Explicit solution of general fourth order time fractional KdV equation by lie symmetry analysis

In this research paper, we have discussed a systematic invariance analysis by Lie Symmetry approach to the general time fractional fourth order Korteweg-de-Vries equation (KdV). Similarity reduction transformed the fractional order partial differential equation (FPDEs) into a nonlinear fractional ordinary differential equation with new independent variable. Erdelyi -Kober fractional differential and integral operator depending on parameter ‘α’ implemented to reduce into fractional order ordinary differential equation (FODE). The explicit solution is obtained using power series method, which arise in modeling of many physical problems