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

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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.

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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.

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  1. Department of Mathematical Sciences, UAE University, Al-Ain, United Arab Emirates

    Muhammed I. Syam

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Correspondence to Muhammed I. Syam.

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Syam, M.I. Analytical Solution of the Fractional Initial Emden–Fowler Equation Using the Fractional Residual Power Series Method. Int. J. Appl. Comput. Math 4, 106 (2018). https://doi.org/10.1007/s40819-018-0538-2

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  • DOI: https://doi.org/10.1007/s40819-018-0538-2

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