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Additionally, this approximated method can solve various different differential equations such as integral, difference, integro-differential and functional differential equations.
In this article, as an extension, the fractional difference co-array (FrDCA) perspective is proposed by introducing two fractional factors, which can generate either fractional difference sensor position or conventional integral difference ones.
Finally, the integral difference of the multifractal spectrum, average multifractal index D MF, between studies I and II (early), II and III (late) and I and III (final) is useful, because it gives the tendency of the spectrum, averaged over all q values.
In the literature, the terms 'oxygen debt' and 'oxygen deficit' are used interchangeably and are defined as the integral difference between the prehemorrhage/pretrauma resting normal VO2 and the VO2 during the hypovolemic, hemorrhage period [ 4- 9].
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Secondly, we describe how the integral differences of codon usage of the considered species were measured.
Again, the absolute errors between these estimated profiles and the reference profiles are given in Figure 11, along with the integral differences for each profile, and their sum per case.
the above integral-difference formula can be written as (2.15).
Equating the derivatives and, we get the following integral-difference formula: (2.13).
As an important part of discrete mathematics, more recently, some researchers devoted their attention to the study of the fractional q-difference calculus, they developed the q-analogs of fractional integral and difference operators properties, the q-Mittag-Leffler function [15], q-Laplace transform, q-Taylor's formula, etc. [16].
Relevant theory about fractional q-difference calculus has been established [16], such as q-analogues of integral and difference fractional operators properties as Mittag-Leffler function [17], q-Laplace transform, q-Taylor's formula [18, 19], just to mention some.
The Banach contraction principle [1] is a simple and powerful result including iterative methods for solving linear, nonlinear, differential, integral, and difference equations.
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