ð˜²âˆ’ fractional inequalities

George A. Anastassiou

doi:10.4067/S0719-06462011000100005

DOI:

https://doi.org/10.4067/S0719-06462011000100005

Abstract

Here we give qâˆ’fractional Poincar´e type, Sobolev type and Hilbert-Pachpatte type integral inequalities, involving qâˆ’fractional derivatives of functions. We give also their generalized versions.

Keywords

ð˜²âˆ’fractional derivative , ð˜²âˆ’fractional integral , ð˜²âˆ’fractional Poincar´e inequality , ð˜²âˆ’ fractional Sobolev inequality , ð˜²âˆ’fractional Hilbert-Pachpatte inequality

George A. Anastassiou Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.

Pages: 61–71
Date Published: 2011-03-01
Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal

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ð˜²âˆ’ fractional inequalities

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