Exact solution to non-linear biological population model with fractional order

Samia Bushnaq, Sajjad Ali, Kamal Shah, Muhammad Arif
2018 Thermal Science  
Original scientific paper https://doi.org/10.2298/TSCI171127035B In this paper, optimal homotopy asymptotic method has been extended to seek out the exact solution of fractional generalized biological population models. The time fractional derivatives are described in the Caputo sense. It optimal homotopy asymptotic method is a new approach for fractional models. The proposed approach presents a procedure by that we have transferred the model to a series of simpler problems which are solvable
more » ... hand work applying the Riemann-Liouville fractional integral operator and obtained exact solution of fractional the generalized biological population by adding the solutions of first three simple problems of the series of simpler problems. The new approach provides exact solution in the way of smoothly convergent series.
doi:10.2298/tsci171127035b fatcat:6xi2gz2aebfwnhxy6qqmv54te4