Analytical solutions to multi-term time-space Caputo-Riesz fractional diffusion equations on an infinite domain

被引：7
|
作者：
Sin, Chung-Sik [1 ]
Ri, Gang-Il [1 ]
Kim, Mun-Chol [1 ]
机构：
[1] Kim Il Sung Univ, Fac Math, Pyongyang, Taesong Distric, North Korea
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
关键词：
analytical solution; Caputo fractional derivative; Riesz fractional derivative; multi-term fractional diffusion equation; multivariate Mittag-Leffler function; ANOMALOUS DIFFUSION; GUIDE;
D O I：
10.1186/s13662-017-1369-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper deals with the Cauchy problem for the multi-term time-space fractional diffusion equation in one dimensional space. The time fractional derivatives are defined as Caputo fractional derivatives and the space fractional derivative is defined in the Riesz sense. Firstly the domain of the fractional Laplacian is extended to a Banach space. Then the analytical solutions are established by using the Luchko theorem and the multivariate Mittag-Leffler function.
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收藏
页数：9
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