Multidimensional Time Fractional Diffusion Equation

M. Ferreira () and N. Vieira ()
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M. Ferreira: Polytechnic Institute of Leiria, School of Technology and Management
N. Vieira: University of Aveiro, CIDMA - Center for Research and Development in Mathematics and Applications, Department of Mathematics

Chapter Chapter 10 in Integral Methods in Science and Engineering, Volume 1, 2017, pp 107-117 from Springer

Abstract: 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 with generalized thermoelasticity theory.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-59384-5_10

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DOI: 10.1007/978-3-319-59384-5_10

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