§16§§This book presents fractional difference, integral, differential, evolution equations and inclusions, and discusses existence and asymptotic behavior of their solutions. Controllability and relaxed control results are obtained. Combining rigorous deduction with abundant examples, it is of interest to nonlinear science researchers using fractional equations as a tool, and physicists, mechanics researchers and engineers studying relevant topics. § §§ §Contents§Fractional Difference Equations§Fractional Integral Equations§Fractional Differential Equations§Fractional Evolution Equations: Continued§Fractional Differential Inclusions§ §02§§J. Wang, Guizhou University, China; M. Feckan, Comenius University, Slovakia; M. Pospísil, Slovak Academy of Sciences, Slovakia. §