Linear subdiffusion in weighted fractional Hölder spaces
From MaRDI portal
Publication:2169160
DOI10.3934/eect.2021050zbMath1496.35432OpenAlexW3202870277MaRDI QIDQ2169160
Nataliya Vasylyeva, Mykola Valeriiovych Krasnoschok
Publication date: 2 September 2022
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/eect.2021050
Initial-boundary value problems for second-order parabolic equations (35K20) Fractional derivatives and integrals (26A33) Integral representations of solutions to PDEs (35C15) A priori estimates in context of PDEs (35B45) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Decay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\)
- Evolutionary integral equations and applications
- An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid
- On a multidimensional moving boundary problem governed by anomalous diffusion: analytical and numerical study
- Uniqueness for an inverse problem for a semilinear time-fractional diffusion equation
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Existence and regularity of solutions to time-fractional diffusion equations
- An \(L_{q}(L_{p})\)-theory for the time-fractional evolution equations with variable coefficients
- Maximal regularity of type \(L_p\) for abstract parabolic Volterra equations
- Quasilinear evolutionary equations and continuous interpolation spaces.
- Solvability of linear boundary value problems for subdiffusion equations with memory
- The Cauchy problem for the fractional diffusion equation in a weighted Hölder space
- A stability result for the determination of order in time-fractional diffusion equations
- Equivalent definitions of Caputo derivatives and applications to subdiffusion equations
- Local density of solutions to fractional equations
- Hölder continuous solutions for fractional differential equations and maximal regularity
- Boundary integral solution of the time-fractional diffusion equation
- Stability, instability, and blowup for time fractional and other nonlocal in time semilinear subdiffusion equations
- General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems
- On maximal regularity for the Cauchy-Dirichlet parabolic problem with fractional time derivative
- Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion
- REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
- On a class of fractional differential equations in a Sobolev space
- Regularized Reconstruction of the Order in Semilinear Subdiffusion with Memory
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- ESTIMATES OF SOLUTIONS OF PARABOLIC SYSTEMS IN WEIGHTED HÖLDER CLASSES AND SOME OF THEIR APPLICATIONS
- Schauder estimates for equationswith fractional derivatives
- INVERSE PROBLEMS FOR A GENERALIZED SUBDIFFUSION EQUATION WITH FINAL OVERDETERMINATION
- Semilinear subdiffusion with memory in multidimensional domains
- Stochastic models for fractional calculus
- Analytic semigroups and optimal regularity in parabolic problems
- Estimates for the solution of the second initial boundary-value problem for the Stokes system in the spaces of functions having Hölder continuous derivatives with respect to the spatial variables