A COMPREHENSIVE STUDY OF FRACTAL-FRACTIONAL REVERSE MINKOWSKI-TYPE INEQUALITIES WITH APPLICATIONS

Hongyan Xu, Abdelghani Lakhdari, Wedad Saleh, Muhammad Uzair Awan and Badreddine Meftah
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Hongyan Xu: School of Mathematics and Physics, Suqian University, Suqian, China
Abdelghani Lakhdari: Department of Mathematics, Faculty of Science and Arts, Kocaeli University, Umuttepe Campus, Kocaeli 41001, Turkey3Laboratory of Energy Systems Technology, National Higher School of Technology and Engineering, Annaba 23005, Algeria
Wedad Saleh: Department of Mathematics, Taibah University, Al-Madina, Saudi Arabia
Muhammad Uzair Awan: Department of Mathematics, Government College University, Faisalabad, Pakistan
Badreddine Meftah: Laboratory of Analysis and Control of Differential Equations “ACED†Faculty MISM, Department of Mathematics, University of 8 May 1945 Guelma, P. O. Box 401, Guelma 24000, Algeria

FRACTALS (fractals), 2025, vol. 33, issue 05, 1-17

Abstract: In this paper, we explore a broad extension of Minkowski-type inequalities to the left-sided fractal-fractional integral operator. Our findings serve not only to generalize previously established results but also to introduce a significant array of new inequalities applicable to fractal-fractional, fractional, and classical integrals. These results deepen the understanding of fractal-fractional integral operators and expand the scope of their applications across different mathematical frameworks. The study concludes with several practical applications.

Keywords: Reverse Minkowski Inequality; Young Inequality; Generalized Fractional Integrals; Fractal Sets (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25500331

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