Leugering G, Mophou G, Moutamal M, Warma M (2022)
Publication Type: Journal article
Publication year: 2022
In the present paper we deal with parabolic fractional initial-boundary value problems of Sturm-Liouville type in an interval and in a gen-eral star graph. We first give several existence, uniqueness and regularity results of weak and very-weak solutions. We prove the existence and unique-ness of solutions to a quadratic boundary optimal control problem and provide a characterization of the optimal contol via the Euler-Lagrange first order optimality conditions. We then investigate the analogous problems for a frac-tional Sturm-Liouville problem in a general star graph with mixed Dirichlet and Neumann boundary controls. The existence and uniqueness of minimizers, and the characterization of the first order optimality conditions are obtained in a general star graph by using the method of Lagrange multipliers.
Leugering, G., Mophou, G., Moutamal, M., & Warma, M. (2022). OPTIMAL CONTROL PROBLEMS OF PARABOLIC FRACTIONAL STURM-LIOUVILLE EQUATIONS IN A STAR GRAPH. Mathematical Control and Related Fields. https://dx.doi.org/10.3934/mcrf.2022015
Leugering, Günter, et al. "OPTIMAL CONTROL PROBLEMS OF PARABOLIC FRACTIONAL STURM-LIOUVILLE EQUATIONS IN A STAR GRAPH." Mathematical Control and Related Fields (2022).