Optimal control of a fractional Sturm–Liouville problem on a star graph
Gisèle MophouAfrican Institute for Mathematical Sciences (AIMS), Limbe, CameroonGünter LeugeringDepartment Mathematik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, GermanyPasquini Soh FotsingDepartment of Mathematics, University of Buea, Buea, Cameroon
2020en
ABI
Abstract
This paper is devoted to elliptic fractional boundary value problems of Sturm–Liouville type on an interval and on a general star graph. We first give some existence and uniqueness results on an open bounded real interval, prove the existence of solutions to a quadratic boundary optimal control problem and provide a characterization via optimality conditions. We then investigate the analogous problems for a fractional Sturm–Liouville problem on a star graph with mixed Dirichlet and Neumann boundary controls.
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