Progress in Fractional Differentiation & Applications

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Several methods solve linear fractional partial differential equations. In this paper, it is presented a fractional model of the liquid-film mass transfer equation to compare numerical solution between fractional and simple model of the equation. Then the approximate of the generalized differential transform method is compared with the exact solution of the equation in integer orders. Furthermore, the approximates will be obtained in the fractional orders by limiting the intervals of the coefficient and variables. The results show that we can achieve the same result with the proposed fractional model and the method has a high accuracy.

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