Bilateral Riemann-Liouville Fractional Sobolev spaces
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资源简介:
We establish some notation and properties of the bilateral Riemann-Liouville fractional derivative $D^s.$ We introduce the associated Sobolev spaces of fractional order $s$, denoted by $W^{s,1}(a,b)$, and the Bounded Variation spaces of fractional order $s$, denoted by $BV^{s}(a,b)$: these spaces are studied with the aim of providing a suitable functional framework for fractional variational models in image analysis.
创建时间:
2022-01-21



