On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on \(\mathbb{R}^N\)
type: Item
instance of: scholarly article
title: On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on \(\mathbb{R}^N\)
zbMATH Open document ID: 1503.35163
author: Yanyan Li
published in: Advances in Nonlinear Analysis
publication date: 2022-01-11T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7455140
zbMATH Keywords: fractional derivative
zbMATH Keywords: Rayleigh-Stokes problem
zbMATH Keywords: well-posedness
zbMATH Keywords: integrability
MaRDI profile type: Publication
full work available at URL: anona-2021-0211
OpenAlex ID: W3215015942
cites work: Decay estimates for evolution equations with classical and fractional time-derivatives
cites work: A parabolic problem with a fractional time derivative
cites work: Q4327845
cites work: Existence and regularity results for terminal value problem for nonlinear fractional wave equations
cites work: An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid
cites work: Subordination principle for a class of fractional order differential equations
cites work: On a nonlinear Volterra integrodifferential equation involving fractional derivative with Mittag-Leffler kernel
cites work: Q4528982
cites work: Q4434430
cites work: Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second-grade fluid with fractional derivatives
cites work: A Fourier method and an extrapolation technique for Stokes' first problem for a heated generalized second-grade fluid with fractional derivative
cites work: \(L_{p}\)-estimates for time fractional parabolic equations with coefficients measurable in time
cites work: Exponential stability of stochastic evolution equations driven by small fractional Brownian motion with Hurst parameter in \((1/2,1)\)
cites work: Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation
cites work: The Calderón problem for variable coefficients nonlocal elliptic operators
cites work: Well-posedness of Hamilton–Jacobi equations with Caputo’s time fractional derivative
cites work: Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms
cites work: Inverse problems for heat equation and space-time fractional diffusion equation with one measurement
cites work: Space-time estimates of linear flow and application to some nonlinear integro-differential equations corresponding to fractional-order time derivative
cites work: On exact solutions for some oscillating motions of a generalized Oldroyd-B fluid
cites work: Cauchy problems for Keller-Segel type time-space fractional diffusion equation
cites work: Exact analytic solutions for the unsteady flow of a non-Newtonian fluid between two cylinders with fractional derivative model
cites work: Q5190149
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Regularity of the solution for a final value problem for the Rayleigh‐Stokes equation
cites work: Initial inverse problem for the nonlinear fractional Rayleigh-Stokes equation with random discrete data
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: The Cauchy problem for fractional Navier-Stokes equations in Sobolev spaces
cites work: Evolutionary Integral Equations and Applications
cites work: The Rayleigh--Stokes problem for a heated generalized second-grade fluid with fractional derivative model
cites work: Liouville property of fractional Lane-Emden equation in general unbounded domain
cites work: Exact solutions of the Rayleigh-Stokes problem for a heated generalized second grade fluid in a porous half-space
cites work: Numerical algorithm for two dimensional fractional Stokes' first problem for a heated generalized second grade fluid with smooth and non-smooth solution
cites work: An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid
cites work: Well-posedness and regularity for fractional damped wave equations
cites work: Existence and regularity results of a backward problem for fractional diffusion equations
cites work: New results on controllability of fractional evolution systems with order \(\alpha\in (1,2)\)
cites work: The nonlinear Rayleigh‐Stokes problem with Riemann‐Liouville fractional derivative
DOI: 10.1515/ANONA-2021-0211
description: scientific article; zbMATH DE number 7455140