Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative

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.

Detalhes bibliográficos
Autor principal: Pooseh, S. (author)
Outros Autores: Almeida, R. (author), Torres, D. F. M. (author)
Formato: article
Idioma:eng
Publicado em: 2014
Assuntos:
Texto completo:http://hdl.handle.net/10773/11653
País:Portugal
Oai:oai:ria.ua.pt:10773/11653