Lagrange problem for fractional ordinary elliptic system via Dubovitskii–Milyutin method

Nonlinear Analysis

卷:25

Stanisław Walczak¹  Dariusz Idczak² 

[1] State College of Applied Sciences in Skierniewice / University of Lodz;

[2] University of Lodz;

关键词: fractional Laplacian;    Dirichlet boundary conditions;    optimal control;    maximum principle, Dubovitskii–Milyutin theorem;   

DOI  :  10.15388/namc.2020.25.16520

来源: DOAJ

【 摘 要 】

In the paper, we investigate a weak maximum principle for Lagrange problem described by a fractional ordinary elliptic system with Dirichlet boundary conditions. The Dubovitskii–Milyutin approach is used to find the necessary conditions. The fractional Laplacian is understood in the sense of Stone–von Neumann operator calculus.

【 授权许可】

Unknown