Symmetries and Group-invariant Solutions of Nonlinear Fractional Differential Equations
نویسندگان
چکیده
In the paper, methods of Lie group analysis are applied to investigate symmetry properties of some classes of nonlinear fractional differential equations. For class of equations Dy = f(x, y), 0 < α < 1, the problem of group classification is solved. Symmetry properties of equations D t u = (k(u)ux)x, 0 < α ≤ 2 for different orders of α are compared. Obtained symmetries are used to construct exact solutions of the equations under consideration.
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تاریخ انتشار 2008