OPTIMAL CONTROL PROBLEMS OF PARABOLIC FRACTIONAL STURM-LIOUVILLE EQUATIONS IN A STAR GRAPH

Leugering G, Mophou G, Moutamal M, Warma M (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Mathematical Control and Related Fields American Institute of Mathematical Sciences (AIMS)

DOI: 10.3934/mcrf.2022015

Abstract

In the present paper we deal with parabolic fractional initial-boundary value problems of Sturm-Liouville type in an interval and in a gen-eral star graph. We first give several existence, uniqueness and regularity results of weak and very-weak solutions. We prove the existence and unique-ness of solutions to a quadratic boundary optimal control problem and provide a characterization of the optimal contol via the Euler-Lagrange first order optimality conditions. We then investigate the analogous problems for a frac-tional Sturm-Liouville problem in a general star graph with mixed Dirichlet and Neumann boundary controls. The existence and uniqueness of minimizers, and the characterization of the first order optimality conditions are obtained in a general star graph by using the method of Lagrange multipliers.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

Université des Antilles FR France (FR) University of Buea CM Cameroon (CM) George Mason University US United States (USA) (US)

How to cite

APA:

Leugering, G., Mophou, G., Moutamal, M., & Warma, M. (2022). OPTIMAL CONTROL PROBLEMS OF PARABOLIC FRACTIONAL STURM-LIOUVILLE EQUATIONS IN A STAR GRAPH. Mathematical Control and Related Fields. https://dx.doi.org/10.3934/mcrf.2022015

MLA:

Leugering, Günter, et al. "OPTIMAL CONTROL PROBLEMS OF PARABOLIC FRACTIONAL STURM-LIOUVILLE EQUATIONS IN A STAR GRAPH." Mathematical Control and Related Fields (2022).

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