doi: 10.17706/ijapm.2017.7.1.59-68
A Note on Fuzzy Volterra-Fredholm Integro-Integral Equations
Fan Guanghui
- Department of Mathematics, Heilongjiang Institute of Technology, Harbin, China, 150050
Abstract
In this paper we studied a class of Volterra integral equation by using Mönch fixed point theorem, we intend to offer new numerical methods to solve the fuzzy Volterra- Fredholm integro-integral equations. By using the comparison theorems and Picard iterated approximation method we obtained the existence theorem of the solution under some weaker conditions, and we proved the theorem. Some examples are investigated to verify convergence results and to illustrate the efficiently of the method.
Keywords
- Fuzzy integral equations
- fuzzy number space
- measure of noncompactness
- mönch fixed point theorem
How to Cite
Fan Guanghui, "A Note on Fuzzy Volterra-Fredholm Integro-Integral Equations," International Journal of Applied Physics and Mathematics, vol. 7, no. 1, pp. 59-68, 2017. https://doi.org/ 10.17706/ijapm.2017.7.1.59-68
Copyright & License
Copyright © 2017 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).