Bernstein operational matrix of fractional derivatives and its applications |
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| Authors: | Abbas Saadatmandi |
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| Affiliation: | Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-51167, Iran |
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| Abstract: | In this paper, Bernstein operational matrix of fractional derivative of order α in the Caputo sense is derived. We also apply this matrix to the collocation method for solving multi-order fractional differential equations. The numerical results obtained by the present method compares favorably with those obtained by various collocation methods earlier in the literature. |
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| Keywords: | Bernstein polynomials Fractional-order differential equations Collocation method Operational matrix Caputo derivative |
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