：

ABSTRACT AND APPLIED ANALYSIS | 2010年

关键词：

D O I：

10.1155/2010/704367

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The method of the quasilinearization technique in Caputo's sense fractional- order differential equation is applied to obtain lower and upper sequences in terms of the solutions of linear Caputo's sense fractional- order differential equations. It is also shown that these sequences converge to the unique solution of the nonlinear Caputo's sense fractional- order differential equation uniformly and semiquadratically with less restrictive assumptions.

引用

页数：10

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