Although there are many excellent ways presenting the principle of the classical calculus, the novel presentations probably leads most naturally to the development of the non-Newtonian calculus. The important point to note is that the non-Newtonian calculus is a self-contained system independent of any other system of calculus. Since this self-contained work is intended for a wide audience, inc...

although there are many excellent ways presenting the principle of the classical calculus, the novel presentations probably leads most naturally to the development of the non-newtonian calculus. the important point to note is that the non-newtonian calculus is a self-contained system independent of any other system of calculus. since this self-contained work is intended for a wide audience, inc...

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 of this calculus and the classical calculus. Several basic concepts based on non-Newtonian calculus are presented by Grossman (1983), Grossman...

Abstract A class of quantum probabilities is reformulated in terms non-Newtonian calculus and projective arithmetic. The model generalizes spin-1/2 singlet state discussed Czachor (Acta Physica Polonica:139 70–83, 2021) to arbitrary spins s . For $$s\rightarrow \infty$$ s → ∞ ...

The calculus of variations is a field mathematical analysis born in 1687 with Newton’s problem minimal resistance, which concerned the maxima or minima integral functionals. Finding solution such problems leads to solving associated Euler–Lagrange equations. subject has found many applications over centuries, e.g., physics, economics, engineering and biology. Up this moment, however, theory bee...

A general purpose package in Mathematica environment for the automatic computation of non-newtonian ow equations is developed and presented. The software allows the user to choose among three coordinate systems and four diierent uid models. Changing of variables, scaling and other formal manipulation of the equations are also possible.

Many studies have been done on superposition operators and non-Newtonian calculus from past to present. Sağır Erdoğan defined Non-Newtonian characterized them some sequence spaces. Also they examined *- boundedness *-locally of c0,α cα l1,β. In this study, we define *-continuity *-uniform continuity operator. We proved that the necessary sufficient conditions for operator Then relationship betw...

TThe work of non-Newtonian calculus was begun in 1972. This provides a different area to the classical one. Non-Newtonian metric concept defined 2002 by Basar and Cakmak. Then Binbaşıoğlu et al. had given spaces 2016. Also, they started fixed-point theory defining some topological properties spaces. In this work, we give theorems results for self-mappings satisfying certain conditions

In this paper, we construct the quasi-Banach algebra BC(N) of non-Newtonian bicomplex numbers and generalize some topological concepts inequalities as Schwarz?s, H?lder?s Minkowski?s in set sense calculus.