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Analytical Solution of the Fractional Initial Emden–Fowler Equation Using the Fractional Residual Power Series Method

  • Muhammed I. Syam
Original Paper
  • 43 Downloads

Abstract

In this paper, we study the solution of the fractional initial Emden–Fowler equation which is a generalization to the initial Emden–Fowler equation. We implement the fractional power series method (RPS) to approximate the solution of this problem. Several examples are presented to show the accuracy of the presented technique.

Keywords

Fractional Emden–Fowler equation Caputo derivative Generalized Taylor series Residual power series 

Notes

Acknowledgments

The author also would like to express his sincere appreciation to the United Arab Emirates University Research Affairs for the financial support of Grant No. SURE Plus 21. Also, the author would like to express his sincere grateful to the reviewers for their valuable comments.

Compliance with ethical standards

Conflict of interest

The author declares that there is no conflict of interest regarding the publication of this paper.

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Copyright information

© Springer (India) Private Ltd., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematical SciencesUAE UniversityAl-AinUnited Arab Emirates

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