In this article, the analytical method, Homotopy perturbation method (HPM) has been successfully implemented for solving nonlinear logistic model of fractional order. The fractional derivatives are described in the Caputo sense. Using initial value, the explicit solutions of population size for different particular cases have been derived. Numerical results show that the method is extremely efficient to solve this complicated biological model.
Das, S.; Gupta, P. K.; and Vishal, K.
Approximate Approach to the Das Model of Fractional Logistic Population Growth,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 5,
2, Article 26.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss2/26