Estimation of Unknown Function of a Class of Nonlinear Integral Inequality

DOI

10.2991/emim-15.2015.251How to use a DOI?

Keywords

Gronwall-type inequality; Analysis technique; Explicit bound; Fractional integral equation

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.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Ouyang Yun
AU  - Wusheng Wang
PY  - 2015/04
DA  - 2015/04
TI  - Estimation of Unknown Function of a Class of Nonlinear Integral Inequality
BT  - Proceedings of the 2015 International Conference on Education, Management, Information and Medicine
PB  - Atlantis Press
SP  - 1279
EP  - 1283
SN  - 2352-5428
UR  - https://doi.org/10.2991/emim-15.2015.251
DO  - 10.2991/emim-15.2015.251
ID  - Yun2015/04
ER  -