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Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy

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Interpretations of Hadamard-type fractional integral and differential operators are proposed. The Hadamard-type fractional integrals of function with respect to another function are interpreted as an generalization of standard entropy, fractional… Click to show full abstract

Interpretations of Hadamard-type fractional integral and differential operators are proposed. The Hadamard-type fractional integrals of function with respect to another function are interpreted as an generalization of standard entropy, fractional entropies and cumulative entropies. A family of fractional cumulative entropies is proposed by using the Hadamard-type fractional operators.

Keywords: fractional cumulative; hadamard type; fractional operators; entropy; type fractional

Journal Title: Entropy
Year Published: 2022

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