Fractional Sobolev Spaces via Riemann-Liouville Derivatives

Fractional Sobolev Spaces via Riemann-Liouville Derivatives

Blog Article

Using Riemann-Liouville derivatives, we introduce fractional Sobolev EAR TONE spaces, characterize them, define weak fractional derivatives, and show that they coincide with the Riemann-Liouville ones.Next, we prove equivalence of some norms in the introduced spaces and derive their completeness, reflexivity, separability, California Poppy Seed and compactness of some imbeddings.An application to boundary value problems is given as well.