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

被引：2
|
作者：
Javed, Sehrish [1 ]
Malik, Salman A. [1 ]
机构：
[1] COMSATS Univ Islamabad, Dept Math, Pk Rd, Islamabad, Pakistan
来源：
PHYSICA SCRIPTA | 2024年 / 99卷 / 03期
关键词：
Mittag-Leffler function; Laplace transform; fox H-function; fractional derivative; generalized diffusion equation; SPACE-TIME; DIFFERENTIAL-EQUATIONS; RANDOM-WALKS; TRANSFORM;
D O I：
10.1088/1402-4896/ad2250
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：12
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