Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation


Autoria(s): Nikolova, Yanka; Boyadjiev, Lyubomir
Data(s)

11/06/2012

11/06/2012

2010

Resumo

Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.

The method of integral transforms based on using a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problem for the time-space fractional diffusion equation expressed in terms of the Caputo time-fractional derivative and a generalized Riemann-Liouville space-fractional derivative.

Identificador

Fractional Calculus and Applied Analysis, Vol. 13, No 1, (2010), 57p-68p

1311-0454

http://hdl.handle.net/10525/1642

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Caputo Fractional Derivative #Fractional Diffusion Equation #Laplace Transform #Fractional Fourier Transform
Tipo

Article