Estimation of unknown function of a class of integral inequalities and applications in fractional integral equations

摘要

In this paper, we establish a class of iterated integral inequalities, which includes a nonconstant term outside the integrals. The upper bound of the embedded unknown function is estimated explicitly by adopting novel analysis techniques, such as: change of variable, amplification method, differential and integration. The derived result can be applied in the study of qualitative properties of solutions of fractional integral equations. (C) 2015 Elsevier Inc. All rights reserved.