Differential transform method for conformable fractional partial differential equations

Document Type : Research Article

Authors

• M. Eslami ¹
• S.A. Taleghani ²

¹ University of Mazandarn

² University of Mazandaran

10.22067/ijnao.v9i2.67976

Abstract

We expand a new generalization of the two-dimensional differential trans form method. The new generalization is based on the two-dimensional differential 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 presented to illustrate the preciseness and effectiveness of the new technique.

Keywords

• Conformable fractional derivative
• Differential Transform Method
• two-dimensional differential transform method

20.1001.1.24236977.2019.9.2.2.7

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