Inverse problem of determining the order of the fractional derivative in the Rayleigh-Stokes equation
DOI10.1007/S13540-023-00178-9zbMath1522.76057arXiv2303.10669OpenAlexW4383371535MaRDI QIDQ6073822
Oqila Mukhiddinova, Ravshan Ashurov
Publication date: 12 October 2023
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.10669
inverse problemFourier methodRayleigh-Stokes problemdetermination of order of derivativedependence of solution on the order of derivetive
Non-Newtonian fluids (76A05) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11) Inverse problems in fluid mechanics (76M21)
Cites Work
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- An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid
- The Rayleigh--Stokes problem for a heated generalized second-grade fluid with fractional derivative model
- Stokes' first problem for a second grade fluid in a porous half-space with heated boundary
- Exact solutions for electro-osmotic flow of viscoelastic fluids in rectangular micro-channels
- The Rayleigh-Stokes problem for an edge in a generalized Oldroyd-B fluid
- On a method of solution of systems of fractional pseudo-differential equations
- Inverse problem for finding the order of the fractional derivative in the wave equation
- Determination of source term for the fractional Rayleigh-Stokes equation with random data
- An inverse problem of determining orders of systems of fractional pseudo-differential equations
- Identification of source term for the ill-posed Rayleigh-Stokes problem by Tikhonov regularization method
- Regularization of the fractional Rayleigh-Stokes equation using a fractional Landweber method
- Reconstructing the right-hand side of the Rayleigh-Stokes problem with nonlocal in time condition
- Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations
- Determination of the order of fractional derivative for subdiffusion equations
- Inverse problem of determining an order of the Caputo time-fractional derivative for a subdiffusion equation
- Stokes’ first problem for an Oldroyd-B fluid in a porous half space
- Fractional Differential Equations
- Identifying initial condition of the Rayleigh‐Stokes problem with random noise
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