Proceedings of the 2015 International Conference on Advanced Manufacturing and Industrial Application

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

Authors
Chunmiao Huang, Wusheng Wang
Corresponding Author
Chunmiao Huang
Available Online December 2015.
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/).

Download article (PDF)

Volume Title
Proceedings of the 2015 International Conference on Advanced Manufacturing and Industrial Application
Series
Advances in Engineering Research
Publication Date
December 2015
ISBN
978-94-6252-142-1
ISSN
2352-5401
DOI
10.2991/icamia-15.2015.40How to use a DOI?
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/).

Cite this article

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  -