On the existence of optimal solutions to the Lagrange problem governed by a nonlinear Goursat-Darboux problem of fractional order

In the paper, the Lagrange problem given by a fractional boundary problem with partial derivatives is considered. The main result is the existence of optimal solutions based on the convexity assumption of a certain set. The proof is based on the lower closure theorem and the appropriate implicit mea...

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Bibliographic Details
Main Author: Marek Majewski
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2023-06-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol43/4/art/opuscula_math_4324.pdf