Lihong Zhang, Bashir Ahmad, Guotao Wang
Abstract:
In this article, a family of nonlinear diffusion equations involving
multi-term Caputo-Fabrizio time fractional derivative is investigated.
Some maximum principles are obtained. We also demonstrate the application
of the obtained results by deriving some estimation for solution to
reaction-diffusion equations.
Submitted September 21, 2017. Published November 21, 2017.
Math Subject Classifications: 26A33, 35B05, 35B50.
Key Words: Caputo-Fabrizio derivative; maximum principle;
multi-term time fractional diffusion equations.
Show me the PDF file (181 KB), TEX file for this article.
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Lihong Zhang School of Mathematics and Computer Science Shanxi Normal University Linfen, Shanxi 041004, China email: zhanglih149@126.com |
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Bashir Ahmad Department of Mathematics Faculty of Science King Abdulaziz University P.O. Box. 80203 Jeddah 21589, Saudi Arabia email: bashirahmad_qau@yahoo.com |
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Guotao Wang School of Mathematics and Computer Science Shanxi Normal University Linfen, Shanxi 041004, China email: wgt2512@163.com |
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