Approximation of fractional integrals by means of derivatives
  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. 
Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres
math.CA math.NA