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Title: Multidimensional time fractional diffusion equation
Author: Ferreira, Milton dos Santos
Vieira, Nelson Felipe Loureiro
Keywords: Time fractional diffusion operator
Fundamental solutions
Caputo fractional derivative
Issue Date: Sep-2017
Publisher: Birkhäuser
Abstract: In this paper we present integral and series representations for the fundamental solution of the time fractional diffusion equation in an arbitrary dimension. The series representation obtained depends on the parity of the dimension. As an application of our results we study the diffusion and stress in the axially symmetric case for plane deformation associated to generalized thermoelasticity theory.
DOI: 10.1007/978-3-319-59384-5_10
ISBN: 978-3-319-59383-8
Appears in Collections:CIDMA - Capítulo de livro
CHAG - Capítulo de livro

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