Estimation of Unknown Function of a Class of Nonlinear Weakly Singular Integral Inequality

DOI

10.2991/icamia-15.2015.40How to use a DOI?

Keywords

weakly singular integral inequalities; conformable fractional integral; conformable fractional differential; analysis technique; explicit bound

Abstract

In this paper, we investigate a nonlinear weakly singular integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by the definitions and rules of conformable fractional differential and conformable fractional integration, the techniques of change of variable, and the method of amplification. The derived results can be applied in the study of qualitative properties of solutions of conformable 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  - Chunmiao Huang
AU  - Wusheng Wang
PY  - 2015/12
DA  - 2015/12
TI  - Estimation of Unknown Function of a Class of Nonlinear Weakly Singular Integral Inequality
BT  - Proceedings of the 2015 International Conference on Advanced Manufacturing and Industrial Application
PB  - Atlantis Press
SP  - 158
EP  - 162
SN  - 2352-5401
UR  - https://doi.org/10.2991/icamia-15.2015.40
DO  - 10.2991/icamia-15.2015.40
ID  - Huang2015/12
ER  -