  In present work, we investigate the numerical solution of time-fractional
Jaulent Miodek (JM) equations with the aid of two novel techniques namely,
coupled fractional reduced differential transform method (CFRDTM) and
q-homotopy analysis transform method (q-HATM). The obtained solutions are
presented in a series form, which are converges rapidly. In order to verify the
proposed techniques are reliable and accurate, the numerical simulations have
been conducted in terms of absolute error. The obtained solutions are presented
graphically to ensure the applicability and validity of the considered
algorithms. The results of the study reveal that, the q-HATM is computationally
very effective and accurate as compared to CFRDTM to analyse fractional
nonlinear coupled Jaulent Miodek equations.
