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

Muhammed I. Syam

doi:10.1007/s40819-018-0538-2

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

Muhammed I. Syam

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

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.

Original language	English
Article number	106
Journal	International Journal of Applied and Computational Mathematics
Volume	4
Issue number	4
DOIs	https://doi.org/10.1007/s40819-018-0538-2
Publication status	Published - Aug 1 2018

Keywords

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

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/s40819-018-0538-2

Cite this

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title = "Analytical Solution of the Fractional Initial Emden–Fowler Equation Using the Fractional Residual Power Series Method",

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

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N2 - 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.

AB - 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.

KW - Caputo derivative

KW - Fractional Emden–Fowler equation

KW - Generalized Taylor series

KW - Residual power series

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JO - International Journal of Applied and Computational Mathematics

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

Abstract

Keywords

ASJC Scopus subject areas

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