TY - JOUR TI - A new fractional derivative model for the anomalous diffusion problem AU - Chen Zhanqing AU - Qiu Peitao AU - Yang Xiao-Jun AU - Feng Yiying AU - Liu Jiangen JN - Thermal Science PY - 2019 VL - 23 IS - 13 SP - 1005 EP - 1011 PT - Article AB - In this paper, a new fractional derivative within the exponential decay kernel is addressed for the first time. A new anomalous diffusion model is proposed to describe the heat-conduction problem. With the use of the Laplace transform, the analytical solution is discussed in detail. The presented result is as an accurate and efficient approach proposed for the heat-conduction problem in the complex phenomena.