Journal Name:
- International Journal of Innovation and Applied Studies
Author Name | University of Author | Faculty of Author |
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Abstract (2. Language):
In this paper, generalizations Mittag-Leffler function method is applied to solve approximate and analytical
solutions of nonlinear fractional differential equation systems such as lorenz system of fractional oreder, and compared the
results with the results of Homotopy perturbation method (HPM) and Variational iteration method (VIM) in the standard
integer order form. The reason of using fractional order differential equations (FOD) is that fractional order differential
equations are naturally related to systems with memory which exists in most systems. Also they are closely related to fractals
which are abundant in systems. The results derived of the fractional system are of a more general nature. Respectively,
solutions of fractional order differential equations spread at a faster rate than the classical differential equations, and may
exhibit asymmetry. A few numerical methods for fractional differential equations models have been presented in the
literature. However many of these methods are used for very specific types of differential equations, often just linear
equations or even smaller classes put the results generalizations Mittag-Leffler function method show the high accuracy and
efficiency of the approach. A new solution is constructed in power series. The fractional derivatives are described by Caputo’s
sense.
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