Numerical solution of nonlinear delay differential equations of fractional order in reproducing kernel Hilbert space
Applied Mathematics and Computation(2015)
摘要
In this paper, approximate solutions to a class of fractional differential equations with delay are presented by using a semi-analytical approach in Hilbert function space. Further, the uniqueness of the solution is proved in the space of real-valued continuous functions, as well as the existence of the solution is proved in Hilbert function space. We also prove convergence and perform an analysis error for the proposed approach. Sophisticated delay differential equations of fractional order are considered as test examples. Numerical results illustrate the efficiency of the proposed approach computationally.
更多查看译文
关键词
Hilbert function space,Reproducing kernel,Existence,Uniqueness,Convergence
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络