The current paper focuses on finding the exact solution of the nonlinear fractional biological population equation under Caputo’s fractional operator by involving a new hybrid technique known as the Khalouta reduced differential transform method (KHRDTM). The exact solution is described in terms of the Mittag-Leffler functions. Moreover, the presented method is a powerful tool for solving a huge number of problems. The accuracy of the proposed technique is evaluated with the help of some examples and the results obtained are compared with the previous results of the techniques in the literature.