Lie Symmetry Analysis and Conservation Laws for the Time Fractional Biased Random Motion Equation

Resumen

In this paper, the Lie group method is applied. The group generators are obtained for the time fractional Biased random motion equation. They are employed to reduce the studied fractional equation with Riemann-Liouville fractional time derivatives to a family of fractional ordinary differential equations and in some particular cases with Erd\'elyi-Kober fractional operator. Moreover, some exact solutions and conserved quantities are given.