Maximum principle and numerical method for the multi-term time–space Riesz–Caputo fractional differential equations
| Data(s) |
15/01/2014
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| Resumo |
The maximum principle for the space and time–space fractional partial differential equations is still an open problem. In this paper, we consider a multi-term time–space Riesz–Caputo fractional differential equations over an open bounded domain. A maximum principle for the equation is proved. The uniqueness and continuous dependence of the solution are derived. Using a fractional predictor–corrector method combining the L1 and L2 discrete schemes, we present a numerical method for the specified equation. Two examples are given to illustrate the obtained results. |
| Formato |
application/pdf |
| Identificador | |
| Publicador |
Elsevier Inc. |
| Relação |
http://eprints.qut.edu.au/82658/1/N7_P25_AMC_YL_P3_Y13m10d25.pdf DOI:10.1016/j.amc.2013.11.015 Ye, H., Liu, F., Anh, V., & Turner, I. (2014) Maximum principle and numerical method for the multi-term time–space Riesz–Caputo fractional differential equations. Applied Mathematics and Computation, 227, pp. 531-540. |
| Direitos |
Copyright 2013 Elsevier Inc. NOTICE: this is the author’s version of a work that was accepted for publication in Applied Mathematics and Computation. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Mathematics and Computation, Volume 227, 15 January 2014, Pages 531–540 DOI 10.1016/j.amc.2013.11.015 |
| Fonte |
School of Mathematical Sciences; Science & Engineering Faculty |
| Palavras-Chave | #010204 Dynamical Systems in Applications #010300 NUMERICAL AND COMPUTATIONAL MATHEMATICS #Multi-term time–space fractional differential equation Riesz–Caputo fractional derivative Maximum principle Predictor–corrector method L1/L2-approximation method |
| Tipo |
Journal Article |
