Abstract
In this paper, we introduce an analytical approximate solution of nonlinear fractional Volterra population growth model based on the Caputo fractional derivative and the Riemann fractional integral of the symmetry order. The residual power series method and Adomain decomposition method are implemented to find an approximate solution of this problem. The convergence analysis of the proposed technique has been proved. A numerical example is given to illustrate the method.
Highlights
In recent years, fractional calculus appears frequently in the context of mathematical modeling in various branches of science and engineering such as robotics [1], control theory [2], signal processing [3], economics [4], viscoelasticity [5]
Motivated by the existing methods, the main objective of this paper is to study the nonlinear fractional Volterra population growth model using the residual power series method and the Adomian decomposition method
We proposed a computational method called the modified residual power series method (MRPSM) for solving nonlinear fractional Volterra population growth model
Summary
Fractional calculus appears frequently in the context of mathematical modeling in various branches of science and engineering such as robotics [1], control theory [2], signal processing [3], economics [4], viscoelasticity [5]. We consider the following nonlinear fractional Volterra population growth model of the form: κDtα u(t) = u(t) − u2 (t) − u(t) I α u(t), α ∈ Motivated by the existing methods, the main objective of this paper is to study the nonlinear fractional Volterra population growth model using the residual power series method and the Adomian decomposition method. This method is called modified residual power series method (MRPSM).
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