Certain Spaces of Functions over the Field of Non-Newtonian Complex Numbers
Abstract and Applied Analysis, 2014 This paper is devoted to investigate some characteristic features of complex numbers and functions in terms of non-Newtonian calculus. Following Grossman and Katz, (Non-Newtonian Calculus, Lee Press, Piegon Cove, Massachusetts, 1972), we construct the ...
Ahmet Faruk Çakmak, Feyzi Başar
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Applications of proportional calculus and a non-Newtonian logistic growth model
Proyecciones (Antofagasta), 2020 On the set of positive real numbers, multiplication, represented by ⊕, is considered as an operation associated with the notion of sum, and the operation a ⨀ b = aln(b) represents the meaning of the traditional multiplication. The triple (R+, ⊕,⨀) forms an ordered and complete field in which derivative and integration operators are defined analogously ...
Manuel Pinto Jiménez +3 more
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Non-Newtonian and flow pulsatility effects in simulation models of a stented intracranial aneurysm [PDF]
, 2011 Permission to redistribute provided by publishers.Three models of different stent designs implanted in a cerebral aneurysm, originating from the Virtual Intracranial Stenting Challenge'07, are meshed and the flow characteristics simulated using ...
BAROZZI, Giovanni Sebastiano +11 more
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Application of Atangana-Baleanu Fractional Derivative to Carbon Nanotubes Based Non-Newtonian Nanofluid: Applications in Nanotechnology [PDF]
Journal of Applied and Computational Mechanics, 2020 Single and multi-walled carbon nanotubes (SWCNTs & MWCNTs) comprise a large group of nanometer-thin hollow fibrous nanomaterials having physico-chemical characteristics like atomic configuration, length to diameter ratios, defects, impurities and ...
Kashif Ali Abro +2 more
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Shallow flows of generalised Newtonian fluids on an inclined plane [PDF]
, 2015 We derive a general evolution equation for a shallow layer of a generalised Newtonian fluid undergoing two-dimensional gravity-driven flow on an inclined plane.
Duffy, Brian R. +2 more
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Non-Newtonian Pell and Pell-Lucas numbers
Journal of New Results in ScienceIn the present paper, we introduce a new type of Pell and Pell-Lucas numbers in terms of non-Newtonian calculus, which we call non-Newtonian Pell and non-Newtonian Pell-Lucas numbers, respectively.
Tülay Yağmur
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Discrete and Continuous Multiplicative Differential Equations and Applications in Solving Non−Linear Difference and Differential Equations [PDF]
Sahand Communications in Mathematical AnalysisBoundary and initial value problems, including nonlinear difference equations and nonlinear differential equations, are the mathematical models of many physics and engineering problems and natural phenomena.
Mohammad Jahanshahi +2 more
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Sir Isaac Newton Stranger in a Strange Land
Entropy, 2020 The theme of this essay is that the time of dominance of Newton’s world view in science is drawing to a close. The harbinger of its demise was the work of Poincaré on the three-body problem and its culmination into what is now called chaos theory.
Bruce J. West
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Open Physics, 2021 In this article, thin film flow of non-Newtonian pseudo-plastic fluid is investigated on a vertical wall through homotopy-based scheme along with fractional calculus.
Qayyum Mubashir +5 more
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The Fractal Tapestry of Life: III Multifractals Entail the Fractional Calculus
Fractal and Fractional, 2022 This is the third essay advocating the use the (non-integer) fractional calculus (FC) to capture the dynamics of complex networks in the twilight of the Newtonian era. Herein, the focus is on drawing a distinction between networks described by monfractal
Bruce J. West
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