Title

Fractional Sobolev-type inequalities

Abstract

Here we present univariate Sobolev-type fractional inequalities involving fractional derivatives of Canavati, Riemann–Liouville and Caputo types. The results are general L p inequalities forward and converse on a closed interval. We give an application to a fractional ODE. We present also the mean Sobolev-type fractional inequalities. © 2008, Taylor & Francis Group, LLC.

Publication Title

Applicable Analysis

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