An anageometric time scale calculus and its some basic applications

Anageometric calculus is a branch of non-Newtonian calculus introduced by M. Grossman and R. Katz in 1967, in which changes in functional values are measured by linear differences, but arguments are measured by ratios. The theory of time scales was initiated by S. Hilger in 1988 to unify continuous...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2025-01, Vol.541 (1), p.128691, Article 128691
Main Authors: Boruah, Khirod, Hazarika, Bipan
Format: Article
Language:English
Subjects:
Anageometric calculus
Anageometric time scale
Delta anageometric derivative
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Summary:Anageometric calculus is a branch of non-Newtonian calculus introduced by M. Grossman and R. Katz in 1967, in which changes in functional values are measured by linear differences, but arguments are measured by ratios. The theory of time scales was initiated by S. Hilger in 1988 to unify continuous and discrete analysis. In this article, we introduce anageometric time scale calculus to discuss dynamic equations in which the values of the independent variables show nonlinear behaviour. This newly introduced calculus will be more applicable than other calculi in atomic reactors, growth models, etc. We shall discuss some applications of anageometric time scale calculus on the geometric real field R(G) with its optimality and better accuracy.
ISSN:0022-247X
DOI:10.1016/j.jmaa.2024.128691