A different approach for study some fractional evolution equations

In this paper, fractional nonlinear-coupled evolution equations and fractional the dimensionless wave equation are proposed and discussed. An efficient algorithm, the q-homotopy analysis transform method, was used to solve such problems. The algorithm used gives an approximate solution in the form of a convergent series, which is somewhat similar to the exact solution while reducing the difficulty of many other approaches. The uniqueness theorem of the expected problem is discussed. The normal frequency of the fractional solution to this problem varies according to the difference of the fractional derivative.