New Versions of Midpoint Inequalities Based on Extended Riemann–Liouville Fractional Integrals

On Generalizations of Hadamard Inequalities for Fractional Integrals

Fej'{e}r  Hadamard  inequality is generalization of Hadamard inequality. In this paper we prove certain Fej'{e}r  Hadamard  inequalities for $k$-fractional integrals. We deduce Fej'{e}r  Hadamard-type  inequalities for Riemann-Liouville fractional integrals. Also as special case Hadamard inequalities for $k$-fractional as well as fractional integrals are given.

New Inequalities Using Fractional Q-integrals Theory

The aim of the present paper is to establish some new fractional q-integral inequalities on the specific time scale: Tt0 = {t : t = t0q, n ∈ N} ∪ {0}, where t0 ∈ R, and 0 < q < 1.

Integral Inequalities for h(x)-Riemann-Liouville Fractional Integrals

In this article, we obtain generalizations for Gr&uuml;ss type integral inequality by using h(x)-Riemann-Liouville fractional integral.

New inequalities for fractional integrals and their applications

Discussion of some inequalities via fractional integrals

Recently, many generalizations and extensions of well-known inequalities were obtained via different kinds of fractional integrals. In this paper, we show that most of those results are particular cases of (or equivalent to) existing inequalities from the literature. As consequence, such results are not real generalizations.