| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 766935 | Communications in Nonlinear Science and Numerical Simulation | 2013 | 14 Pages |
Abstract
In this paper, the definitions and operations of the one-dimensional and two-dimensional fractional q-differential transform is proposed. A distinctive feature of the fractional q-differential transform is its ability to solve linear and nonlinear ordinary/partial fractional q-differential equations.
► A new generalization of the differential transform method is developed to solve q-fractional differential equations. ► The definitions and operations of the one-dimensional and two-dimensional fractional q-differential transform is proposed. ► Several concrete problems were tested by applying the new technique and the results have shown remarkable performance.
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Authors
Moustafa El-Shahed, Mohammed Gaber, Maryam Al-Yami,