Electron. J. Differential Equations, Vol. 2017 (2017), No. 289, pp. 1-6.

Analysis and application of diffusion equations involving a new fractional derivative without singular kernel

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.

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Lihong Zhang
School of Mathematics and Computer Science
Shanxi Normal University
Linfen, Shanxi 041004, China
email: zhanglih149@126.com
Bashir Ahmad
Department of Mathematics
Faculty of Science
King Abdulaziz University P.O. Box. 80203
Jeddah 21589, Saudi Arabia
email: bashirahmad_qau@yahoo.com
Guotao Wang
School of Mathematics and Computer Science
Shanxi Normal University
Linfen, Shanxi 041004, China
email: wgt2512@163.com

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