In this paper, we interpret a fuzzy differential equation by using the strongly generalized differentiability concept. Utilizing the Generalized characterization Theorem. Then a novel hybrid method based on learning algorithm of fuzzy neural network for the solution of differential equation with fuzzy initial value is presented. Here neural network is considered as a part of large eld called ne...

In this paper, we study the differential inclusion associated with minimal surface system for two-dimensional graphs in R2+n. We prove regularity of W1,2 solutions and a compactness result approximate W1,p. Moreover, make perturbation argument to infer that every R > 0, there exists α(R)>0 such R-Lipschitz stationary points functionals α-close C2 norm area functional are always regular. also us...