Dual fractional modeling of rate type fluid through <scp>non‐local</scp> differentiation
DOI10.1002/num.22633OpenAlexW3105653164MaRDI QIDQ6086469
Abdon Atangana, Kashif Ali Abro
Publication date: 12 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22633
integral transformmathematical functionsfractional Oldroyd-B fluid modelMarkovian and non-Markovian dynamics
Markov processes: estimation; hidden Markov models (62M05) PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) Flows in porous media; filtration; seepage (76S05) Viscoelastic fluids (76A10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Magnetohydrodynamics and electrohydrodynamics (76W05) Nonlinear constitutive equations for materials with memory (74D10) Laplace transform (44A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Non-Markovian processes: hypothesis testing (62M07) Fractional partial differential equations (35R11) Classical solutions to PDEs (35A09)
Cites Work
- Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model
- New exact solutions for an Oldroyd-B fluid in a porous medium
- Axial couette flow of two kinds of fractional viscoelastic fluids in an annulus
- Magnetohydrodynamic electroosmotic flow of Maxwell fluids with Caputo-Fabrizio derivatives through circular tubes
- Analytical solutions of fractional Walter's B fluid with applications
- A comparative analysis of sulfate (\(SO_4^{-2}\)) ion concentration via modern fractional derivatives: an industrial application to cooling system of power plant
- On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
- Mathematical analysis and numerical simulation for a smoking model with Atangana-Baleanu derivative
- Behavioural study of symbiosis dynamics via the Caputo and Atangana-Baleanu fractional derivatives
- Modeling chickenpox disease with fractional derivatives: from Caputo to Atangana-Baleanu
- Some exact solutions for the helical flow of a generalized Oldroyd-B fluid in a circular cylinder
- Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate
- Fractional modeling of blood ethanol concentration system with real data application
- Dual Fractional Analysis of Blood Alcohol Model Via Non-integer Order Derivatives
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