Journal of Applied Nonlinear Dynamics
The Lane - Emden Fractional Homogeneous Differential Equation
Journal of Applied Nonlinear Dynamics 6(2) (2017) 237--242 | DOI:10.5890/JAND.2017.06.008
Constantin Milici$^{1}$; Gheorghe Drăgănescu$^{2}$
$^{1}$ Department of Mathematics, Polytechnic University of Timisoara, Timi¸soara, RO 300222, Romania
$^{2}$ Department of Mechanics, Polytechnic University of Timisoara, Timi¸soara, RO 300222, Romania
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Abstract
In this paper we introduce a nonlinear fractional differential equation of Lane-Emden type. We establish a solution which satisfies the Müntz-Szász theorem conditions in terms of power series. Particular solutions are established for different values of the parameters. A validation of our method is based on a case verified with the aid of a Maple program.
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