期刊
NONLINEAR DYNAMICS
卷 89, 期 1, 页码 305-319出版社
SPRINGER
DOI: 10.1007/s11071-017-3455-8
关键词
Fractional ordinary differential equations; Lie group formalism; Riemann-Liouville fractional derivative; Laplace transformation technique
资金
- University Grants Commission, New Delhi through Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai
- University Grants Commission Emeritus Fellowship (New Delhi)
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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