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

Coşkun Yakar and Ali Yakar

Abstract and Applied Analysis, 2010, vol. 2010, 1-10

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:704367

DOI: 10.1155/2010/704367

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