Journal
NONLINEAR DYNAMICS
Volume 80, Issue 1-2, Pages 447-455Publisher
SPRINGER
DOI: 10.1007/s11071-014-1881-4
Keywords
Fractional ordinary differential equations; Lie symmetry analysis; Mittag-Leffler function; Riemann-Liouville fractional derivative
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Funding
- Council of Scientific and Industrial Research (CSIR), Government of India, New Delhi
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A systematic method is given to derive Lie point symmetries of nonlinear fractional ordinary differential equations and illustrate its applicability through the fractional Riccati equation and nonlinear fractional ordinary differential equation of Lienard type with Riemann-Liouville fractional derivative. Using the obtained Lie point symmetries, we construct their exact solutions wherever possible.
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