Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus

Abstract

Integral operators are useful in real analysis, mathematical analysis, functional analysis and other subjects of mathematical approach. The goal of this paper is to study a unified integral operator via convexity. By using convexity and conditions of unified integral operators, bounds of these operators are obtained. Furthermore consequences of these results are discussed for fractional and conformable integral operators.

Keywords

• Convex function
• Mittag-Leffler function
• integral operator
• fractional integral operator
• conformable integral operator