Fundamental solutions of the time fractional diffusion-wave and parabolic Dirac operators

In this paper we study the multidimensional time fractional diffusion-wave equation where the time fractional derivative is in the Caputo sense with order $\beta \in ]0,2].$ Applying operational techniques via Fourier and Mellin transforms we obtain an integral representation of the fundamental solu...

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Bibliographic Details
Main Author: Ferreira, Milton dos Santos (author)
Other Authors: Vieira, Nelson Felipe Loureiro (author)
Format: article
Language:eng
Published: 2017
Subjects:
Fractional Laplace operator
Riemann-Liouville fractional derivatives
Eigenfunctions
Mittag-Leffler function
Time fractional diffusion-wave operator
Time fractional parabolic Dirac operator
Fundamental solutions
Caputo fractional derivative
Fractional moments
Online Access:http://hdl.handle.net/10773/16282
Country:Portugal
Oai:oai:ria.ua.pt:10773/16282

Internet

http://hdl.handle.net/10773/16282

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