In this article, a generalized midpoint-type Hermite–Hadamard inequality and Pachpatte-
type inequality via a new fractional integral operator associated with the Caputo–Fabrizio …

First, we establish the parametrized integral identity and its improved version via Atangana–
Baleanu (AB) fractional integrals. For the focus of this paper, we utilize the resulting …

Abstract Convexity and fractional integral operators are closely related due to their
fascinating properties in the mathematical sciences. In this article, we first establish an …

The objective of the current article is to incorporate the concepts of convexity and Jensen-
Mercer inequality with the Caputo-Fabrizio fractional integral operator. Moreover, we present …

Inequality theory has attracted considerable attention from scientists because it can be used
in many fields. In particular, Hermite–Hadamard and Simpson inequalities based on convex …

Many scholars have recently become interested in establishing integral inequalities using
various known fractional operators. Fractional calculus has grown in popularity as a result of …

This research focuses on the Ostrowski–Mercer inequalities, which are presented as
variants of Jensen's inequality for differentiable convex functions. The main findings were …

The main aim of this article is to design a novel framework to study a generalized fractional
integral operator that unifies two existing fractional integral operators. To ensure the suitable …

The objective of this article is to incorporate the concept of the Ostrowski inequality with the
Atangana–Baleanu fractional integral operator. A novel integral identity for twice …

Applications of the Atangana–Baleanu fractional integral were considered in recent studies
related to geometric function theory to obtain interesting differential subordinations …