TY - JOUR
TI - On numerical solutions for the Caputo-Fabrizio fractional heat-like equation
AU - Körpinar Zeliha
JN - Thermal Science
PY - 2018
VL - 22
IS - 11
SP - 87
EP - 95
PT - Article
AB - In this article, Laplace homotopy analysis method in order to solve fractional heat-like equation with variable coefficients, are introduced. Laplace homotopy analysis method, founded on combination of homotopy methods and Laplace transform is used to supply a new analytical approximated solutions of the fractional partial differential equations in case of the Caputo-Fabrizio. The solutions obtained are compared with exact solutions of these equations. Reliability of the method is given with graphical consequens and series solutions. The results show that the method is a powerfull and efficient for solving the fractional heat-like equations with variable coefficients.