TY - Type of reference TI - Optimal control of a fractional diffusion Sturm-Liouville problem on a star graph 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 - Advances in Pure and Applied Mathematics 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 - http://openscience.fr/IMG/pdf/iste_apam22v13n1_1.pdf LA - en PB - ISTE OpenScience DA - 2022/01/11 SN - 1869-6090 TT - Contrôle optimal d’une diffusion fractionnée Problème de Sturm-Liouville sur un graphe étoile UR - http://openscience.fr/Optimal-control-of-a-fractional-diffusion-Sturm-Liouville-problem-on-a-star IS - Issue 1 (January 2022) VL - 13 ER -