Existence results for two-dimensional nonlinear fuzzy integral equations of fractional order

In this paper, we consider a class of two-dimensional nonlinear fuzzy integral equations of fractional order. The existence and uniqueness of thesolutions for this class of fractional equations are proved by the generalized Schauder theorem and contraction mapping principle. The proposedmethod of successive approximation is the main tool in our analysis.

Keywords:

Existence and uniqueness theorem , two-dimensional fuzzy integral equations , fractional order , fuzzy numbers