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

Yuri Luchko, Anna Suzuki, Masahiro Yamamoto

研究成果: Article査読

抄録

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.

本文言語English
論文番号125579
ジャーナルJournal of Mathematical Analysis and Applications
505
1
DOI
出版ステータスPublished - 2022 1

ASJC Scopus subject areas

  • 分析
  • 応用数学

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