Sensitivity analysis of optimal control problems governed by nonlinear Hilfer fractional evolution inclusions. (English) Zbl 1483.49035
The authors consider a control problem for a nonlinear evolution inclusion with a Hilfer fractional derivative in the time variable. This includes the Riemann-Liouville and the Caputo fractional derivatives. The initial condition is given by a Riemann-Liouville integral. The main results in the paper refer to the stability of the problem with respect to the initial conditions and parameters. For this purpose it is also studied the existence and compactness properties of the mild solutions corresponding to the differential inclusion.
Reviewer: Juan Casado-Díaz (Sevilla)
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