TY - JOUR TI - Approximate analytic solutions of multi-dimensional fractional heat-like models with variable coefficients AU - Sun Jianshe JN - Thermal Science PY - 2019 VL - 23 IS - 6 SP - 3725 EP - 3729 PT - Article AB - In this work, the fractional power series method (FPSM) is applied to solve the two-dimensional and three-dimensional fractional heat-like models with variable coefficients. The fractional derivatives are described in the Liouville-Caputo sense. The analytical approximate solutions and exact solutions for the two-dimensional and three-dimensional fractional heat-like models with variable coefficients are obtained. It is shown that the proposed method provides a very effective, convenient and powerful mathematical tool for solving fractional differential equations in mathematical physics.