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Conformable fractional integrals and related new integral inequalities. (English) Zbl 1474.26073

Summary: In the present note, we have given the definition of conformable fractional integrals and some further properties. In the second part, we have established some Grüss type integral inequalities by using the bounded functions and Lipschitzian mappings via conformable fractional integrals. In the third part, we have proved some new inequalities for geometrically convex functions involving conformable fractional integrals.

MSC:

26D15 Inequalities for sums, series and integrals
26A33 Fractional derivatives and integrals