k-Fractional Extension of h-Hadamard Integrals and Derivatives
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 t...
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| Veröffentlicht in: | Journal of Al-Qadisiyah for Computer Science and Mathematics Jg. 17; H. 3 |
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| Hauptverfasser: | , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
30.09.2025
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| ISSN: | 2074-0204, 2521-3504 |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 2074-0204 2521-3504 |
| DOI: | 10.29304/jqcsm.2025.17.32414 |