Controllability for Fuzzy Fractional Evolution Equations in Credibility Space

This article addresses exact controllability for Caputo fuzzy fractional evolution equations in the credibility space from perspective of Liu process. The class or problems considered here are differential with derivatives order β∈(1,2), 0CDtβu(t,ζ)=Au(t,ζ)+f(t,u(t,ζ))dCt+Bx(t)Cx(t)dt initial conditions u(0)=u0,u′(0)=u1, where u(t,ζ) takes values U(⊂EN),V(⊂EN) is other bounded space, and EN represents set all upper semi-continuously convex numbers on R. In addition, several numerical solutions have been provided to verify correctness effectiveness main result. Finally, an example given, which expresses equations.