Some well‐posed results on the time‐fractional Rayleigh–Stokes problem with polynomial and gradient nonlinearities
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Publication:6070046
DOI10.1002/mma.7789zbMath1527.35477OpenAlexW3199278939MaRDI QIDQ6070046
Tuan Anh Nguyen, Nguyen Hoang Luc, Nguyen Huy Tuan
Publication date: 20 November 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.7789
fractional derivativenonlinear problemnonlinear source termRiemann-LiouvilleRayleigh-Stokes equationtime-fractional initial value problem
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)
Cites Work
- Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
- Fractional elliptic equations, Caccioppoli estimates and regularity
- Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than \(1/2\) and random dynamical systems
- An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid
- Almost periodic and pseudo-almost periodic solutions to fractional differential and integro-differential equations
- Almost automorphic solutions to a class of semilinear fractional differential equations
- The Rayleigh-Stokes problem for heated second grade fluids
- A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
- Flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate
- Abstract Volterra integrodifferential equations with applications to parabolic models with memory
- On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems
- Initial inverse problem for the nonlinear fractional Rayleigh-Stokes equation with random discrete data
- Well-posedness of an initial value problem for fractional diffusion equation with Caputo-Fabrizio derivative
- Semilinear Caputo time-fractional pseudo-parabolic equations
- On the time‐fractional Keller‐Segel model for chemotaxis
- Existence and regularity of inverse problem for the nonlinear fractional Rayleigh‐Stokes equations
- On initial and terminal value problems for fractional nonclassical diffusion equations
- A local theory for a fractional reaction-diffusion equation
- New anisotropic models from isotropic solutions
- On fractional heat equations with non-local initial conditions
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