Maximum principle and its application for the time-fractional diffusion equations

DOI10.2478/s13540-011-0008-6zbMath1273.35297OpenAlexW1963843024MaRDI QIDQ2853349

Yu. F. Luchko

Publication date: 21 October 2013

Published in: Fractional Calculus and Applied Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10525/1685

zbMATH Keywords

time-fractional diffusion equationextremum principleCaputo fractional derivative generalized Riemann-Liouville fractional derivative initial-boundary-value problems maximum principle uniqueness resultstime-fractional diffusion equation of distributed ordertime-fractional multi-term diffusion equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Parabolic equations and parabolic systems (35K99) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Fractional partial differential equations (35R11)

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