Green Functions of the First Boundary-Value Problem for a Fractional Diffusion—Wave Equation in Multidimensional Domains

Green Functions of the First Boundary-Value Problem for a Fractional Diffusion—Wave Equation in Multidimensional Domains

We construct the Green function of the first boundary-value problem for a diffusion-wave equation with fractional derivative with respect to the time variable. The Green function is sought in terms of a double-layer potential of the equation under consideration. We prove a jump relation and solve an...

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Bibliographic Details
Main Author: Arsen Pskhu
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Mathematics
Subjects:
diffusion-wave equation
boundary-value problem
green function
double-layer potential
fractional derivative
dzhrbashyan–nersesyan operator
Online Access:https://www.mdpi.com/2227-7390/8/4/464

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