First and Second Fundamental Solutions of the Time-Fractional Telegraph Equation of Order 2α

被引：0
|
作者：
Ferreira, M. [1 ,2 ]
Rodrigues, M. M. [3 ]
Vieira, N. [3 ]
机构：
[1] Polytech Inst Leiria, Sch Technol & Management, P-2411901 Leiria, Portugal
[2] Univ Aveiro, CIDMA Ctr Res & Dev Math & Applicat, Campus Univ Santiago, P-3810193 Aveiro, Portugal
[3] Univ Aveiro, CIDMA Ctr Res & Dev Math & Applicat, Dept Math, Campus Univ Santiago, P-3810193 Aveiro, Portugal
来源：
ICNPAA 2018 WORLD CONGRESS: 12TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES | 2018年 / 2046卷
关键词：
D O I：
10.1063/1.5081599
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we obtain the first and second fundamental solutions of the multidimensional time-fractional equation of order 2 alpha, alpha is an element of]0, 1], where the two time-fractional derivatives are in the Caputo sense. We obtain representations of the fundamental solutions in terms of Hankel transform, double Mellin-Barnes integral, and H-functions of two variables. As an application, the fundamental solutions are used to solve a Cauchy problem, and to study telegraph process with Brownian time.
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页数：9
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