An Exposition on the Kaniadakis κ-Deformed Decay Differential Equation

Rohan Bolle; Ibrahim Jarra; Jeffery A. Secrest

doi:10.3390/mca30050115

An Exposition on the Kaniadakis κ-Deformed Decay Differential Equation

Rohan Bolle, Ibrahim Jarra, Jeffery A. Secrest

Biochemistry, Chemistry & Physics

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	115
Journal	Mathematical and Computational Applications
Volume	30
Issue number	5
DOIs	https://doi.org/10.3390/mca30050115
State	Published - 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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10.3390/mca30050115

Cite this

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title = "An Exposition on the Kaniadakis κ-Deformed Decay Differential Equation",

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.",

keywords = "Kaniadakis entropy, κ-deformation, κ-differential equations, κ-exponential, κ-logarithm, κ-mathematics, κ-statistics",

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T1 - An Exposition on the Kaniadakis κ-Deformed Decay Differential Equation

AU - Bolle, Rohan

AU - Jarra, Ibrahim

AU - Secrest, Jeffery A.

PY - 2025/10/17

Y1 - 2025/10/17

N2 - 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.

AB - 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.

KW - Kaniadakis entropy

KW - κ-deformation

KW - κ-differential equations

KW - κ-exponential

KW - κ-logarithm

KW - κ-mathematics

KW - κ-statistics

UR - https://www.scopus.com/pages/publications/105020161544

U2 - 10.3390/mca30050115

DO - 10.3390/mca30050115

M3 - Article

AN - SCOPUS:105020161544

SN - 1300-686X

VL - 30

JO - Mathematical and Computational Applications

JF - Mathematical and Computational Applications

IS - 5

M1 - 115

ER -

An Exposition on the Kaniadakis κ-Deformed Decay Differential Equation

Abstract

Scopus Subject Areas

Keywords

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