Home >> Applicable Analysis, Volume 87, Number 5

Fractional Sobolev-type inequalities

Author: Anastassiou, George

Source: Applicable Analysis, Volume 87, Number 5, May 2008 , pp. 607-624(18)

Publisher: Taylor and Francis Ltd

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Abstract:

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

Keywords: Sobolev-type inequality; fractional inequality; fractional derivative

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00036810802144097

Affiliations: 1: Department of Mathematical Sciences, University of Memphis, Memphis, TN, USA

Publication date: 2008-05-01

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