Approximating solutions of fuzzy stochastic fractional integro-evolution equations with the Averaging Principle: Theory and Applications

Abstract

This paper introduces the averaging principle (AP) as a method for solving fuzzy stochastic fractional integro-evolution equations (FSFIEEs). By making certain assumptions, the solutions of FSFIEEs can be estimated as mean square solutions of averaged fuzzy stochastic systems. This technique simplifies the analysis and comprehension of complex systems that are subject to both randomness and uncertainty.