In this paper, we establish some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex. These results are connected with the celebrated Hermite-Hadamard-Fejér type integral inequality. The results presented here would provide extensions of those given in earlier works.

In this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using certain fractional operators described in the Caputo sense. Characterization property, the results on modified Hadamard product and integral transforms are discussed. Further, distortion theorem and radii of starlikeness and convexity are also determined here. Resume...

In this paper we establish new Hermite-Hadamard type inequalities involving fractional integrals with respect to another function. Such fractional integrals generalize the Riemann-Liouville fractional integrals and the Hadamard fractional integrals. c ©2016 All rights reserved.

In this article, we established a new version of generalized fractional Hadamard and Fejér–Hadamard type integral inequalities. A operator (FIO) with non-singular function (multi-index Bessel function) as its kernel monotone increasing functions is utilized to obtain the such Our derived results are form several proven inequalities already existing in literature. The useful for studying stabili...

Fractional integrals and inequalities have recently become quite popular been the prime consideration for many studies. The results of different types studied by launching innovative analytical techniques applications. These Hermite–Hadamard are discovered in this study using Atangana–Baleanu integral operators, which provide both practical powerful results. In paper, a symmetric type is provid...

Abstract. We consider Hadamard fractional derivatives and integrals of variable fractional order. A new type of fractional operator, which we call the Hadamard–Marchaud fractional derivative, is also considered. The objective is to represent these operators as series of terms involving integer-order derivatives only, and then approximate the fractional operators by a finite sum. An upper bound ...