TY - Type of reference TI - Contrôle optimal d’une diffusion fractionnée Problème de Sturm-Liouville sur un graphe étoile AU - Pasquini Soh Fotsing AB - 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. DO - 10.21494/ISTE.OP.2021.0757 JF - Avancées en Mathématiques Pures et Appliquées KW - Rieman-Liouville fractional derivative, Caputo fractional derivative, fractional integral, Sturm-Liouville equations, boundary value problem, optimal control, optimality system, Rieman-Liouville fractional derivative, Caputo fractional derivative, fractional integral, Sturm-Liouville equations, boundary value problem, optimal control, optimality system, L1 - https://openscience.fr/IMG/pdf/iste_apam22v13n1_1.pdf LA - fr PB - ISTE OpenScience DA - 2022/01/11 SN - 1869-6090 TT - Optimal control of a fractional diffusion Sturm-Liouville problem on a star graph UR - https://openscience.fr/Controle-optimal-d-une-diffusion-fractionnee-Probleme-de-Sturm-Liouville-sur-un IS - Numéro 1 (Janvier 2022) VL - 13 ER -