Opial type \(L^{p}\)-inequalities for fractional derivatives
type: Item
instance of: scholarly article
title: Opial type \(L^{p}\)-inequalities for fractional derivatives
zbMATH Open document ID: 1001.26011
DOI: 10.1155/S016117120201311X
author: George A. Anastassiou
author: J. J. Koliha
author: Josip Peǎrić
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/49591
full work available at URL: S016117120201311X.html
review text: The paper is a certain revision of the previous article of the first author [``General fractional Opial type inequalities'', Acta Appl. Math. 54, No. 3, 303-317 (1998; Zbl 0921.26010)]. In this paper the authors present several versions of the weighted Opial-type inequality, considering \(L_p\)-setting instead of \(C\)-setting for considered fractional derivatives. They also make a change of the method of the proof, basing themselves on a more natural idea of the index law instead of making use of the fractional Taylor formula.
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 1780404
zbMATH Keywords: fractional derivatives
zbMATH Keywords: fractional integrals
zbMATH Keywords: Opial inequality
zbMATH Keywords: index law
reviewed by: S. G. Samko
MaRDI profile type: Publication
OpenAlex ID: W2116447647
description: scientific article; zbMATH DE number 1780404