New families of fractional Sobolev spaces
DOI10.1007/s43037-022-00198-2zbMath1503.46031arXiv2007.10245OpenAlexW3043642058MaRDI QIDQ2157343
Mitchell Sutton, Xiaobing Feng
Publication date: 27 July 2022
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.10245
embedding theoremsdensity theoremextension theoremsfundamental theorem of weak fractional calculusone-sided and symmetric fractional Sobolev spacesone-sided trace theoremweak fractional derivatives
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)
Cites Work
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- Hitchhiker's guide to the fractional Sobolev spaces
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Functional analysis, Sobolev spaces and partial differential equations
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Elliptic partial differential equations of second order
- On a new class of fractional calculus of variations and related fractional differential equations.
- Advanced methods in the fractional calculus of variations
- Approximate controllability for fractional diffusion equations by interior control
- Fractional Partial Differential Equations and Their Numerical Solutions
- Nonlocal Modeling, Analysis, and Computation
- A new theory of fractional differential calculus
- An Extension Problem Related to the Fractional Laplacian
- Variational formulation for the stationary fractional advection dispersion equation
- Mittag-Leffler Functions, Related Topics and Applications
- Function Spaces and Partial Differential Equations
- H = W
- Stochastic models for fractional calculus
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