Approximate Solution to the Fractional Second-Type Lane-Emden Equation

被引：16
|
作者：
Abdel-Salam, E. A-B [1 ,2 ]
Nouh, M. I. [1 ,3 ]
机构：
[1] Northern Border Univ, Fac Sci, Ar Ar, Saudi Arabia
[2] Assiut Univ, Fac Sci, New Valley Branch, El Kharja, Egypt
[3] Natl Res Inst Astron & Geophys, Cairo, Egypt
来源：
ASTROPHYSICS | 2016年 / 59卷 / 03期
关键词：
isothermal gas sphere: fractal index: nonlinear fractional differential equation: modified Riemann-Liouville derivative; CALCULUS;
D O I：
10.1007/s10511-016-9445-6
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The spherical isothermal Lane-Emden equation is a second-order nonlinear differential equation that models many configurations in astrophysics. Using the fractal index technique and the power series expansion, we solve the fractional Lane-Emden equation involving the modified Riemann-Liouville derivative. The results indicate that the series converges over the range of radii 0aecurrency signx < 2200 for a wide spread of values for the fractional parameter alpha. Comparison with the numerical solution reveals good agreement with a maximum relative error of 0.05.
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页码：398 / 410
页数：13
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