On Fixed Point Results for Generalized Contractions in Non-Newtonian Metric Spaces
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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A Generalization on Weighted Means and Convex Functions with respect to the Non-Newtonian Calculus [PDF]
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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Alternative fractional derivative operator on non-newtonian calculus and its approaches
Nowadays, study on fractional derivative and integral operators is one of the hot topics of mathematics and lots of investigations and studies make their attentions in this field. Most of these concerns raised from the vast application of these operators in study of phenomena’s models.
Sajedeh Norozpou, Mohammad Momenzadeh
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Flow of a Self-Similar Non-Newtonian Fluid Using Fractal Dimensions
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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Unsteady two dimensional flow of non-newtönian fractional Casson fluid for an edge with heated boundaries [PDF]
This 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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A generalized fixed point theorem in non-Newtonian calculus
In thispaper, a generalized fixed point theorem and its results are established in theconcept of multiplicative distance which was introduced by Agamirza et.al [3]to improve the non-Newtonian calculus. Our results include some existingresults in the concept of multiplicative metric space.
M. Kir
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Non-Newtonian Pell and Pell-Lucas numbers
In 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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Unifying Aspects of Generalized Calculus
Non-Newtonian calculus naturally unifies various ideas that have occurred over the years in the field of generalized thermostatistics, or in the borderland between classical and quantum information theory.
Marek Czachor
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Applications of proportional calculus and a non-Newtonian logistic growth model
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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On the Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability [PDF]
A 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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