Mathematics > Home > Advances in Pure and Applied Mathematics > Issue 1 (January 2022) > Article
Pasquini Soh Fotsing
University of Buea
Cameroon
Published on 11 January 2022 DOI : 10.21494/ISTE.OP.2021.0757
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