Results 131 to 140 of about 84,384 (149)

Equivalence transformations applied to exterior calculus approach for finding symmetries: an example of non-Newtonian fluid flow

International Journal of Engineering Science, 1999
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Pakdemirli, M., Yürüsoy, M.
openaire   +2 more sources

ON FRACTIONAL INTEGRAL OPERATOR OVER NON-NEWTONIAN CALCULUS

2023
The definition of a non-Newtonian calculus is based on the homeomorphism which customary denoted by y = a(x). In the mean of this function, elementary algebraic operations can be modified and we reach to the world of new calculus that is called a Non-Newtonian calculus.
Momenzadeh, M., Norozpour, S., Bashirov, A. E.   +2 more
openaire   +1 more source

On the Function Sequences and Series in the Non-Newtonian Calculus

2020
The purpose of this study is to examine the function sequences and series in the non-Newtonian real numbers. Firstly, the information about the studies that are done until today and the application areas, was briefly given. Non-Newtonian calculus was introduced which is an alternative to the classical calculus, definitions, theorems and properties were
Sagir, Birsen, Erdogan, Fatmanur
openaire   +1 more source

Non-Newtonian Jacobsthal and Jacobsthal-Lucas numbers: A new look

Filomat
In this study, we introduce a novel version of Jacobsthal and Jacobsthal-Lucas numbers, termed as non-Newtonian Jacobsthal and non-Newtonian Jacobsthal-Lucas numbers. We investigate various char-acteristics of these newly defined sequences. Additionally,
İlknur Yeşilyurt, Nilay Değirmen
semanticscholar   +1 more source

On non-Newtonian balancing type numbers

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
In this paper, we introduce non-Newtonian balancing type numbers. In non-Newtonian calculus, we examine formulas and identities for classical balancing numbers. We give Binet-type formula for non-Newtonian balancing numbers and the general bilinear index-
A. Szynal-Liana
semanticscholar   +1 more source

A non-Newtonian approach to electromagnetic curves in optical fiber

Revista mexicana de física
The investigation within this article delves into the non-Newtonian geometric attributes exhibited by a linearly polarized light wave along an optical fiber within the framework of the 3D multiplicative Riemann manifold, employing multiplicative ...
Aykut Has, B. Yılmaz
semanticscholar   +1 more source

Convexity and Hermite-Hadamard Type Inequality via Non-Newtonian Calculus

2019
In this paper, firstly we research basic definition of convexity in terms of non-Newtonian calculi, i.e. interval, convex set, convexity, etc. Secondly, we deal with the different classes of convexity and generalizations via non-Newtonian calculi. Finally, we reveal the new generalization of the definition of convexity that can reduce many order of ...
ÜNLÜYOL, Erdal, SALAŞ, Seren
openaire   +1 more source

An overview on the non-newtonian calculus and its potential applications to economics

2014
Until now, non-newtonian calculus, multiplicative calculus in particular, has been presented as a curiosity and is nearly ignored for the social scientists field. In this paper, after a brief presentation of this calculus, we try to show how it could be used to re-explore from another perspective classical economic theory, more particularly the ...
Diana Filip, Cyrille Piatecki
openaire   +1 more source

A non-Newtonian Noether's symmetry theorem

Applicable Analysis, 2023
Delfim F M Torres
exaly  

APPLICATIONS OF INFINITE MATRICES IN NON-NEWTONIAN CALCULUS FOR PARANORMED SPACES AND THEIR TOEPLITZ DUALS

, 2017
K. Raj, C. Sharma
semanticscholar   +1 more source