Journal
NONLINEAR DYNAMICS
Volume 89, Issue 1, Pages 305-319Publisher
SPRINGER
DOI: 10.1007/s11071-017-3455-8
Keywords
Fractional ordinary differential equations; Lie group formalism; Riemann-Liouville fractional derivative; Laplace transformation technique
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Funding
- University Grants Commission, New Delhi through Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai
- University Grants Commission Emeritus Fellowship (New Delhi)
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A systematic investigation of finding Lie point symmetries of certain fractional linear and nonlinear ordinary differential equations is presented. More precisely, Lie point symmetries of fractional Riccati equation, nonhomogeneous fractional linear ordinary differential equationwith variable coefficients and quadratic fractional Linard-type equation in the sense of Riemann-Liouville fractional derivative are derived. Using the obtained Lie point symmetries, we derive exact solution of the above-mentioned fractional ordinary differential equations wherever possible.
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