Generalized Kudryashov Method for Time-Fractional Differential Equations

Joint Authors

Bulut, Hasan
Tuluce Demiray, Seyma
Pandir, Yusuf

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-07-15

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract 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.

American Psychological Association (APA)

Tuluce Demiray, Seyma& Pandir, Yusuf& Bulut, Hasan. 2014. Generalized Kudryashov Method for Time-Fractional Differential Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1015022

Modern Language Association (MLA)

Tuluce Demiray, Seyma…[et al.]. Generalized Kudryashov Method for Time-Fractional Differential Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1015022

American Medical Association (AMA)

Tuluce Demiray, Seyma& Pandir, Yusuf& Bulut, Hasan. Generalized Kudryashov Method for Time-Fractional Differential Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1015022

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1015022