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

被引：0
|
作者：
E. A-B. Abdel-Salam
M. I. Nouh
机构：
[1] Northern Border University,Faculty of Science
[2] Assiut University,Faculty of Science
[3] National Research Institute of Astronomy and Geophysics,undefined
来源：
Astrophysics | 2016年 / 59卷
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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 0≤x< 2200 for a wide spread of values for the fractional parameter α. 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：12
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