Abstract and Applied Analysis

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

Coşkun Yakar and Ali Yakar

Full-text: Open access

Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 704367, 10 pages.

Dates
First available in Project Euclid: 1 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1288620754

Digital Object Identifier
doi:10.1155/2010/704367

Mathematical Reviews number (MathSciNet)
MR2674390

Zentralblatt MATH identifier
1204.34011

Citation

Yakar, Coşkun; Yakar, Ali. A Refinement of Quasilinearization Method for Caputo's Sense Fractional-Order Differential Equations. Abstr. Appl. Anal. 2010 (2010), Article ID 704367, 10 pages. doi:10.1155/2010/704367. https://projecteuclid.org/euclid.aaa/1288620754


Export citation