Copyright © 2015 Mohamed S. Al-luhaibi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper presents the approximate analytical solutions to solve the nonlinear gas dynamics and coupled Burger’s equations with fractional time derivative. By using initial values, the explicit solutions of the equations are solved by using a reliable algorithm. Numerical results show that the new iterative method is easy to implement and accurate when applied to time-fractional partial differential equations. 1
Fractional order nonlinear evolution equations play important roles to give a depiction of the compl...
Exact solutions of coupled burgers equation with time-and space-fractional derivativ
WOS: 000281546300011A scheme is developed to study numerical solution of the space- and time-fractio...
Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, p...
Abstract In this paper, a new numerical technique implements on the time-space pseudospectral method...
This paper presents the results of applying a new iterative method to linear and nonlinear fractiona...
This paper presents the results of applying a new iterative method to linear and nonlinear fractiona...
The nonlinear time fractional order coupled differential equations are considered in the present inv...
In this paper, we consider the time-fractional two-mode coupled Burgers equation with the Caputo fra...
Purpose: This paper aims to directly extend the homotopy perturbation method to study the coupled Bu...
Abstract In this paper, the variational iteration method (VIM) is applied to solve the time and spac...
A very new technique, coupled fractional reduced differential transform, has been implemented to obt...
Abstract We propose a new method called the fractional reduced differential transform method (FRDTM)...
Numerous applied mathematics and physical applications, such as the simulation of financial mathemat...
In this paper we study Fractional Burger's Equation of the form ...
Fractional order nonlinear evolution equations play important roles to give a depiction of the compl...
Exact solutions of coupled burgers equation with time-and space-fractional derivativ
WOS: 000281546300011A scheme is developed to study numerical solution of the space- and time-fractio...
Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, p...
Abstract In this paper, a new numerical technique implements on the time-space pseudospectral method...
This paper presents the results of applying a new iterative method to linear and nonlinear fractiona...
This paper presents the results of applying a new iterative method to linear and nonlinear fractiona...
The nonlinear time fractional order coupled differential equations are considered in the present inv...
In this paper, we consider the time-fractional two-mode coupled Burgers equation with the Caputo fra...
Purpose: This paper aims to directly extend the homotopy perturbation method to study the coupled Bu...
Abstract In this paper, the variational iteration method (VIM) is applied to solve the time and spac...
A very new technique, coupled fractional reduced differential transform, has been implemented to obt...
Abstract We propose a new method called the fractional reduced differential transform method (FRDTM)...
Numerous applied mathematics and physical applications, such as the simulation of financial mathemat...
In this paper we study Fractional Burger's Equation of the form ...
Fractional order nonlinear evolution equations play important roles to give a depiction of the compl...
Exact solutions of coupled burgers equation with time-and space-fractional derivativ
WOS: 000281546300011A scheme is developed to study numerical solution of the space- and time-fractio...