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arXiv · 1512.09116

Approximate Solution to the Fractional Second Type Lane-Emden Equation

E. A. Abdel-Salam·M. I. Nouh
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Abstract

The spherical isothermal Lane-Emden equation is a second order non-linear differential equation that model many configurations in astrophysics. In the present paper and based on the fractal index technique and the series expansion, the fractional lane-Emden equation involving modified Riemann-Liouville derivative is solved. The results indicate that, the series converges for the radius range with fractional parameter spreads over a wide range of the fractional parameter . Comparison with the numerical solution revealed a good agreement with a maximum relative error 0.05.

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E. A. Abdel-Salam, M. I. Nouh. 2015-12-30. Approximate Solution to the Fractional Second Type Lane-Emden Equation. https://doi.org/10.1007/s10511-016-9445-6

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