We expand a new generalization of the two-dimensional differential trans- form method. The new generalization is based on the two-dimensional differ- ential transform method, fractional power series expansions, and conformable fractional derivative. We use the new method for solving a nonlinear con- formable fractional partial differential equation and a system of conformable fractional partial differential equation. Finally, numerical examples are pre- sented to illustrate the preciseness and effectiveness of the new technique.
