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It is shown that if the fraction of a nonzero signal's energy on a finite interval in one fractional domain with a certain angle α is specified, then the fraction of its energy on a finite interval in other fractional domain with any angle β must remain below a certain maximum.
Section Improved LSM using LUT presents the improved LSM based on the LUT, which is expressed as one fractional equation like the LSM.
The paper is concerned with both the modeling and optimization of systems whose governing equations contain at least one fractional derivative operator.
In our paper, we study the one fractional differential equation resonance case with (operatorname{dimKer}L = 2), which is obviously different from papers [21, 22] and [23].
The proposed equation is expressed as one fractional equation like the case of LSM, but the modeling result is better because it considers tangential lens distortion as well as radial lens distortion.
That is, an optimal control problem in which either the performance index or the differential equations governing the dynamics of the system or both contain at least one fractional derivative term.
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All surveyed models rely on using at least one fractional-order capacitor in an attempt to accurately capture the underlying electrochemical dynamics.
As far as we know, most of researchers are interested in CSNs constructed by only one fractional-order differential equation for every vertex.
The OCP reduces to a fractional optimal control problem (FOCP) when either the performance index or the dynamic constraints or both include at least one fractional-order derivative term.
The family of degree-one fractional polynomials (which include log (x) and x) were used.
For more recent development on fractional calculus, one can see the monographs [14 21].
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