A Survey on the Recent Results Regarding Maximum Principles for the Time-Fractional Diffusion Equations
- Authors: Yuri Luchko1, Masahiro Yamamoto2
-
View Affiliations Hide AffiliationsAffiliations: 1 Department of Mathematics, TU of Applied Sciences Berlin, Germany. 2 Department of Mathematics, TU of Applied Sciences Berlin, Germany.
- Source: Frontiers in Fractional Calculus , pp 33-69
- Publication Date: March 2018
- Language: English
A Survey on the Recent Results Regarding Maximum Principles for the Time-Fractional Diffusion Equations, Page 1 of 1
< Previous page | Next page > /docserver/preview/fulltext/9781681085999/chapter-2-1.gif
In this chapter, a survey on the recent results regarding the maximum principles for the time-fractional diffusion equations is presented. We formulate the maximum principles for the time-fractional partial differential equations with both the Caputo fractional derivative and the Riemann-Liouville fractional derivative. Along with the single-term time-fractional differential equations, the multi-term equations and the equations of the distributed order are considered. We also discuss some important applications of the maximum principles for the time-fractional diffusion equations including a priori estimates for solutions of the initial-boundaryvalue problems for these equations and uniqueness of their solutions.
-
From This Site
/content/books/9781681085999.chapter-2dcterms_subject,pub_keyword-contentType:Journal105
