Two New Approximations for Variable-Order Fractional Derivatives

Ruilian Du and Zongqi Liang

Discrete Dynamics in Nature and Society, 2017, vol. 2017, 1-10

Abstract:

We introduced a parameter which was related to ; then two numerical schemes for variable-order Caputo fractional derivatives were derived; the second-order numerical approximation to variable-order fractional derivatives and -order approximation for are established. For the given parameter , the error estimations of formulas were proven, which were higher than some recently derived schemes. Finally, some numerical examples with exact solutions were studied to demonstrate the theoretical analysis and verify the efficiency of the proposed methods.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:1586249

DOI: 10.1155/2017/1586249

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