An Exposition on the Kaniadakis \kappa-Deformed Decay Differential Equation

TL;DR

This paper explores the mathematical structure of a first-order decay ppa-differential equation within Kaniadakis ppa-mathematics, providing foundational insights into complex systems analysis.

Contribution

It introduces the first detailed investigation of the ppa-deformed decay differential equation, establishing a foundational framework for future research.

Findings

Developed the ppa-deformed decay differential equation framework

Demonstrated the mathematical properties of the ppa-deformation

Discussed potential directions for further study

Abstract

Kaniadakis deformed \kappa-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 \kappa-differential equation is investigated, facilitating an in-depth examination of the \kappa-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