Averaging of fuzzy integral equations

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.2010 Mathematics Subject Classification. Primary: 58F15, 58F17; Secondary: 53C35.

Applications of the Bielecki renorming technique

“…Recent developments about integral equations basically extend the range of the functions beyond Banach spaces to fuzzy spaces [19] and so-called Lspaces [1]. However, the unknown functions are defined only on intervals.…”

Applications of the Bielecki renorming technique

“…Recent developments about integral equations basically extend the range of the functions beyond Banach spaces to fuzzy spaces [16] and so-called L-spaces [1]. However, the unknown functions are defined only on intervals.…”