Generalized Kudryashov Method for Time-Fractional Differential Equations
Copyright policy )Generalized Kudryashov Method for Time-Fractional Differential Equations
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.
- Bozok Universitesi Turkey
- Fırat University Turkey
KdV equations (Korteweg-de Vries equations), QA1-939, Fractional partial differential equations, Mathematics
KdV equations (Korteweg-de Vries equations), QA1-939, Fractional partial differential equations, Mathematics
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