Extended Kudryashov Method for Fractional Nonlinear Differential Equations

Serife Muge Ege; Emine Misirli

doi:10.36753/mathenot.421751

EN

Extended Kudryashov Method for Fractional Nonlinear Differential Equations

Abstract

In this study, we have propesed the extended Kudryashov method to obtain the exact solutions of nonlinear fractional differential equations. Definiton of modified Riemann Liouville sense fractional derivative is used and the proposed method is applied to two nonlinear fractional differential equations. Analytical solutions including hyperbolic functions are obtained.

Keywords

Fractional nonlinear differential equations,extended Kudryashov method,the space time fractional Zakharov Kuznetsov Benjamin Bona Mahony,the space time fractional Fokas equation

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Serife Muge Ege This is me

Emine Misirli

Publication Date

April 27, 2018

Submission Date

March 29, 2016

Acceptance Date

-

Published in Issue

Year 2018 Volume: 6 Number: 1

DOI

https://doi.org/10.36753/mathenot.421751

IZ

https://izlik.org/JA52NG35JN

APA

Ege, S. M., & Misirli, E. (2018). Extended Kudryashov Method for Fractional Nonlinear Differential Equations. Mathematical Sciences and Applications E-Notes, 6(1), 19-28. https://doi.org/10.36753/mathenot.421751

AMA

1.Ege SM, Misirli E. Extended Kudryashov Method for Fractional Nonlinear Differential Equations. Math. Sci. Appl. E-Notes. 2018;6(1):19-28. doi:10.36753/mathenot.421751

Chicago

Ege, Serife Muge, and Emine Misirli. 2018. “Extended Kudryashov Method for Fractional Nonlinear Differential Equations”. Mathematical Sciences and Applications E-Notes 6 (1): 19-28. https://doi.org/10.36753/mathenot.421751.

EndNote

Ege SM, Misirli E (April 1, 2018) Extended Kudryashov Method for Fractional Nonlinear Differential Equations. Mathematical Sciences and Applications E-Notes 6 1 19–28.

IEEE

[1]S. M. Ege and E. Misirli, “Extended Kudryashov Method for Fractional Nonlinear Differential Equations”, Math. Sci. Appl. E-Notes, vol. 6, no. 1, pp. 19–28, Apr. 2018, doi: 10.36753/mathenot.421751.

ISNAD

Ege, Serife Muge - Misirli, Emine. “Extended Kudryashov Method for Fractional Nonlinear Differential Equations”. Mathematical Sciences and Applications E-Notes 6/1 (April 1, 2018): 19-28. https://doi.org/10.36753/mathenot.421751.

JAMA

1.Ege SM, Misirli E. Extended Kudryashov Method for Fractional Nonlinear Differential Equations. Math. Sci. Appl. E-Notes. 2018;6:19–28.

MLA

Ege, Serife Muge, and Emine Misirli. “Extended Kudryashov Method for Fractional Nonlinear Differential Equations”. Mathematical Sciences and Applications E-Notes, vol. 6, no. 1, Apr. 2018, pp. 19-28, doi:10.36753/mathenot.421751.

Vancouver

1.Serife Muge Ege, Emine Misirli. Extended Kudryashov Method for Fractional Nonlinear Differential Equations. Math. Sci. Appl. E-Notes. 2018 Apr. 1;6(1):19-28. doi:10.36753/mathenot.421751

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Extended Kudryashov Method for Fractional Nonlinear Differential Equations

Abstract

Extended Kudryashov Method for Fractional Nonlinear Differential Equations

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

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