Proceedings of the 2015 International Conference on Education, Management, Information and Medicine 2015
DOI: 10.2991/emim-15.2015.251
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Estimation of Unknown Function of a Class of Nonlinear Integral Inequality

Abstract: Abstract. In this paper, we establish a class of iterated integral inequality, which includes a noncons -tant term outside the integrals. The upper bound of the embedded unknown function in the inequality is estimated explicitly by adopting novel analytical 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.

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