Yuri Luchko, Anna Suzuki, Masahiro Yamamoto
Published 2021-03-11Version 1
In this paper, we prove a maximum principle for the general multi-term space-time-fractional transport equation and apply it for establishing uniqueness of solution to an initial-boundary-value problem for this equation. We also derive some comparison principles for solutions to the initial-boundary-value problems with different problem data. Finally, we present a maximum principle for the Cauchy problem for a time-fractional transport equation on an unbounded domain.
On the maximum principle for a time-fractional diffusion equation
Maximum principle and its application for the nonlinear time-fractional diffusion equations with Cauchy-Dirichlet conditions
Maximum principle and one-sign solutions for the elliptic $p$-Laplacian
![QR code for arXiv:2103.06582 [math.AP]](http://oss.arxitics.com/images/favicon.svg)