We consider distributed-order non-local fractional optimal control problems with controls taking values on a closed set and prove strong necessary optimality condition of Pontryagin type. The possibility that admissible are subject to pointwise constraints is new requires more sophisticated techniques include maximality condition. start by proving results continuity solutions due needle-like pe...

In this paper, an attempt to unify two important lines of thought in applied optimization is proposed. We wish integrate the well-known (dynamic) theory Pontryagin optimal control with Pareto (of static type), involving maximization/minimization a non-trivial number functions or functionals, offers definitive theoretical device for dynamic realization objectives be optimized. The undoubtedly le...

We extend Peng's maximum principle for semilinear stochastic partial differential equations (SPDEs) in one space-dimension with non-convex control domains and control-dependent diffusion coefficients to the case of general cost functionals Nemytskii-type coefficients. Our analysis is based on a new approach characterization second order adjoint state as solution function-valued backward SPDE.