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

Mophou G, Leugering G, Fotsing PS (2020)


Publication Type: Journal article

Publication year: 2020

Journal

DOI: 10.1080/02331934.2020.1730371

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.

Authors with CRIS profile

Involved external institutions

How to cite

APA:

Mophou, G., Leugering, G., & Fotsing, P.S. (2020). Optimal control of a fractional Sturm-Liouville problem on a star graph. Optimization. https://doi.org/10.1080/02331934.2020.1730371

MLA:

Mophou, Gisele, Günter Leugering, and Pasquini Soh Fotsing. "Optimal control of a fractional Sturm-Liouville problem on a star graph." Optimization (2020).

BibTeX: Download