On the multiplicative Legendre equation
When exponentials are employed to model procedures and efficacies appearing in real life, an additive derivative of this type of function does not exist.
Sertac Goktas
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Examining the relation of correct knowledge and misconceptions using the nominal response model
This study reports an analysis of the Force Concept Inventory (FCI) using item response curves (IRC)—the fraction of students selecting each response to an item as a function of their total score.
John Stewart +7 more
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Some new results on sequence spaces with respect to non-Newtonian calculus [PDF]
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Çakmak, Ahmet, Başar, Feyzi
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Bell-Type Inequalities from the Perspective of Non-Newtonian Calculus
AbstractA class of quantum probabilities is reformulated in terms of non-Newtonian calculus and projective arithmetic. The model generalizes spin-1/2 singlet state probabilities discussed in Czachor (Acta Physica Polonica:139 70–83, 2021) to arbitrary spins s. For $$s\rightarrow \infty$$ s →
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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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Determination of the Köthe-Toeplitz Duals over the Non-Newtonian Complex Field
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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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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Application of Atangana-Baleanu Fractional Derivative to Carbon Nanotubes Based Non-Newtonian Nanofluid: Applications in Nanotechnology [PDF]
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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Certain Spaces of Functions over the Field of Non-Newtonian Complex Numbers
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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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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