TY - JOUR TI - The reproducing kernel for the reaction-diffusion model with a time variable fractional order AU - Zhang Wei AU - Wang Yulan AU - Wang Meichun JN - Thermal Science PY - 2020 VL - 24 IS - 4 SP - 2553 EP - 2559 PT - Article AB - The variable-order fractional calculus has become a useful mathematical frame-work to describe a complex reaction-diffusion process. It is very hard to solve the problem, and there is almost no analytical method available in open literature. In this article, the reproducing kernel method is proposed for this purpose, and some examples show that the method is of high precision.