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

• Autor(es): Pooseh, S. ; Almeida, R. ; Torres, D. F. M.
• Data: 2012
• Identificador Persistente: http://hdl.handle.net/10773/11653
• Origem: RIA - Repositório Institucional da Universidade de Aveiro
• Assunto(s): Fractional Calculus; Hadamard fractional integrals; Hadamard fractional derivatives; Numerical approximations
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

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.