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.

引用

页数：9

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