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Approximate Solution of Homogeneous and Nonhomogeneous 5αth-Order Space-Time Fractional KdV Equations
Swapan Biswas,Uttam Ghosh +1 more
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In this paper, the semi-inverse method is applied to derive the Lagrangian of the 5αth Korteweg de Vries equation (KdV).Abstract:
In this paper, the semi-inverse method is applied to derive the Lagrangian of the 5αth Korteweg de Vries equation (KdV). Then the time and space differential operators of the Lagrangian are replace...read more
Citations
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A variational principle for a fractal nano/microelectromechanical (N/MEMS) system
TL;DR: In this article , the authors established a variational principle for a fractal nano/microelectromechanical (N/MEMS) system by using the semi-inverse method.
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Construction of fractional granular model and bright, dark, lump, breather types soliton solutions using Hirota bilinear method
TL;DR: In this article , the authors designed granular metamaterials considering the granular structures of discrete particles which are different from elastic metammaterials consisting of continuous media, and formulated the fractional granular equation directly in a precompressed spherical chain adopting Hertz law and long wave approximation theory.
References
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Journal ArticleDOI
Homotopy perturbation technique
TL;DR: In this paper, the homotopy perturbation technique does not depend upon a small parameter in the equation and can be obtained uniformly valid not only for small parameters, but also for very large parameters.
Journal ArticleDOI
Fractional diffusion and wave equations
W. R. Schneider,W. Wyss +1 more
TL;DR: In this article, the Green's function of fractional diffusion is shown to be a probability density and the corresponding Green's functions are obtained in closed form for arbitrary space dimensions in terms of Fox functions and their properties are exhibited.
Journal ArticleDOI
Homotopy Perturbation Method for Bifurcation of Nonlinear Problems
TL;DR: In this article, a simple homotopy is constructed by the modified Lindstedt-Poincare method, by the solution and the coefficient of linear term are expanded into series of the embedding parameter.
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The application of homotopy analysis method to nonlinear equations arising in heat transfer
TL;DR: In this paper, the homotopy analysis method (HAM) is compared with the numerical and HPM in the heat transfer file and the auxiliary parameter ℏ, which provides a simple way to adjust and control the convergence region of solution series.