A computational approach with residual error analysis for the fractional-order biological population model

In this study, a fractional Bernstein series solution method has been submitted to solve the fractional-order biological population model with one carrying capacity. The numerical implemented by an effective algorithm written on computer algebraic system Maple 15. An error-bound analysis is performed using process similar RK45 method. error estimation technique relating residual function presented. application, variations in of prey and predator respect time situations these two species relative each other are plotted. outputs obtained from our compared homotopy perturbation Sumudu transform reproducing kernel Hilbert space approximate solutions gained consistent those methods. advantage that it requires less computational cost methods involving more complex operations.