Analytical solution of the generalized space-time fractional ultra-hyperbolic differential equation

被引：1
|
作者：
Dorrego, Gustavo A. [1 ]
机构：
[1] Northeast Natl Univ, Fac Exacts Sci, Dept Math, Corrientes, Argentina
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2022年 / 33卷 / 04期
关键词：
Fractional power; ultra-hyperbolic operator; integrals transforms; Mittag-Leffler type function; Fox's H-function; Hilfer fractional derivative; DIFFUSION-WAVE; MULTIDIMENSIONAL SOLUTIONS; FUNDAMENTAL-SOLUTIONS;
D O I：
10.1080/10652469.2021.1928661
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A generalization of the ultra-hyperbolic time-fractional diffusion-wave equation introduced by the author in Dorrego [The Mittag-Leffler function and its application to the ultra-hyperbolic time-fractional diffusion-wave equation. Integral Transforms Spec. Funct. 2016;27(5):392-404] is presented and studied. The results obtained here extend the previous to the whole space R-n. The problem is solved by applying the integral transforms method and the analytical solution is given by the Fox H-function. Some interesting particular cases are analysed.
引用
收藏
页码：264 / 275
页数：12
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