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Abstract and Applied Analysis
Volume 2010, Article ID 704367, 10 pages
Research Article

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

Department of Mathematics, Gebze Institute of Technology, Gebze, Kocaeli 141-41400, Turkey

Received 29 March 2010; Revised 15 May 2010; Accepted 22 June 2010

Academic Editor: Dumitru Baleanu

Copyright © 2010 Coşkun Yakar and Ali Yakar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.