@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.}}