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

Xu H., Lakhdari A., Saleh W., Awan M. U., Meftah B.

Fractals, 2025 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2025
  • Doi Number: 10.1142/s0218348x25500331
  • Journal Name: Fractals
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Compendex, INSPEC, zbMATH, DIALNET, Civil Engineering Abstracts
  • Keywords: Fractal Sets, Generalized Fractional Integrals, Reverse Minkowski Inequality, Young Inequality
  • Kocaeli University Affiliated: Yes

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.