In this paper, a comparison for the solutions of nonlinear Swift–Hohenberg equation with time-space fractional derivatives has been analyzed. The two most promising techniques, fractional variational iteration method (FVIM) and the homotopy analysis method have been chosen for the comparison. The two different definitions of fractional calculus are considered to solve time-fractional derivative separately for the considered approaches. Also, the space fractional derivative is described in the Reisz sense. Analytical and numerical solutions for various combinations of the parameters are obtained. Numerical comparisons have been made for different values of parameters and depicted
In this paper, we find approximate analytical solutions to fractional order “Swift-Hohenberg equatio...
Nonlinear phenomena play a crucial role in applied mathematics and physics. Although it is very easy...
AbstractIn this study, we present numerical solutions for the space- and time-fractional Fokker–Plan...
AbstractIn this paper, a comparison for the solutions of nonlinear Swift–Hohenberg equation with tim...
AbstractIn this paper, the most effective methods, the homotopy perturbation method (HPM) and the di...
Many phenomena in physics and engineering can be built by linear and nonlinear fractional partial di...
This paper find the most effective method to solve the time-fractional Swift-Hohenberg equation w...
We study a type of iterative method and apply it to time-fractional Swift-Hohenberg equation with in...
AbstractThis paper presents the approximate analytical solutions to solve the nonlinear Fornberg–Whi...
The purpose of this paper was to obtain the analytical approximate solution of time-fractional Fornb...
AbstractThe purpose of this paper was to obtain the analytical approximate solution of time-fraction...
This paper presents the approximate analytical solutions to solve the nonlinear Fornberg-Whitham equ...
Most physical phenomena are formulated in the form of non-linear fractional partial differential equ...
AbstractThis paper presents numerical solutions of the linear and nonlinear Fokker–Planck partial di...
Abstract In this paper, the variational iteration method (VIM) is applied to solve the time and spac...
In this paper, we find approximate analytical solutions to fractional order “Swift-Hohenberg equatio...
Nonlinear phenomena play a crucial role in applied mathematics and physics. Although it is very easy...
AbstractIn this study, we present numerical solutions for the space- and time-fractional Fokker–Plan...
AbstractIn this paper, a comparison for the solutions of nonlinear Swift–Hohenberg equation with tim...
AbstractIn this paper, the most effective methods, the homotopy perturbation method (HPM) and the di...
Many phenomena in physics and engineering can be built by linear and nonlinear fractional partial di...
This paper find the most effective method to solve the time-fractional Swift-Hohenberg equation w...
We study a type of iterative method and apply it to time-fractional Swift-Hohenberg equation with in...
AbstractThis paper presents the approximate analytical solutions to solve the nonlinear Fornberg–Whi...
The purpose of this paper was to obtain the analytical approximate solution of time-fractional Fornb...
AbstractThe purpose of this paper was to obtain the analytical approximate solution of time-fraction...
This paper presents the approximate analytical solutions to solve the nonlinear Fornberg-Whitham equ...
Most physical phenomena are formulated in the form of non-linear fractional partial differential equ...
AbstractThis paper presents numerical solutions of the linear and nonlinear Fokker–Planck partial di...
Abstract In this paper, the variational iteration method (VIM) is applied to solve the time and spac...
In this paper, we find approximate analytical solutions to fractional order “Swift-Hohenberg equatio...
Nonlinear phenomena play a crucial role in applied mathematics and physics. Although it is very easy...
AbstractIn this study, we present numerical solutions for the space- and time-fractional Fokker–Plan...