Lie point symmetries for a class of fractional order integro-differential equations

The present paper is intended for the investigation of the fractional integro-differential equation. The fractional derivative is considered in both the Caputo and Riemann-Liouville sense. Under some suitable conditions, we construcrt the infinitesimal criterion of invariance for detecting Lie symmetries of these equations. An example is provided to illustrate the main results. This example shows that this approach is easy to implement and accurate when applied to fractional integro-differential equations