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

Shakoor Pooseh Ricardo Almeida Delfim F. M. Torres 1
1 Department of Mathematics
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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Numerical Functional Analysis and Optimization, Taylor & Francis, 2012, 33 (3), pp.301-319. 〈10.1080/01630563.2011.647197〉
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https://hal.inria.fr/hal-00724710
Contributeur : Estelle Bouzat <>
Soumis le : mercredi 22 août 2012 - 13:54:52
Dernière modification le : mercredi 27 juillet 2016 - 14:48:48

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Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres. Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative. Numerical Functional Analysis and Optimization, Taylor & Francis, 2012, 33 (3), pp.301-319. 〈10.1080/01630563.2011.647197〉. 〈hal-00724710〉

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