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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Fractional Hermite–Hadamard Inequalities in Non-Newtonian Calculus Focusing on h-GG-Convex Functions
International Journal of Mathematics and Mathematical SciencesThe aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG-multiplicative calculus. By employing the GG-multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of ...
Bouharket Benaissa +3 more
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Severity parameter and global importance factor of non-newtonian models in 3D reconstructed human left coronary artery [PDF]
, 2011 This paper was presented at the 3rd Micro and Nano Flows Conference (MNF2011), which was held at the Makedonia Palace Hotel, Thessaloniki in Greece.
Soulis, JV +4 more
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LES of non-newtonian physiological blood flow [PDF]
, 2009 Large Eddy Simulation (LES) is performed to study the physiological pulsatile transition to turbulent non-Newtonian blood flow through a 3D model of arterial stenosis using the different non-Newtonian blood viscosity models.
Molla, M.M., Paul, M.C.
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The shear-driven Rayleigh problem for generalised Newtonian fluids [PDF]
, 2014 We consider a variant of the classical ‘Rayleigh problem’ (‘Stokes’s first problem’) in which a semi-infinite region of initially quiescent fluid is mobilised by a shear stress applied suddenly to its boundary. We show that self-similar solutions for the
Duffy, Brian R. +2 more
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On Fixed Point Results for Generalized Contractions in Non-Newtonian Metric Spaces
Cumhuriyet Science Journal, 2022 TThe work of non-Newtonian calculus was begun in 1972. This calculus provides a different area to the classical one. Non-Newtonian metric concept was defined in 2002 by Basar and Cakmak. Then Binbaşıoğlu et al.
Demet Binbaşıoğlu
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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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A Bi-Geometric Fractional Model for the Treatment of Cancer Using Radiotherapy
Fractal and Fractional, 2022 Our study is based on the modification of a well-known predator-prey equation, or the Lotka–Volterra competition model. That is, a system of differential equations was established for the population of healthy and cancerous cells within the tumor tissue ...
Mohammad Momenzadeh +2 more
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Flow of a Self-Similar Non-Newtonian Fluid Using Fractal Dimensions
Fractal and Fractional, 2022 In this paper, the study of the fully developed flow of a self-similar (fractal) power-law fluid is presented. The rheological way of behaving of the fluid is modeled utilizing the Ostwald–de Waele relationship (covering shear-thinning, Newtonian and ...
Abdellah Bouchendouka +6 more
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On the reachability tube of non-Newtonian first-order linear differential equations
Intermaths, 2023 A problem of practical interest is the determination of the reachability sets of ordinary differential equations with an external perturbation, or with a control. This problem can be extended to non-Newtonian spaces generated by continuous and injective
Raúl Temoltzi-Ávila
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