@ARTICLE{10.21494/ISTE.OP.2021.0757, TITLE={Contrôle optimal d’une diffusion fractionnée Problème de Sturm-Liouville sur un graphe étoile}, AUTHOR={Pasquini Soh Fotsing, }, JOURNAL={Avancées en Mathématiques Pures et Appliquées}, VOLUME={13}, NUMBER={Numéro 1 (Janvier 2022)}, YEAR={2022}, URL={https://openscience.fr/Controle-optimal-d-une-diffusion-fractionnee-Probleme-de-Sturm-Liouville-sur-un}, DOI={10.21494/ISTE.OP.2021.0757}, ISSN={1869-6090}, ABSTRACT={This paper is devoted to parabolic fractional boundary value problems involving fractional derivative of Sturm-Liouville type. We investigate the 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 system. We then investigate the analogous problems for a parabolic fractional Sturm-Liouville problem on a star graph with mixed Dirichlet and Neumann boundary controls.}}