ON A FRACTIONAL DIRICHLET PROBLEM OF HIGHER ORDER

TitleON A FRACTIONAL DIRICHLET PROBLEM OF HIGHER ORDER
Publication TypeJournal Article
Year of Publication2015
AuthorsMAJEWSKI MAREK, WALCZAK STANISLAW
JournalDynamic Systems and Applications
Volume24
Start Page479
Pagination12
Date Published2015
ISSN1056-2176
AMS Subject Classification26A33, 34A08, 34B15
Abstract

We consider a fractional version of some 2nth order Dirichlet problem. In the paper a sufficient condition for the existence of solution to the aforementioned problem is proved. The proved is based on some variational methods and application of a fractional counterpart of the du Bois-Reymond lemma for the order α ∈( n − 1/2 , n) (see [1])
PDFhttps://acadsol.eu/dsa/articles/24/38-DSA-479-490.pdf
Refereed DesignationRefereed