In the frame of fractional calculus, the term convexity is primarily utilized to address several
challenges in both pure and applied research. The main focus and objective of this review …

It is a familiar fact that inequalities have become a very popular method using fractional
integrals, and that this method has been the driving force behind many studies in recent …

The principal motivation of this paper is to establish a new integral equality related to k-
Riemann Liouville fractional operator. Employing this equality, we present several new …

We establish various fractional convex inequalities of the Hermite–Hadamard type with
addition to many other inequalities. Various types of such inequalities are obtained, such as …

In this article, firstly, we establish a novel definition of weighted interval-valued fractional
integrals of a function Υ˘ using an another function ϑ (ζ˙). As an additional observation, it is …

Recently, fractional calculus has been the center of attraction for researchers in
mathematical sciences because of its basic definitions, properties and applications in …

In this paper, a new type of convexity is defined, namely, the left–right-(k, hm)-p IVM (set-
valued function) convexity. Utilizing the definition of this new convexity, we prove the …

We establish various fractional convex inequalities of the Hermite-Hadamard type which
generalize the previously obtained results in the literature. Various types of such inequalities …

In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for
harmonically convex functions in the form of weighted fractional integral. Secondly, an …

An important area in the field of applied and pure mathematics is the integral inequality. As it
is known, inequalities aim to develop different mathematical methods. Nowadays, we need …