Analysis and application of diffusion equations involving a new fractional derivative without singular kernel
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Date
2017-11-21
Authors
Zhang, Lihong
Ahmad, Bashir
Wang, Guotao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Caputo-Fabrizio derivative, Maximum principle, Multi-term time fractional diffusion equations
Citation
Zhang, L., Ahmad, B., & Wang, G. (2017). Analysis and application of diffusion equations involving a new fractional derivative without singular kernel. <i>Electronic Journal of Differential Equations, 2017</i>(289), pp. 1-6.
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Attribution 4.0 International