NEW FRACTIONAL INTEGRAL EXTENSIONS FOR INEQUALITIES INVOLVING MONOTONE FUNCTIONS

Küçük Resim Yok

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Element D.O.O.

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This paper extends classical results on integral inequalities involving monotone functions to the domain of Riemann-Liouville fractional integrals with positive arbitrary order a . By employing a unified framework, our approach provides a more generalized understanding of the interplay between monotonicity and integrability in the case of fractional integration. We review classical results, introduce Riemann-Liouville integrals, and establish the fractional integral extensions. Our main results are presented, with discussions on their applications, contributing to a broader comprehension of this type of inequalities in mathematical analysis and its applications. © 2025 Elsevier B.V., All rights reserved.

Açıklama

Anahtar Kelimeler

Integral Inequality, Monotone Function, Riemann-liouville Integral

Kaynak

Fractional Differential Calculus

WoS Q Değeri

Scopus Q Değeri

Q3

Cilt

14

Sayı

2

Künye