Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications |
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Authors: | Behrouz Parsa Moghaddam José António Tenreiro Machado |
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Affiliation: | 1.Department of Mathematics, Lahijan Branch,Islamic Azad University,Lahijan,Iran;2.Department of Electrical Engineering,Institute of Engineering,Porto,Portugal |
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Abstract: | This paper proposes accurate and robust algorithms for approximating variable order fractional derivatives of arbitrary order. The proposed schemes are based on finite difference approximations. We compare the performance of algorithms by introducing a new formulation of experimental convergence order. Two initial value problems are considered and solved by means of the proposed methods. Numerical results are provided justifying the usefulness of the proposed methods. |
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