TY - JOUR TI - The piecewise reproducing kernel method for the time variable fractional order advection-reaction-diffusion equations AU - Dai Dan-Dan AU - Ban Ting-Ting AU - Wang Yu-Lan AU - Zhang Wei JN - Thermal Science PY - 2021 VL - 25 IS - 2 SP - 1261 EP - 1268 PT - Article AB - This paper structures some new reproductive kernel spaces based on Legendre polynomials to solve time variable order fractional advection-reaction-diffusion equations. Some examples are given to show the effectiveness and reliability of the method.