Title

Balanced fractional opial inequalities

Abstract

Here we present Lp, p > 1, fractional Opial type inequalities subject to high order boundary conditions. They involve the right and left Caputo, Riemann-Liouville fractional derivatives. These derivatives are blended together into the balanced Caputo, Riemann-Liouville, respectively, fractional derivative. This balanced fractional derivative is introduced here for the first time. We give applications to a special case. © 2009 Elsevier Ltd. All rights reserved.

Publication Title

Chaos, Solitons and Fractals

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