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- W2255280217 abstract "In this work, we propose a new analytical approach based on the generalized differential transform method(GDTM) to solve nonlinear fractional differential equations. In GDTM, it is a key to derive a recurrence relation of generalized differential transform associated with the solution in the given fractional equation. However, it is very challenging to find the recurrence relations of complex nonlinear functions. Moreover, since the GDTM is based on the generalized Taylor series, it is difficult for the GDTM to obtain an accurate approximation in a larger domain. In this work, we propose the new algorithms to construct the recurrence relations of nonlinear functions and to enhance the accuracy of the GDTM in a larger domain. Several illustrative examples are demonstrated to show the effectiveness of the proposed method." @default.
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- W2255280217 date "2012-11-01" @default.
- W2255280217 modified "2023-09-23" @default.
- W2255280217 title "Enhanced analytical approach to solve the nonlinear fractional differential equations" @default.
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