Abstract
Over the years, the integral inequalities received special attention from many researchers due to their importance and applications. Consequently, this theory has been extended and generalized in various different directions by using innovative ideas and techniques. The concept of fractional calculus plays an important role in many fields of mathematics. Recently, by applying the fractional integral operators, many researchers have obtained a lot of fractional integral inequalities. In this paper, we use the left and right-sided Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski type in terms of a new parameter k > 0. From our results, the classical Ostrowski inequalities can be deduced as some special cases.