@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={https://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.}}