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

Boyadjiev, Lyubomir; Al-Saqabi, Bader

Mathematica Balkanica New Series (2012)

- Volume: 26, Issue: 1-2, page 35-48
- ISSN: 0205-3217

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topBoyadjiev, 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 -

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