@ARTICLE{10.21494/ISTE.OP.2021.0757, TITLE={Optimal control of a fractional diffusion Sturm-Liouville problem on a star graph}, AUTHOR={Pasquini Soh Fotsing, }, JOURNAL={Advances in Pure and Applied Mathematics}, VOLUME={13}, NUMBER={Issue 1 (January 2022)}, YEAR={2022}, URL={http://openscience.fr/Optimal-control-of-a-fractional-diffusion-Sturm-Liouville-problem-on-a-star}, 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.}}