  We present the applycation of theory of Lie group analysis with
$\psi$-Riemann-Liouville fractional derivative detailing the construction of
infinitesimal prolongation to obtain Lie symmetries. In additional, is
addressed the invariance condition without the need to impose that the lower
limit of fractional integral is fixed. We find an expression that expands the
knowledge regarding the study of exact solutions for fractional differential
equations. We use of the framework developed in \cite{zaky2022note} to present
our understanding of the extension of $\psi$-Riemann-Liouville fractional
derivative. It is demonstrate the Leibniz type rule for the derivative operator
in question for built the prolongation. At last, we calculate the Lie
symmetries of the generalized Burgers equation and fractional porous medium
equation.
