## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Exact solution to nonlinear biological population model with fractional order

**ABSTRACT**

In this paper, Optimal Homotopy Asymptotic Method (OHAM) 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 (OHAM) 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.

**KEYWORDS**

PAPER SUBMITTED: 2017-11-27

PAPER REVISED: 2017-12-22

PAPER ACCEPTED: 2018-01-03

PUBLISHED ONLINE: 2018-02-18

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