Analytical study of time-fractional Navier-Stokes equation by using transform methods
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Publication:1796716
DOI10.1186/S13662-016-0783-9zbMath1419.35230OpenAlexW2292680918WikidataQ59468054 ScholiaQ59468054MaRDI QIDQ1796716
Publication date: 17 October 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-016-0783-9
Other nonlinear integral equations (45G10) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)
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Cites Work
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- On the coupling of the homotopy perturbation method and Laplace transformation
- A short remark on fractional variational iteration method
- An iterative method for solving nonlinear functional equations
- The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations
- Application of He's variational iteration method and Adomian's decomposition method to the fractional KdV-Burgers-Kuramoto equation
- Reduced differential transform method for generalized KdV equations
- Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations
- A review of the decomposition method in applied mathematics
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- A reliable modification of Adomian decomposition method
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
- A new analytical modelling for fractional telegraph equation via Laplace transform
- A new analytical solution procedure for nonlinear integral equations
- Homotopy perturbation technique
- Application of homotopy perturbation method to nonlinear wave equations
- Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
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