Generalization of Hermite-Hadamard Integral Inequality via Caputo Fabrizio Fractional Integral Operator

Certainly, fractional calculus has grabbed the keen interest of numerous investigators in the last couple of decades. Numerous real-world problems and demonstrations have involved the development of the Caputo-Fabrizio fractional operator. Our article’s primary goal is to enhance Hermite-Hadamard (H-H) integral inequality and its generalizations by applying the Caputo-Fabrizio fractional integral operator (CFFIO) and the preinvexity concept. We additionally offer some applications of our key findings to specific methods.

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Publication Details

Journal
Global Journal of Sciences
Published
2025-10-08
DOI
https://doi.org/10.48165/gjs.2025.2202
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
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article

Generalization of Hermite-Hadamard Integral Inequality via Caputo Fabrizio Fractional Integral Operator

Muhammad Tariq, Clemente Cesarano, Asif Ali Shaikh, Asif Ali et al.
Global Journal of Sciences
Mathematical Inequalities and Applications
article

Generalization of Hermite-Hadamard Integral Inequality via Caputo Fabrizio Fractional Integral Operator

Muhammad Tariq, Clemente Cesarano, Asif Ali Shaikh, Asif Ali, Hijaz Ahmad
article en

Abstract

Certainly, fractional calculus has grabbed the keen interest of numerous investigators in the last couple of decades. Numerous real-world problems and demonstrations have involved the development of the Caputo-Fabrizio fractional operator. Our article’s primary goal is to enhance Hermite-Hadamard (H-H) integral inequality and its generalizations by applying the Caputo-Fabrizio fractional integral operator (CFFIO) and the preinvexity concept. We additionally offer some applications of our key findings to specific methods.

Global Journal of SciencesVol. 2(2)
Mehran University of Engineering and Technology (PK), UniNettuno University (IT), Near East University (CY)
Openalex Percentile: Top 60%
Mathematical Inequalities and Applications
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Generalization of Hermite-Hadamard Integral Inequality via Caputo Fabrizio Fractional Integral Operator — Muhammad Tariq, Clemente Cesarano, et al. · Global Journal of Sciences (2025) | TGRS Research Map | TGRS