Solving the Space -Time Fractional RLW and MRLW Equations Using Modified Extended Tanh Method with the Riccati Equation
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 21, Issue 4
Abstract
In the present paper, a traveling wave solution has been established using the modified extended tanh method for space-time fractional nonlinear partial differential equations. We used this method to find exact solutions for different types of the space-time fractional nonlinear partial differential equations such as space-time fractional regularized long wave equation (RLWE) and space-time fractional modified regularized long wave equation (MRLW) which are the important soliton equations. Both equations are reduced to ordinary differential equations by using of fractional complex transform and properties of modified Riemann-Liouville derivative.
Authors and Affiliations
Kamal R. Raslan, Khalid K. Ali, Muhannad A. Shallal
Keywords
Related Articles
- EP ID EP322150
- DOI 10.9734/BJMCS/2017/32108
- Views 87
- Downloads 0
Variants of Compatible Mappings in Menger Spaces
In this paper, we introduce the notions of compatible mappings of type(R), type (K) and type (E) in Mengers paces and prove some common fixed point theorems for these mappings. In fact, we call these maps as variants of...
The Gamma Function and Its Analytical Applications
This paper explores the history and properties of the Gamma function with some analytical applications. Specifically, the Gamma function is employed to prove the legitimacy of the Standard Normal Distribution and for eva...
A Design of a Low-Reynolds Number Airfoil that Leads to the Formation of Separation Bubbles at the Leading Edge
The aerodynamics of airfoils at low Reynolds numbers (Re) has become increasingly important from both fundamental and industrial points of view, due to recent developments in small wind turbines, small-unmanned aerial ve...
Modeling Pulmonary Tuberculosis for Optimal Control Including Prevention
It is formulated and analyzed an optimal control problem for the transmission dynamics of the SEIS-like pulmonary tuberculosis (TB) including prevention by means of non-linear differential equations, which are linked to...
Convergence Results of Two Step Iteration Procedure with Errors for a Pair of Asymptotically Non-Expansive Mappings in the Intermediate Sense
In this paper, we study strong and weak convergence results of a two step iterative process with errors for a pair of asymptotically non-expansive mapping in the intermediate sense.Our results generalize the correspondin...