Expansion formulas in terms of integer-order derivatives for the Hadamard fract...

• Author(s): Pooseh, S. ; Almeida, R. ; Torres, D. F. M.
• Date: 2012
• Persistent ID: http://hdl.handle.net/10773/11653
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): Fractional Calculus; Hadamard fractional integrals; Hadamard fractional derivatives; Numerical approximations
• Document Type: Article
• Language: English

Description

We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given. Numerical simulations show the efficiency of the approximation method.