On the solution of multi-term time fractional diffusion-wave equation involving ultra-hyperbolic operator-Reference-Cited by-同舟云学术

On the solution of multi-term time fractional diffusion-wave equation involving ultra-hyperbolic operator

Published:2024-02-05 Issue:3 Volume:99 Page:035004
ISSN:0031-8949
Container-title:Physica Scripta
language:
Short-container-title:Phys. Scr.

Author:

Javed Sehrish^ORCID,Malik Salman A^ORCID

Abstract

Abstract A diffusion-wave equation with multi-term Hilfer fractional derivatives (HFDs) in time and ultra-hyperbolic operator (UHO) in space has been considered. Fundamental solution of the fractional diffusion-wave equation is obtained by using Laplace and Fourier transform with Mellin-Barnes integral representation. The solution obtained involved the Fox H-function. In addition, we provide some special cases of diffusion-wave equation.

Publisher

IOP Publishing

Link

https://iopscience.iop.org/article/10.1088/1402-4896/ad2250/pdf

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