Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics

Vosika, Zoran B.; Mitić, Vojislav V.; Vasić, A.; Lazović, Goran; Matija, Lidija; Kocić, Ljubiša

doi:10.1016/j.cnsns.2016.08.024

Cited by 2 publications

(1 citation statement)

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“…The temperature in the literature is formally known as an inverse imaginary time [24]. This idea is more accurately expressed in the paper [26] and is the basis for this work. For BaTiO 3 -ceramics the following equation of thermomechanics state will be considered ( )…”

Section: Resultsmentioning

confidence: 99%

Discrete temperature values in the sintering process as a BaTiO3-ceramics properties parameter

et al. 2017

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In this paper, we develop the new physical-mathematical time scale approach-model applied to BaTiO 3 -ceramics. At the beginning, a time scale is defined to be an arbitrary closed subset of the real numbers R, with the standard inherited topology. The time scale mathematical examples include real numbers R, natural numbers N, integers Z, the Cantor set (i.e. fractals), and any finite union of closed intervals of R. Calculus on time scales (TSC) was established in 1988 by Stefan Hilger. TSC, by construction, is used to describe the complex process. This method may be utilized for a description of physical, material (crystal growth kinetics, physical chemistry kinetics -for example, kinetics of barium-titanate synthesis), biochemical or similar systems and represents a major challenge for nowadays contemporary scientists. Generally speaking, such processes may be described by a discrete time scale. Reasonably it could be assumed that such a "scenario" is possible for discrete temperature values as a consolidation parameter which is the basic ceramics description properties. In this work, BaTiO 3 -ceramics discrete temperature as thermodynamics parameter with temperature step h and the basic temperature point a is investigated. Instead of derivations, it is used backward differences with respect to temperature. The main conclusion is made towards ceramics materials temperature as description parameter.

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Section: Resultsmentioning

confidence: 99%