Necessary optimality conditions for a Lagrange problem governed by a continuous Roesser model with Caputo derivatives
Rafał Kamocki · Archives of Control Sciences · 2024
In the paper, we consider a Lagrange problem governed by a continuous Roesser type system with single partial Caputo derivatives. The necessary optimality conditions for such a problem are derived. In our approach, the increment method, as well as a fractional version of Gronwall’s type lemma for functions of two variables are used.