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Title: Approximation of fractional integrals by means of derivatives
Author: Pooseh, S.
Almeida, R.
Torres, D. F. M.
Keywords: Fractional integrals
Numerical approximation
Error estimation
Issue Date: 2012
Publisher: Elsevier
Abstract: We obtain a new decomposition of the Riemann-Liouville operators of fractional integration as a series involving derivatives (of integer order). The new formulas are valid for functions of class C-n, n is an element of N, and allow us to develop suitable numerical approximations with known estimations for the error. The usefulness of the obtained results, in solving fractional integral equations and fractional problems of the calculus of variations, is illustrated.
Peer review: yes
DOI: 10.1016/j.camwa.2012.01.068
ISSN: 0898-1221
Appears in Collections:DMat - Artigos

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