Abstract
The purpose of this paper is to consider the Cauchy problem for the time-fractional (both sub- and super-diffusive) relativistic diffusion equation. Based on the viewpoint of theory of pseudo-differential operators, we regard the equation as a pseudo-differential equation, and we act the equation via the space–time transform. The solution is expressed as the convolution of the Green’s function (heat kernel) and the initial data. The Green’s functions are determined by their Fourier transforms, and are written in terms of Mittag-Leffler functions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Pseudo-Differential Operators and Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
