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.

中文翻译：

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分数阶微分方程非线性系统的终值问题

本文研究了分数阶非线性系统的终值问题。存在性和唯一性被赋予。在加权空间中获得解的规律性。在分级网格上提出了离散分段多项式配置方法。给出了收敛分析和顺序。说明了用于支持人口模型的理论结果和应用的数值示例。