An Expansion Formula with Higher-Order Derivatives for Fractional Operators of Variable Order

We obtain approximation formulas for fractional integrals and derivatives of Riemann-Liouville and Marchaud types with a variable fractional order. The approximations involve integer-order derivatives only. An estimation for the error is given. The efficiency of the approximation method is illustrat...

Full description

Bibliographic Details
Main Authors: Ricardo Almeida, Delfim F. M. Torres
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/915437