TY - JOUR
TI - Exact solution to non-linear biological population model with fractional order
AU - Bushnaq Samia
AU - Ali Sajjad
AU - Shah Kamal
AU - Arif Muhammad
JN - Thermal Science
PY - 2018
VL - 22
IS - 11
SP - 317
EP - 327
PT - Article
AB - 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 by 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.