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

Optimization Taylor & Francis: STM, Behavioural Science and Public Health Titles / Taylor & Francis

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

Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

African Institute for Mathematical Sciences (AIMS) Cameroon CM Cameroon (CM) University of Buea CM Cameroon (CM)

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).

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