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Title: Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative
Author: Pooseh, S.
Almeida, R.
Torres, D. F. M.
Keywords: Fractional Calculus
Hadamard fractional integrals
Hadamard fractional derivatives
Numerical approximations
Issue Date: Feb-2012
Publisher: Taylor & Francis
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.
Peer review: yes
DOI: 10.1080/01630563.2011.647197
ISSN: 0163-0563
Appears in Collections:CIDMA - Artigos
DMat - Artigos

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