On the multi-parameterized inequalities involving the tempered fractional integral operators

Abstract

In virtue of the conception of  the tempered fractional integrals, put forward by Sabzikar et al. in the published article [J. Comput. Phys., 293: 14--28, 2015], we present a fractional integral identity together with multi-parameter. Based on it, we develop certain parameterized integral inequalities in association with differentiable mappings. Furthermore, we give two examples to verify the correctness of the derived findings.