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Journal Articles Computers & Mathematics with Applications Year : 2012

Approximation of fractional integrals by means of derivatives

Shakoor Pooseh
  • Function : Author
Ricardo Almeida
  • Function : Author

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.

Dates and versions

hal-00724720 , version 1 (22-08-2012)

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