Generalized Kudryashov Method for Time-Fractional Differential Equations

الملخص EN

In this study, the generalized Kudryashov method (GKM) is handled to find exact solutions of time-fractional Burgers equation, time-fractional Cahn-Hilliard equation, and time-fractional generalized third-order KdV equation.

These time-fractional equations can be turned into another nonlinear ordinary differantial equation by travelling wave transformation.

Then, GKM has been implemented to attain exact solutions of time-fractional Burgers equation, time-fractional Cahn-Hilliard equation, and time-fractional generalized third-order KdV equation.

Also, some new hyperbolic function solutions have been obtained by using this method.

It can be said that this method is a generalized form of the classical Kudryashov method.