Solvability and optimal controls of semilinear Riemann-Liouville fractional differential equations
Summary: We consider the control systems governed by semilinear differential equations with Riemann-Liouville fractional derivatives in Banach spaces. Firstly, by applying fixed point strategy, some suitable conditions are established to guarantee the existence and uniqueness of mild solutions for a broad class of fractional infinite dimensional control systems. Then, by using generally mild conditions of cost functional, we extend the existence result of optimal controls to the Riemann-Liouville fractional control systems. Finally, a concrete application is given to illustrate the effectiveness of our main results.
semilinear Riemann-Liouville fractional differential equations
scientific article; zbMATH DE number 7021949
scientific article