Tempered fractional differential equations on hyperbolic space

被引：0
|
作者：
Garra, Roberto [1 ]
Orsingher, Enzo [1 ,2 ]
机构：
[1] Univ Telematica Int, Sect Math, Rome, Italy
[2] Sapienza Univ Rome, Dept Stat Sci, Rome, Italy
来源：
COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS | 2024年 / 15卷 / 02期
关键词：
Tempered fractional derivatives; Hyperbolic geometry; Exact solutions;
D O I：
10.2478/caim-2024-007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study linear fractional differential equations involving tempered Caputo-type derivatives in the hyperbolic space. We consider in detail the three-dimensional case for its simple and useful structure. We also discuss the probabilistic meaning of our results in relation to the distribution of an hyperbolic Brownian motion time-changed with the inverse of a tempered stable subordinator. The generalization to an arbitrary dimension n can be easily obtained. We also show that it is possible to construct a particular solution for the non-linear porous-medium type tempered equation by using elementary functions.
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收藏
页码：3 / 7
页数：5
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