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An Exposition on the Kaniadakis κ-Deformed Decay Differential Equation

  • Georgia Southern University

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Kaniadakis deformed (Formula presented.) -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 (Formula presented.) -differential equation is investigated, facilitating an in-depth examination of the (Formula presented.) -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.

Original languageEnglish
Article number115
JournalMathematical and Computational Applications
Volume30
Issue number5
DOIs
StatePublished - Oct 17 2025

Scopus Subject Areas

  • General Engineering
  • Computational Mathematics
  • Applied Mathematics

Keywords

  • Kaniadakis entropy
  • κ-deformation
  • κ-differential equations
  • κ-exponential
  • κ-logarithm
  • κ-mathematics
  • κ-statistics

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