Averaging of fuzzy integral equations

Natalia Skripnik

doi:10.3934/dcdsb.2017118

Article Contents

2017, Volume 22, Issue 5: 1999-2010. Doi: 10.3934/dcdsb.2017118

This issue Previous Article The averaging of fuzzy hyperbolic differential inclusions Next Article Multivalued non-autonomous random dynamical systems for wave equations without uniqueness

Averaging of fuzzy integral equations

Natalia Skripnik

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

Received: December 31, 2015

Revised: January 31, 2016

Published: August 2017

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Abstract

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.

Keywords:

Fuzzy integral equation,
averaging method.

Mathematics Subject Classification: Primary:58F15, 58F17;Secondary:53C35.

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