Advances in Differential Equations

On a generalized fractional Du Bois-Reymond lemma and its applications

Rafał Kamocki

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


In the paper, we derive a fractional version of the Du Bois-Reymond lemma for a generalized Riemann-Liouville derivative (derivative in the Hilfer sense). It is a generalization of well known results of such a type for the Riemann-Liouville and Caputo derivatives. Next, we use this lemma to investigate critical points of a some Lagrange functional (we derive the Euler-Lagrange equation for this functional).

Article information

Adv. Differential Equations, Volume 23, Number 11/12 (2018), 889-908.

First available in Project Euclid: 25 September 2018

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26A33, 70H03


Kamocki, Rafał. On a generalized fractional Du Bois-Reymond lemma and its applications. Adv. Differential Equations 23 (2018), no. 11/12, 889--908.

Export citation