Approximate analytical solution to fractional modified KdV equations

In this paper, the fractional modified Korteweg–de Vries equation (fmKdV) is introduced by replacing the first-order time and space derivatives by fractional derivatives of order α and β with 0 < α , β ≤ 1 . The homotopy-perturbation method (HPM) is applied to derive approximate analytical solutions to fmKdV.