Work

An Exposition on the Kaniadakis κ-Deformed Decay Differential Equation

Year: 2025

Type: article

Abstract: Kaniadakis deformed κ-mathematics is an area of mathematics that has found relevance in the analysis of complex systems. Specifically, the mathematical framework in the context of a first-order decay κ-differential equation is investigated, facilitating an in-depth examination of the κ-mathematical structure. This framework serves as a foundational platform, representing the simplest non-trivial setting for such inquiries which are demonstrated for the first time in the literature. Finally, additional avenues of study are discussed.

Source: Mathematical and Computational Applications

DOI: 10.3390/mca30050115

Authors: Rohan Bolle, Ibrahim Jarra, Jeffery A. Secrest

Institution: Georgia Southern University

Language: English

Topic: Statistical Mechanics and Entropy

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,689

Funders: Georgia Southern University, State University of New York Fredonia