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

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


Pasquini Soh Fotsing
University of Buea
Cameroon



Publié le 21 janvier 2021   DOI :

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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