The sequential Henstock-Kurzweil delta integral on time scales
In this study, the basic theory of the sequential Henstock-Kurzweil delta integral on time scales will be discussed. First, we give the notion and the elementary properties of this integral; then we show the equivalence of the Henstock-Kurzweil delta ...
Liu Yang, Shao Yabin
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Almost periodic functions on time scales and their properties
In this article, we first propose a concept of almost periodic functions on arbitrary time scales, which is defined by trigonometric polynomial approximations with respect to supremum norm, and study some basic properties of these kinds of functions ...
Li Yongkun, Huang Xiaoli
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Generalized fractional inequalities of the Hermite-Hadamard type for convex stochastic processes [PDF]
A generalization of the Hermite–Hadamard (HH) inequality for a positive convex stochastic process, by means of a newly proposed fractional integral operator, is hereby established.
Nwaeze, Eze R. +1 more
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Dependence on Reynolds number of high-order moments of velocity derivatives in isotropic turbulence [PDF]
The results of a heuristic model of the fine scale structure of homogeneous turbulence are presented. Predictions are made about the way in which flatness and skewness factors of arbitrary order depend upon the Reynolds number of the ...
Saffman, P. G.
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Coupling between pressure and temperature waves in liquid helium [PDF]
Pressure and temperature wave coupling in liquid helium model with thermal ...
Fritz, G. F.
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Some Chebyshev type inequalities on time scales [PDF]
The extension of classical inequalities into time scale aims to generalize these inequalities to make themapplicable to dynamic systems that exhibit both continuous and discrete characteristics. Time-scale calculusis becoming an unavoidable area as it is
Ajega-Akem, Stephen +2 more
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Sites of Biosynthesis of Outer and Inner Membrane Proteins of Neurospora crassa Mitochondria [PDF]
Outer and inner membranes of Neurospora crassa mitochondria were separated by the combined swelling, shrinking, sonication procedure. Membranes were characterized by electron microscopy and by marker enzyme activities.
Aasen A. J. +14 more
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Dynamic Hardy type inequalities via alpha-conformable derivatives on time scales
We prove new Hardy-type $\alpha$-conformable dynamic inequalities on time scales. Our results are proved by using Keller's chain rule, the integration by parts formula, and the dynamic H\"{o}lder inequality on time scales. When $\alpha=1$, then we obtain
El-Deeb, Ahmed A. +2 more
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A Survey of Function Analysis and Applied Dynamic Equations on Hybrid Time Scales. [PDF]
Wang C, Agarwal RP.
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Qualitative analysis of dynamic equations on time scales
In this article, we establish the Picard-Lindelof theorem and approximating results for dynamic equations on time scale. We present a simple proof for the existence and uniqueness of the solution.
Abbas, Syed
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