Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A maximum principle for fractional diffusion differential equations

Authors: C. Y. Chan and H. T. Liu
Journal: Quart. Appl. Math. 74 (2016), 421-427
MSC (2010): Primary 35R11
DOI: https://doi.org/10.1090/qam/1433
Published electronically: June 16, 2016
MathSciNet review: 3518222
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Abstract: A weak maximum principle is established for a fractional diffusion equation involving the Riemann-Liouville fractional derivative. As applications, it is used to prove the uniqueness and the continuous dependence of a solution on the initial data.

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Additional Information

C. Y. Chan
Affiliation: Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010
Email: chan@louisiana.edu

H. T. Liu
Affiliation: Department of Applied Mathematics, Tatung University, 40 Chung Shan North Road, Sec. 3, Taipei, Taiwan 104
Email: tliu@ttu.edu.tw

DOI: https://doi.org/10.1090/qam/1433
Keywords: Maximum principle, fractional diffusion equations, fractional derivatives
Received by editor(s): December 11, 2014
Published electronically: June 16, 2016
Article copyright: © Copyright 2016 Brown University

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