k-Fractional Extension of h-Hadamard Integrals and Derivatives
DOI:
https://doi.org/10.29304/jqcsm.2025.17.32414Keywords:
iemann-Liouville fractional integral, , Hadamard fractional derivativeAbstract
In this paper, we present a generalization types of the h-Hadamard integrals and derivatives parameterized by k. The h-Hadamard integrals and derivatives are themselves generalizations of the Hadamard integrals and derivatives, defined in relation to a continuous function h. We have also developed the concepts of k-gamma and k-beta, which correlate with the definitions of k-fractional h-Hadamard integrals and derivatives. The paper includes various theorems, propositions, properties, and illustrative examples
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Copyright (c) 2025 Sajad Talib Khathem, Methaq Hamza Geem
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