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arXiv · 1112.0693

Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative

Shakoor Pooseh·Ricardo Almeida·Delfim F. M. Torres
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Abstract

We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given. Numerical simulations show the efficiency of the approximation method.

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Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres. 2011-12-03. Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative. https://doi.org/10.1080/01630563.2011.647197

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