Title

Opial-type inequalities for functions and their ordinary and balanced fractional derivatives

Abstract

Here we present L p, p > 0, 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. We give an application to a balanced fractional boundary value problem by proving uniqueness of the solution. © 2012 EUDOXUSPR86ESS, LLC.

Publication Title

Journal of Computational Analysis and Applications

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