Approximation of fractional integrals by means of derivatives
Classical Analysis and ODEs
2012-10-29 v1 Numerical Analysis
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 , , 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.
Keywords
Cite
@article{arxiv.1201.5224,
title = {Approximation of fractional integrals by means of derivatives},
author = {Shakoor Pooseh and Ricardo Almeida and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1201.5224},
year = {2012}
}
Comments
Submitted 15-10-2011; revised 24-01-2012; accepted 25-01-2012; for publication in Computers and Mathematics with Applications