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- W2896730448 abstract "Abstract In this paper, we investigate on the exact solutions of the Stokes’ first problem for generalized second grade fluid with a new fractional derivative operator. The Riemann–Liouville and the Caputo fractional derivative are substituted by the Atangana–Baleanu fractional derivative in the Stokes’ first fractional differential equation. With the Laplace transform given by the Atangana–Baleanu fractional derivative operator, we give for the Stokes’ first fractional differential equations the exact solutions for the velocity and temperature field. The Fourier sine transform and the Laplace transform will be used to get the exact solutions of the Stokes’ first fractional differential equations. The solutions of the Stokes’ first differential equations for a viscous Newtonian fluid, as well as those corresponding to a second grade fluid, are obtained in limiting cases, and an approach with the graphical surfaces representations for the exact solutions is proposed." @default.
- W2896730448 created "2018-10-26" @default.
- W2896730448 creator A5032367490 @default.
- W2896730448 date "2018-12-01" @default.
- W2896730448 modified "2023-10-10" @default.
- W2896730448 title "Stokes’ first problem for heated flat plate with Atangana–Baleanu fractional derivative" @default.
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- W2896730448 doi "https://doi.org/10.1016/j.chaos.2018.10.014" @default.
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