Fractional Sobolev Spaces via Riemann-Liouville Derivatives
Fractional Sobolev Spaces via Riemann-Liouville Derivatives
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Using Riemann-Liouville derivatives, we introduce fractional WOMENS WETSUITS Sobolev 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, and compactness of some imbeddings.An Dishwasher Basket Wheel Axle application to boundary value problems is given as well.
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