A Generalization on Weighted Means and Convex Functions with respect to the Non-Newtonian Calculus [PDF]
International Journal of Analysis, 2016 This paper is devoted to investigating some characteristic features of weighted means and convex functions in terms of the non-Newtonian calculus which is a self-contained system independent of any other system of calculus. It is shown that there are infinitely many such useful types of weighted means and convex functions depending on the choice of ...
Uğur Kadak, Yusuf Gürefe
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Certain Spaces of Functions over the Field of Non-Newtonian Complex Numbers [PDF]
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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Determination of the Köthe-Toeplitz Duals over the Non-Newtonian Complex Field [PDF]
The Scientific World Journal, 2014 The important point to note is that the non-Newtonian calculus is a self-contained system independent of any other system of calculus. Therefore the reader may be surprised to learn that there is a uniform relationship between the corresponding operators
Uğur Kadak
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Unsteady two dimensional flow of non-newtönian fractional Casson fluid for an edge with heated boundaries [PDF]
Scientific ReportsThis study explores the transient flow and thermal behavior of incompressible non-Newtonian fluids, with a particular emphasis on Casson and fractional Casson models, which are widely applied in blood flow, lubricants, and polymer processing.
Sohail Nadeem +4 more
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On the Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability [PDF]
EntropyA hierarchical structure of isomorphic arithmetics is defined by a bijection gR:R→R. It entails a hierarchy of probabilistic models, with probabilities pk=gk(p), where g is the restriction of gR to the interval [0,1], gk is the kth iterate of g, and k is
Marek Czachor
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Fractional-order modelling and analytical solutions for MHD casson fluid flow in an inclined channel with heat and mass transfer [PDF]
Scientific ReportsThis study investigates the unsteady magnetohydrodynamic (MHD) flow of a Casson fluid in an inclined channel using a fractional calculus framework.
Maher Alwuthaynani +5 more
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A new view of spaces and their properties in the sense of non-Newtonian measure. [PDF]
PLoS ONEThis study presents a novel approach to metric spaces through the lens of geometric calculus, redefining traditional structures with new operations and properties derived from non-Newtonian measures.
Amer Darweesh +3 more
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The role of fractional derivatives and magnetic fields in shaping MHD newtonian flow behavior in injected diverging channels [PDF]
Scientific ReportsThis study comprehensively analyzes how fractional-order calculus and externally applied magnetic fields synergistically govern the hydrodynamic behavior of electrically conducting Newtonian fluids in divergent geometries by injecting flow through the ...
M. Tolami +2 more
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Fractional analysis of unsteady squeezing flow of Casson fluid via homotopy perturbation method [PDF]
Scientific Reports, 2022 The objective of this article is to model and analyze unsteady squeezing flow of fractional MHD Casson fluid through a porous channel. Casson fluid model is significant in understanding the properties of non-Newtonian fluids such as blood flows, printing
Mubashir Qayyum +7 more
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Modifying an approximation process using non-Newtonian calculus [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2020 In the present note we modify a linear positive Markov process of discrete type by using so called multiplicative calculus. In this framework, a convergence property and the error of approximation are established.
Agratini, Octavian, Karslı, Harun
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