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

Nikolova, Yanka, and Boyadjiev, Lyubomir. "Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation." Fractional Calculus and Applied Analysis 13.1 (2010): 57-68. <http://eudml.org/doc/219515>.

@article{Nikolova2010,
abstract = {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.},
author = {Nikolova, Yanka, Boyadjiev, Lyubomir},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Caputo Fractional Derivative; Fractional Diffusion Equation; Laplace Transform; Fractional Fourier Transform; Caputo fractional derivative; fractional diffusion equation; Laplace transform; fractional Fourier transform},
language = {eng},
number = {1},
pages = {57-68},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation},
url = {http://eudml.org/doc/219515},
volume = {13},
year = {2010},
}

TY - JOUR
AU - Nikolova, Yanka
AU - Boyadjiev, Lyubomir
TI - Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation
JO - Fractional Calculus and Applied Analysis
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 13
IS - 1
SP - 57
EP - 68
AB - 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.
LA - eng
KW - Caputo Fractional Derivative; Fractional Diffusion Equation; Laplace Transform; Fractional Fourier Transform; Caputo fractional derivative; fractional diffusion equation; Laplace transform; fractional Fourier transform
UR - http://eudml.org/doc/219515
ER -