Invariant analysis of nonlinear fractional ordinary differential equations with Riemann-Liouville fractional derivative. (English) Zbl 1345.34003
Summary: 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 Liénard type with Riemann-Liouville fractional derivative. Using the obtained Lie point symmetries, we construct their exact solutions wherever possible.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34C14 | Symmetries, invariants of ordinary differential equations |
| 26A33 | Fractional derivatives and integrals |
Keywords:
fractional ordinary differential equations; Lie symmetry analysis; Mittag-Leffler function; Riemann-Liouville fractional derivativeReferences:
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