Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5499694 | Chaos, Solitons & Fractals | 2017 | 8 Pages |
Abstract
In this paper we make use of energy methods to study the Navier-Stokes equations with time-fractional derivative. Such equations can be used to simulate anomalous diffusion in fractal media. In the first step, we construct a regularized equation by using a smoothing process to transform unbounded differential operators into bounded operators and then obtain the approximate solutions. The second part describes a procedure to take a limit in the approximation program to present a global solution to the objective equation.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Yong Zhou, Li Peng, Bashir Ahmad, Ahmed Alsaedi,