TY - JOUR
T1 - Analytical Solution of the Fractional Initial Emden–Fowler Equation Using the Fractional Residual Power Series Method
AU - Syam, Muhammed I.
N1 - Funding Information:
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.
Publisher Copyright:
© 2018, Springer (India) Private Ltd., part of Springer Nature.
PY - 2018/8/1
Y1 - 2018/8/1
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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U2 - 10.1007/s40819-018-0538-2
DO - 10.1007/s40819-018-0538-2
M3 - Article
AN - SCOPUS:85056708785
SN - 2349-5103
VL - 4
JO - International Journal of Applied and Computational Mathematics
JF - International Journal of Applied and Computational Mathematics
IS - 4
M1 - 106
ER -