New integral operators for conformable fractional calculus with applications

Abstract

In this paper, we establish new operators on fractional conformable calculus theory. Some properties of the introduced operators (such as: well definition, boundedness, semi group and commutativity) are proved and some applications on integral inequalities are presented. For our results, some recent study on operator theory and fractional calculus are deduced as some special cases.

Subject Classification: (2010):

• 26D10
• 31B10

Keywords:

• Fractional conformable integral
• Integral operator
• Minkowskii inequality
• Commutativity