Solutions of Fractional Diffusion-Wave Equations in Terms of H-functions

Boyadjiev, Lyubomir, and Al-Saqabi, Bader. "Solutions of Fractional Diffusion-Wave Equations in Terms of H-functions." Mathematica Balkanica New Series 26.1-2 (2012): 35-48. <http://eudml.org/doc/281502>.

@article{Boyadjiev2012,
abstract = {MSC 2010: 35R11, 42A38, 26A33, 33E12The method of integral transforms based on joint application of a fractional generalization of the Fourier transform and the classical Laplace transform is utilized for solving Cauchy-type problems for the time-space fractional diffusion-wave equations expressed in terms of the Caputo time-fractional derivative and the Weyl space-fractional operator. The solutions obtained are in integral form whose kernels are Green functions expressed in terms of the Fox H-functions. The results derived are of general nature and include already known results as particular cases.},
author = {Boyadjiev, Lyubomir, Al-Saqabi, Bader},
journal = {Mathematica Balkanica New Series},
keywords = {Caputo fractional derivative; fractional diffusion-wave equations; Laplace transform; fractional Fourier transform},
language = {eng},
number = {1-2},
pages = {35-48},
publisher = {Bulgarian Academy of Sciences - National Committee for Mathematics},
title = {Solutions of Fractional Diffusion-Wave Equations in Terms of H-functions},
url = {http://eudml.org/doc/281502},
volume = {26},
year = {2012},
}

TY - JOUR
AU - Boyadjiev, Lyubomir
AU - Al-Saqabi, Bader
TI - Solutions of Fractional Diffusion-Wave Equations in Terms of H-functions
JO - Mathematica Balkanica New Series
PY - 2012
PB - Bulgarian Academy of Sciences - National Committee for Mathematics
VL - 26
IS - 1-2
SP - 35
EP - 48
AB - MSC 2010: 35R11, 42A38, 26A33, 33E12The method of integral transforms based on joint application of a fractional generalization of the Fourier transform and the classical Laplace transform is utilized for solving Cauchy-type problems for the time-space fractional diffusion-wave equations expressed in terms of the Caputo time-fractional derivative and the Weyl space-fractional operator. The solutions obtained are in integral form whose kernels are Green functions expressed in terms of the Fox H-functions. The results derived are of general nature and include already known results as particular cases.
LA - eng
KW - Caputo fractional derivative; fractional diffusion-wave equations; Laplace transform; fractional Fourier transform
UR - http://eudml.org/doc/281502
ER -