We give a discrete Grüss type inequality on fractional calculus.MSC: Primary 39A12; 34A25; 26A33; secondary 26D15; 26D20

In this paper, we shall give some new results about the oscillatory behavior of nonlinear fractional order integro-differential equations with forcing term v(t) of form

Abstract. In this paper, we establish some Chebyshev type inequalities on discrete fractional calculus with nabla operator (or backward difference operator). Mathematics subject classification (2010): Primary 26D15, 26A33; Secondary 39A12, 26D10.

In this study, we shall present Wirtinger type inequality in the fractional case with conformable fractional operators. (2010): 26A33, 26Dxx, 35A23. Mathematics Subject Classification

The aim of this study is to establish new discrete inequalities for synchronous functions using fractional order delta and nabla h-sum operators.We give examples to illustrate our results.