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.
Type de document :
Article dans une revue
Computer and mathematics with applications, Elsevier, 2012, 〈10.1016/j.camwa.2012.01.068〉
Domaine :

https://hal.inria.fr/hal-00724720
Contributeur : Estelle Bouzat <>
Soumis le : mercredi 22 août 2012 - 14:17:42
Dernière modification le : mercredi 27 juillet 2016 - 14:48:48

Citation

Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres. Approximation of fractional integrals by means of derivatives. Computer and mathematics with applications, Elsevier, 2012, 〈10.1016/j.camwa.2012.01.068〉. 〈hal-00724720〉

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