# American Institute of Mathematical Sciences

July  2017, 22(5): 1999-2010. doi: 10.3934/dcdsb.2017118

## Averaging of fuzzy integral equations

 Department of optimal control and economic cybernetics, Odessa National University, Dvoryanskaya 2, Odessa, 65082, Ukraine

Received  January 2016 Revised  February 2016 Published  March 2017

The integral equations are encountered in various fields of science and in numerous applications, including elasticity, plasticity, heat and mass transfer, oscillation theory, fluid dynamics, filtration theory, electrostatics, electrodynamics, biomechanics, game theory, control, queuing theory, electrical engineering, economics, and medicine. In this paper the fuzzy integral equation is considered and the existence and uniqueness theorem, the theorem of continuous dependence on the right-hand side and initial fuzzy set are proved. Also the possibility of using the scheme of full averaging for fuzzy integral equation with a small parameter is considered.

Citation: Natalia Skripnik. Averaging of fuzzy integral equations. Discrete & Continuous Dynamical Systems - B, 2017, 22 (5) : 1999-2010. doi: 10.3934/dcdsb.2017118
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