Solutions of Time Fractional fKdV Equation Using the Residual Power Series Method

Sevil Çulha Ünal

doi:10.17776/csj.1087721

EN

Solutions of Time Fractional fKdV Equation Using the Residual Power Series Method

Abstract

The fifth-order Korteweg-de Vries (fKdV) equation is a nonlinear model in various long wave physical phenomena. The residual power series method (RPSM) is used to gain the approximate solutions of the time fractional fKdV equation in this study. Basic definitions of fractional derivatives are described in the Caputo sense. The solutions of the time fractional fKdV equation with easily computable components are calculated as a quick convergent series. When compared to exact solutions, the RPSM provides good accuracy for approximate solutions. The reliability of the proposed method is also illustrated with the aid of table and graphs. Cleary observed from the results that the suggested method is suitable and simple for similar type of the time fractional nonlinear differential equations.

Keywords

Fractional partial differential equation, Fifth-order Korteweg-de Vries equation, Residual power series method, Caputo derivative, Approximate solutions.

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Sevil Çulha Ünal ^*
0000-0001-7447-9219
Türkiye

Publication Date

September 30, 2022

Submission Date

March 14, 2022

Acceptance Date

August 2, 2022

Published in Issue

Year 2022 Volume: 43 Number: 3

DOI

https://doi.org/10.17776/csj.1087721

IZ

https://izlik.org/JA59MY62TT

APA

Çulha Ünal, S. (2022). Solutions of Time Fractional fKdV Equation Using the Residual Power Series Method. Cumhuriyet Science Journal, 43(3), 468-476. https://doi.org/10.17776/csj.1087721

AMA

1.Çulha Ünal S. Solutions of Time Fractional fKdV Equation Using the Residual Power Series Method. CSJ. 2022;43(3):468-476. doi:10.17776/csj.1087721

Chicago

Çulha Ünal, Sevil. 2022. “Solutions of Time Fractional FKdV Equation Using the Residual Power Series Method”. Cumhuriyet Science Journal 43 (3): 468-76. https://doi.org/10.17776/csj.1087721.

EndNote

Çulha Ünal S (September 1, 2022) Solutions of Time Fractional fKdV Equation Using the Residual Power Series Method. Cumhuriyet Science Journal 43 3 468–476.

IEEE

[1]S. Çulha Ünal, “Solutions of Time Fractional fKdV Equation Using the Residual Power Series Method”, CSJ, vol. 43, no. 3, pp. 468–476, Sept. 2022, doi: 10.17776/csj.1087721.

ISNAD

Çulha Ünal, Sevil. “Solutions of Time Fractional FKdV Equation Using the Residual Power Series Method”. Cumhuriyet Science Journal 43/3 (September 1, 2022): 468-476. https://doi.org/10.17776/csj.1087721.

JAMA

1.Çulha Ünal S. Solutions of Time Fractional fKdV Equation Using the Residual Power Series Method. CSJ. 2022;43:468–476.

MLA

Çulha Ünal, Sevil. “Solutions of Time Fractional FKdV Equation Using the Residual Power Series Method”. Cumhuriyet Science Journal, vol. 43, no. 3, Sept. 2022, pp. 468-76, doi:10.17776/csj.1087721.

Vancouver

1.Sevil Çulha Ünal. Solutions of Time Fractional fKdV Equation Using the Residual Power Series Method. CSJ. 2022 Sep. 1;43(3):468-76. doi:10.17776/csj.1087721

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