Results 31 to 40 of about 12,546 (259)
Fixed points of non-Newtonian contraction mappings on non-Newtonian metric spaces [PDF]
, 2016 The study of non-Newtonian calculi was started in 1972 by Grossman and Katz. These calculi provide an alternative to the classical calculus and they include the geometric, anageometric and bigeometric calculi, etc.
Binbasioglu, Demet +2 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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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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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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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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An introduction to non-smooth convex analysis via multiplicative derivative
Journal of Taibah University for Science, 2019 In this study, *-directional derivative and *-subgradient are defined using the multiplicative derivative, making a new contribution to non-Newtonian calculus for use in non-smooth analysis.
Ali Hakan Tor
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Certain Sequence Spaces over the Non-Newtonian Complex Field
Abstract and Applied Analysis, 2013 It is known from functional analysis that in classical calculus, the sets , , , and of all bounded, convergent, null and -absolutely summable sequences are Banach spaces with their natural norms and they are complete according to the metric reduced ...
Sebiha Tekin, Feyzi Başar
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Frontiers in Physics, 2023 Fractional calculus is a branch of mathematics that develops from the usual definitions of calculus integral and derivative operators, just as fractional exponents emerge from integer exponents.
Shafiq Ahmad +4 more
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