Skip to Main content Skip to Navigation
Journal articles

Approximation of fractional integrals by means of derivatives

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 $C^n$, $n \in \mathbb{N}$, 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.
Complete list of metadata

https://hal.inria.fr/hal-00724720
Contributor : Estelle Bouzat <>
Submitted on : Wednesday, August 22, 2012 - 2:17:42 PM
Last modification on : Tuesday, June 1, 2021 - 9:50:04 PM

Links full text

Identifiers

Collections

Citation

Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres. Approximation of fractional integrals by means of derivatives. Computers & Mathematics with Applications, Elsevier, 2012, ⟨10.1016/j.camwa.2012.01.068⟩. ⟨hal-00724720⟩

Share

Metrics

Record views

152