Terminal Value Problems for the Nonlinear Systems of Fractional Differential Equations

Abstract

Terminal value problems of fractional nonlinear systems are studied in this paper. The existence and uniqueness are given. The regularity of the solution is obtained in the weighted spaces. Discretized piecewise polynomial collocation methods are proposed on the graded mesh. A convergence analysis and the order are presented. Numerical examples for supporting theoretical results and applications for population models are illustrated. (C) 2021 IMACS. Published by Elsevier B.V. All rights reserved.