exit

Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Forthcoming papers   > Article

[Forthcoming] Optimal control of a fractional diffusion – Sturm-Liouville problem on a star graph

[Forthcoming] Contrôle optimal d’une diffusion fractionnée – Problème de Sturm-Liouville sur un graphe étoile


Pasquini Soh Fotsing
University of Buea
Cameroon



Published on 21 January 2021   DOI :

Abstract

Résumé

Keywords

Mots-clés

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.

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.

Rieman-Liouville fractional derivative Caputo fractional derivative fractional integral Sturm-Liouville equations boundary value problem optimal control optimality system

Rieman-Liouville fractional derivative Caputo fractional derivative fractional integral Sturm-Liouville equations boundary value problem optimal control optimality system