Exact(7)
The Oustaloup approximation is employed to derive the approximate model of fractional order system.
A closed form formula on the error of approximation is derived to demonstrate the accuracy of the proposed discretization model of fractional derivatives.
Specifically, our aim is to prove generalised versions of the mean value theorem and Taylor's theorem in the AB model of fractional calculus.
With these advantages, the model of fractional order become more and more practical and realistic than the classical of integer order, such effects in the latter are not taken into account.
This paper is dedicated to the study of the reconstruction of scalar fields and their potentials in a newly developed model of fractional action cosmology by El-Nabulsi [4, 5].
In the case of a network with highly homogeneous edge weights, the disparity filter will provide an increasingly accurate model of fractional edge weight distributions (see Figure S1).
Similar(53)
It allow us to get more correct models of fractional nonlocal media by fractional variational principle.
The integer-order approximate modeling of fractional order PID controllers is also illustrated for control applications.
Therefore, it is necessary to consider the time-delay effect in the mathematical modeling of fractional differential equations.
Therefore, it is essential to consider the time-delay effect in the mathematical modeling of fractional differential equations.
In this paper, we presented an effective numerical method and its application to solution of linear and nonlinear models of fractional order used in bioengineering applications.
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