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, issue 1

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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https://doi.org/10.1155/2010/704367

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:704367

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