@Article{Majewski2023,
author = "Majewski, Marek",
title = "On the existence of optimal solutions to the Lagrange problem governed by a nonlinear Goursat-Darboux problem of fractional order",
journal = "Opuscula Math.",
year = "2023",
volume = "43",
number = "4",
pages = "547--558",
doi = "https://doi.org/10.7494/OpMath.2023.43.4.547",
url = "https://doi.org/10.7494/OpMath.2023.43.4.547",
abstract = "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 measurable function theorem.",
keywords = "fractional partial derivative, fractional boundary problem, existence of optimal solutions, Lagrange problem, lower closure theorem",
issn = "1232-9274"
}