Fractional Sobolev-type inequalities

摘要

Here we present univariate Sobolev-type fractional inequalities involving fractional derivatives of Canavati, Riemann-Liouville and Caputo types. The results are general L{sub}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.