Results 41 to 50 of about 84,384 (149)
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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Some inequalities in quasi-Banach algebra of non-Newtonian bicomplex numbers
Filomat, 2021 In this paper, we construct the quasi-Banach algebra BC(N) of non-Newtonian bicomplex numbers and we generalize some topological concepts and inequalities as Schwarz?s, H?lder?s and Minkowski?s in the set of bicomplex numbers in the sense of non ...
Nilay Sager, B. Sağır
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Modified Regge calculus as an explanation of dark energy
, 2012 Using Regge calculus, we construct a Regge differential equation for the time evolution of the scale factor $a(t)$ in the Einstein-de Sitter cosmology model (EdS).
McDevitt, T. J. +2 more
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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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, 2012 In this note we analyze a model for a unidirectional unsteady flow of a viscous incompressible fluid with time dependent viscosity. A possible way to take into account such behaviour is to introduce a memory formalism, including thus the time dependent ...
Garra, Roberto, Polito, Federico
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MOND-like Fractional Laplacian Theory
, 2020 I provide a derivation of some characteristic effects of Milgrom's modified Newtonian dynamics (MOND) from a fractional version of Newton's theory based on the fractional Poisson equation.
Giusti, Andrea
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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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On *-Continuity and *-Uniform Continuity of Some Non-Newtonian Superposition Operators
European Journal of Science and Technology, 2021 Many studies have been done on superposition operators and non-Newtonian calculus from past to present. Sağır and Erdoğan defined Non-Newtonian superposition operators and characterized them on some sequence spaces.
F. Erdoğan, Birsen SAĞIR DUYAR
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Incompressible Stars and Fractional Derivatives [PDF]
, 2014 Fractional calculus is an effective tool in incorporating the effects of non-locality and memory into physical models. In this regard, successful applications exist rang- ing from signal processing to anomalous diffusion and quantum mechanics.
Bayin, S. S., Krisch, J. P.
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