TY - JOUR TI - A new general fractional derivative Goldstein-Kac-type telegraph equation AU - Cui Ping AU - Feng Yi-Ying AU - Liu Jian-Gen AU - Geng Lu-Lu JN - Thermal Science PY - 2020 VL - 24 IS - 6 SP - 3893 EP - 3898 PT - Article AB - In this paper, we consider the Riemann-Liouville-type general fractional derivatives of the non-singular kernel of the one-parametric Lorenzo-Hartley function. A new general fractional-order-derivative Goldstein-Kac-type telegraph equation is proposed for the first time. The analytical solution of the considered model with the graphs is obtained with the aid of the Laplace transform. The general fractional-order-derivative formula is as a new mathematical tool proposed to model the anomalous behaviors in complex and power-law phenomena.