## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2014), Article ID 901540, 13 pages.

### Generalized Kudryashov Method for Time-Fractional Differential Equations

Seyma Tuluce Demiray, Yusuf Pandir, and Hasan Bulut

**Full-text: Open access**

#### Abstract

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.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 901540, 13 pages.

**Dates**

First available in Project Euclid: 6 October 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1412607120

**Digital Object Identifier**

doi:10.1155/2014/901540

**Mathematical Reviews number (MathSciNet)**

MR3240569

**Zentralblatt MATH identifier**

1349.65274

#### Citation

Tuluce Demiray, Seyma; Pandir, Yusuf; Bulut, Hasan. Generalized Kudryashov Method for Time-Fractional Differential Equations. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 901540, 13 pages. doi:10.1155/2014/901540. https://projecteuclid.org/euclid.aaa/1412607120

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