In this paper, we establish a new auxiliary identity of the Bullen type for twice-differentiable functions in terms fractional integral operators. Based on identity, some generalized Bullen-type inequalities are obtained by employing convexity properties. Concrete examples given to illustrate results, and correctness is confirmed graphical analysis. An analysis provided estimations bounds. Acco...

In this paper, the authors define a new generic class of functions involving certain modified Fox–Wright function. A useful identity using fractional integrals and function with two parameters is also found. Applying as an auxiliary result, we establish some Hermite–Hadamard-type integral inequalities by above-mentioned functions. Some special cases are derived relevant details. Moreover, in or...

The well-known Hermite-Hadamard integral inequality was established by Hermite at the end of 19th century (see [1]). There are many recent contributions to improve this inequality, please refer to [2,3,4,5,6] and references therein. It is worth noting that there are some interesting results about Hermite-Hadamard inequalities via fractional integrals according to the corresponding integral equa...

The main objective of present investigation is to obtain some Minkowski-type fractional integral inequalities using generalised proportional Hadamard operators which introduced by Rahman et al. in the paper (Certain via generalized operators), Advances Differential Equations, 2019, 454(2019). In addition, we establish other for positive and continuous functions.

This paper contains a variety of new integral inequalities for (s,m)-convex functions using Caputo fractional derivatives and Caputo–Fabrizio operators. Various generalizations Hermite–Hadamard-type containing operators are derived those whose (s,m)-convex. Inequalities involving the digamma function special means deduced as applications.