Poincaré–Type Fractional Inequalities


Here we present Poincaré-type fractional inequalities involving fractional derivatives of Canavati, Riemann—Liouville, and Caputo types. The results are general L p inequalities forward and reverse, univariate and multivariate, on a spherical shell. We give applications to ODEs and PDEs. We present also mean Poincaré-type fractional inequalities. This treatment relies on [57].


Fractional Derivative Spherical Shell Multivariate Case Caputo Fractional Derivative Caputo Derivative 
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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Department Mathematical SciencesUniversity of MemphisMemphisUSA

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