期刊
MATHEMATICS
卷 7, 期 5, 页码 -出版社
MDPI
DOI: 10.3390/math7050415
关键词
space-time fractional diffusion equation; fractional Laplacian; subordination principle; Mittag-Leffler function; Bessel function; 26A33; 33E12; 35R11; 47D06
类别
资金
- National Scientific Program Information and Communication Technologies for a Single Digital Market in Science, Education and Security (ICTinSES) - Ministry of Education and Science in Bulgaria [DO1-205/23.11.2018]
- Bulgarian National Science Fund [KPi-06-H22/2]
The fundamental solution to the multi-dimensional space-time fractional diffusion equation is studied by applying the subordination principle, which provides a relation to the classical Gaussian function. Integral representations in terms of Mittag-Leffler functions are derived for the fundamental solution and the subordination kernel. The obtained integral representations are used for numerical evaluation of the fundamental solution for different values of the parameters.
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