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A Refinement of Quasilinearization Method for Caputo′s Sense Fractional‐Order Differential Equations

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  • Coşkun Yakar
  • Ali Yakar

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.

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Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:704367
DOI: 10.1155/2010/704367
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