علی حاجی بدلی

In this paper, we use the symmetry of the Lie group analysis as one of the powerful tools which that deals with the wide class of fractional order differential equation in the Riemann-Liouville (RL) concept. In the current page, first, we employ the classical and non-classical Lie symmetries (LS) to acquire similarity reductions of nonlinear fractional far field Korteweg-de Vries (KDV) equation and second, we find the related exact solutions for the derived generators. Finally, according to the Lie symmetry generators acquired, we construct conservation laws (cl) for related classical and non-classical vector fields of fractional far field KdV equation.