Approximate Solution to the Fractional Second Type Lane-Emden Equation
| Autor: | Abdel-Salam, E. A., Nouh, M. I. |
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| Rok vydání: | 2015 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10511-016-9445-6 |
| Popis: | 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. Comment: 13 pages, 3 figures |
| Databáze: | arXiv |
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