TY - JOUR TI - Exact solutions of time fractional heat-like and wave-like equations with variable coefficients AU - Zhang Sheng AU - Zhu Ran AU - Zhang Luyao JN - Thermal Science PY - 2016 VL - 20 IS - 13 SP - 689 EP - 693 PT - Article AB - In this paper, a variable-coefficient time fractional heat-like and wave-like equation with initial and boundary conditions is solved by the use of variable separation method and the properties of Mittag-Leffler function. As a result, exact solutions are obtained, from which some known special solutions are recovered. It is shown that the variable separation method can also be used to solve some others time fractional heat-like and wave-like equation in science and engineering.