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.

引用

页码：398 / 410

页数：13

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