The Lane - Emden Fractional Homogenous Differential Equation

DOI10.5890/JAND.2017.06.008zbMath1373.34012OpenAlexW2622707036MaRDI QIDQ5373780

Gheorghe Drăgănescu, Constantin Milici

Publication date: 27 October 2017

Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/jand.2017.06.008

zbMATH Keywords

fractional calculusfractional power seriesfractional differential equationLane-Emden differential equation

Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05) Fractional ordinary differential equations (34A08)

Related Items

Fractional Calculus Applications in Modeling and Design of Control Systems ⋮ The Lane - Emden Fractional Homogenous Differential Equation ⋮ Generalization of the equations of Hermite, Legendre and Bessel for the Fractional Case ⋮ Oscillatory behavior of three dimensional \(\alpha\)-fractional delay differential systems

Uses Software

• Maple

Cites Work

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• Effective computation of exact and analytic approximate solutions to singular nonlinear equations of Lane-Emden-Fowler type
• Quasilinear Lane-Emden equations with absorption and measure data
• Non-standard fractional Lagrangians
• The group classification of Lane-Emden systems
• Α Review on Some New Recently Developed Nonlinear Analytical Techniques
• On the Fractional Linear Scale Invariant Systems
• The Lane - Emden Fractional Homogenous Differential Equation
• Generalization of the equations of Hermite, Legendre and Bessel for the Fractional Case