Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6891995 | Computers & Mathematics with Applications | 2018 | 11 Pages |
Abstract
The conformable fractional derivative was proposed by R. Khalil et al. in 2014, which is natural and obeys the Leibniz rule and chain rule. Based on the properties, a class of time-fractional partial differential equations can be reduced into ODEs using traveling wave transformation. Then the simplest equation method is applied to find exact solutions of some time-fractional partial differential equations. The exact solutions (solitary wave solutions, periodic function solutions, rational function solutions) of time-fractional generalized Burgers equation, time-fractional generalized KdV equation, time-fractional generalized Sharma-Tasso-Olver (FSTO) equation and time-fractional fifth-order KdV equation, (3+1)-dimensional time-fractional KdV-Zakharov-Kuznetsov (KdV-ZK) equation are constructed. This method presents a wide applicability to solve some nonlinear time-fractional differential equations with conformable derivative.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Cheng Chen, Yao-Lin Jiang,