FRACTIONAL VAN DER POL EQUATION BY ADOMIAN DECOMPOSITION METHOD

  • Sumayah Ghaleb Othman Department of Mathematics Sheba Region University, Yemen
  • Yahya Qaid Hasan Department of Mathematics Sheba Region University, Yemen
DOI: https://doi.org/10.53555/m.v6i12.4046
Keywords: Adomian Decomposition Method, Fractional Van der Pol Equation, Initial Conditions

Abstract

Adomian Decomposition Method (ADM) is successfully used to find the approximate solution of fractional Van der Pol equation. The ADM can be used to solve the ordinary, partial and fractinal differential equations. In this work, we will study fractional Van der Pol equation by (ADM). The numerical resultes of y(x) for the considered fractional Van der Pol equation is obtained.

Downloads

Download data is not yet available.

References

Abushammala M. B. H., Iterative Methods For The Numerical Solutions Of Boundary Value Problems, harjah, United Arab Emirates June 2014.

Cherruault Y. and Adomian G., Decomposition Methods A New Proof Of Con vergence, Mathl. Comput. Modelling .1993;103-106. 1993.

Atay F. M. Van der Pols oscillator under delayed feedback, J. Sound Vibra.1998; 218(2)333-339.

Ramana B.K and Raghu prasad Modied Adomian Decomposition Method for Van der Pol equations. Interational Journal of Non-Linear Mechanics. 2014;1-12.

Sumayah Ghaleb Othman, Yahya Qaid Hasan. Approximate Solution for Van Der Pol Equation by Adomian Decomposition Method, Science and Technology Publishing.2020;297-307

Mishra V., Das S., Jafari H. and, Ong S.H. Study of fracional order Van der pol equation. Journal of King Saud University Science. 2016;28:55-60.

Samko G. Kilbas A. A. Marichev O. I: Fractional Integrals and Derivatives. Theory and Applications, Gordon and Breach, Yverdon, 1993

Published
2020-12-27
How to Cite
Othman, S. G., & Yahya Qaid Hasan. (2020). FRACTIONAL VAN DER POL EQUATION BY ADOMIAN DECOMPOSITION METHOD. IJRDO -JOURNAL OF MATHEMATICS, 6(12), 01-06. https://doi.org/10.53555/m.v6i12.4046
Issue
Vol. 6 No. 12 (2020): IJRDO - Journal of Mathematics (ISSN: 2455-9210)
Section
Articles

Copyright (c) 2020 IJRDO - Journal of Mathematics (ISSN: 2455-9210)

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Author(s) and co-author(s) jointly and severally represent and warrant that the Article is original with the author(s) and does not infringe any copyright or violate any other right of any third parties, and that the Article has not been published elsewhere. Author(s) agree to the terms that the IJRDO Journal will have the full right to remove the published article on any misconduct found in the published article.