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

Nikolova, Yanka; Boyadjiev, Lyubomir

Fractional Calculus and Applied Analysis (2010)

- Volume: 13, Issue: 1, page 57-68
- ISSN: 1311-0454

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topNikolova, 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 -