Estimation of Unknown Function of a Class of Nonlinear Integral Inequality
Ouyang Yun, Wusheng Wang
Available Online April 2015.
- 10.2991/emim-15.2015.251How to use a DOI?
- Gronwall-type inequality; Analysis technique; Explicit bound; Fractional integral equation
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.
- © 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/).
Cite this article
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 -