On the maximum principle for the multi-term fractional transport equation

Yuri Luchko, Anna Suzuki, Masahiro Yamamoto

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number125579
JournalJournal of Mathematical Analysis and Applications
Volume505
Issue number1
DOIs
Publication statusPublished - 2022 Jan

Keywords

  • Cauchy problem
  • Comparison principle
  • Initial-boundary-value problem
  • Maximum principle
  • Space-time-fractional multi-term transport equation
  • Time-fractional transport equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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