Differential transform method for conformable fractional partial differential equations

Iranian Journal of Numerical Analysis and Optimization

مقاله 2، دوره 9، شماره 2 - شماره پیاپی 16، دی 2019، صفحه 17-29   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v9i2.67976

نویسندگان

M. Eslami^{* 1}؛ S.A. Taleghani²

¹University of Mazandarn

²University of Mazandaran

چکیده

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.

کلیدواژه‌ها

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

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