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,W-1(a, b), and the Bounded Variation spaces of fractional order s, denoted by BVs(a, b): these spaces are studied with the aim of providing a suitable functional framework for fractional variational models in image analysis
For fractional derivatives and time-fractional differential equations, we construct a framework on t...
Fractional variational approach has gained much attention in recent years. There are famous fraction...
This dissertation is comprised of four integral parts. The first part comprises a self-contained new...
We establish some notation and properties of the bilateral Riemann-Liouville fractional derivative D...
We establish some properties of the bilateral Riemann–Liouville fractional derivative Ds. We set the...
We investigate the 1D Riemann-Liouville fractional derivative focusing on the connections with fract...
We investigate the 1D Riemann-Liouville fractional derivative focusing on the connections with fract...
Using Riemann-Liouville derivatives, we introduce fractional Sobolev spaces, characterize them, defi...
International audienceWe investigate the 1D Riemann-Liouville fractional derivative focusing on th...
A new fractional function space ELα[a,b] with Riemann–Liouville fractional derivative and its relate...
Taking inspiration from a recent paper by Bergounioux et al., we study the Riemann-Liouville fractio...
We first prove the equivalence of two definitions of Riemann-Liouville fractional integral on time s...
AbstractWe characterize the pointwise multipliers which maps a Sobolev space H˙r(Rd) to a Sobolev sp...
For fractional derivatives and time-fractional differential equations, we construct a framework on t...
Fractional variational approach has gained much attention in recent years. There are famous fraction...
This dissertation is comprised of four integral parts. The first part comprises a self-contained new...
We establish some notation and properties of the bilateral Riemann-Liouville fractional derivative D...
We establish some properties of the bilateral Riemann–Liouville fractional derivative Ds. We set the...
We investigate the 1D Riemann-Liouville fractional derivative focusing on the connections with fract...
We investigate the 1D Riemann-Liouville fractional derivative focusing on the connections with fract...
Using Riemann-Liouville derivatives, we introduce fractional Sobolev spaces, characterize them, defi...
International audienceWe investigate the 1D Riemann-Liouville fractional derivative focusing on th...
A new fractional function space ELα[a,b] with Riemann–Liouville fractional derivative and its relate...
Taking inspiration from a recent paper by Bergounioux et al., we study the Riemann-Liouville fractio...
We first prove the equivalence of two definitions of Riemann-Liouville fractional integral on time s...
AbstractWe characterize the pointwise multipliers which maps a Sobolev space H˙r(Rd) to a Sobolev sp...
For fractional derivatives and time-fractional differential equations, we construct a framework on t...
Fractional variational approach has gained much attention in recent years. There are famous fraction...
This dissertation is comprised of four integral parts. The first part comprises a self-contained new...
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