فهرست نشریات علمی دسترسی آزاد ایران

In this paper, we introduce a semi-analytical method called the Laplace optimized decomposition method, abbreviated as LODM, for solving a model of a nonlinear ordinary differential equation describing the growth of population, the so-called Logistic equation with the fractional-order type, using the Caputo fractional derivative sense. The proposed technique combines the Laplace transform (LT) with a new technique called the optimized decomposition method (ODM). The results obtained by this method have been compared with those obtained by other methods. Finally, we demonstrate our numerical results with the help of tables and figures.