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This work implements a novel analytical approach known as the q-Homotopy Analysis Shehu Transform Method to the time-fractional Fornberg–Whitham equation in Caputo’s sense. The proposed method combines the idea of the q-Homotopy analysis method with the Shehu transform to enhance the efficacy of the proposed method. To demonstrate the correctness of the proposed method, the convergence analysis of the method has been obtained along with its term approximations. Finally, the obtained numerical solution is compared with the available Laplace Adomian decomposition method (LADM) solution and with the exact answer to test the efficiency of the q-HAShTM through the control parameter ħ and n.