Titre : Optimal control of a fractional diffusion Sturm-Liouville problem on a star graph 

Auteurs : Pasquini Soh Fotsing,  

Revue : Advances in Pure and Applied Mathematics 

Numéro : Issue 1 (January 2022) 

Volume : 13 

Date : 2022/01/11 

DOI : 10.21494/ISTE.OP.2021.0757 

ISSN : 1869-6090 

Résumé : 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. 

Éditeur : ISTE OpenScience