A New Class of Fractional Cumulative Residual Entropy - Some Theoretical Results

• Autorzy: Benmahmoud Slimane

Identyfikatory

DOI

10.26636/jtit.2023.166622

• Języki publikacji: EN

Abstrakty

EN

In this paper, by differentiating the entropy’s generating function (i.e., h(t) = R SX̄F tX (x)dx) using a Caputo fractional-order derivative, we derive a generalized non-logarithmic fractional cumulative residual entropy (FCRE). When the order of differentiation α → 1, the ordinary Rao CRE is recovered, which corresponds to the results from first-order ordinary differentiation. Some properties and examples of the proposed FCRE are also presented.

Słowa kluczowe

EN

cumulative residual entropy; CRE; entropy’s generating function; fractional calculus; information measure; Riemann-Liouville fractional integral; Caputo fractional integral; Riemann-Liouville fractional derivative; Caputo fractional derivative; Tsallis entropy; Rényi entropy

• Wydawca: Instytut Łączności - Państwowy Instytut Badawczy
• Czasopismo: Journal of Telecommunications and Information Technology
• Rocznik: 2023
• Tom: nr 1
• Strony: 25--29
• Opis fizyczny: Bibliogr. 38 poz., rys.

Twórcy

autor

Benmahmoud Slimane

• Mohamed Boudiaf University at M’sila, Algeria

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).