Optimal control of a fractional Sturm–Liouville problem on a star graph. (4th March 2021)

• Record Type: Journal Article
• Authors: Mophou, Gisèle; Leugering, Günter; Fotsing, Pasquini Soh
• Is Part Of: Optimization. Volume 70:Number 3(2021)
• Page Start: 659
• Page End: 687
• Publication Date: 2021-03-04
• Subjects: Rieman–Liouville fractional derivative -- Caputo fractional derivative -- fractional integral -- Sturm–Liouville equations -- boundary value problem -- optimal control -- optimality system; 35J20 -- 49J45 -- 49J20; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2020.1730371
• Languages: English
• ISSNs: 0233-1934

Abstract

ABSTRACT: This paper is devoted to elliptic fractional boundary value problems of Sturm–Liouville type on an interval and on a general star graph. We first give some 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 conditions. We then investigate the analogous problems for a fractional Sturm–Liouville problem on a star graph with mixed Dirichlet and Neumann boundary controls.