On Simpson's and Newton's Type Inequalities in Multiplicative Fractional Calculus

Abstract

In this paper, we prove two multiplicative fractional integral identities involving multiplicative differentiable functions. Then, with the help of newly established identities we establish mutiplicative fractional versions of Simpson's and Newton's formulas type inequalities for differentiable multiplicative convex functions. It is also shown that the newly proved inequalities are extensions of some existing inequalities within the literature.