On the fractional signals and systems

R Magin, MD Ortigueira, I Podlubny, J Trujillo - Signal Processing, 2011 - Elsevier
A look into fractional calculus and their applications from the signal processing point of view
is done in this paper. A coherent approach to the fractional derivative is presented, leading …

New applications of variational iteration method

MA Abdou, AA Soliman - Physica D: Nonlinear Phenomena, 2005 - Elsevier
The variational iteration method is used for solving three types of nonlinear partial
differential equations such as coupled Schrodinger-KdV, generalized KdV and shallow …

[HTML][HTML] Variational iteration method—some recent results and new interpretations

JH He - Journal of computational and applied mathematics, 2007 - Elsevier
This paper is an elementary introduction to the concepts of variational iteration method. First,
the main concepts in variational iteration method, such as general Lagrange multiplier …

[HTML][HTML] Variational iteration method: new development and applications

JH He, XH Wu - Computers & Mathematics with Applications, 2007 - Elsevier
Variational iteration method has been favourably applied to various kinds of nonlinear
problems. The main property of the method is in its flexibility and ability to solve nonlinear …

Application of variational iteration method to nonlinear differential equations of fractional order

ΖΜ Odibat, S Momani - International Journal of Nonlinear Sciences …, 2006 - degruyter.com
In this paper, the variational iteration method is implemented to give approximate solutions
for nonlinear differential equations of fractional order. In this method the problems are …

[HTML][HTML] Variational iteration method for solving Burger's and coupled Burger's equations

MA Abdou, AA Soliman - Journal of computational and Applied …, 2005 - Elsevier
By means of variational iteration method the solutions of Burger's equation and coupled
Burger's equations are exactly obtained, comparison with the Adomian decomposition …

Numerical comparison of methods for solving linear differential equations of fractional order

S Momani, Z Odibat - Chaos, Solitons & Fractals, 2007 - Elsevier
In this article, we implement relatively new analytical techniques, the variational iteration
method and the Adomian decomposition method, for solving linear differential equations of …

Application of He's variational iteration method to Helmholtz equation

S Momani, S Abuasad - Chaos, Solitons & Fractals, 2006 - Elsevier
In this article, we implement a new analytical technique, He's variational iteration method for
solving the linear Helmholtz partial differential equation. In this method, general Lagrange …

Analytical approach to linear fractional partial differential equations arising in fluid mechanics

S Momani, Z Odibat - Physics Letters A, 2006 - Elsevier
In this Letter, we implement relatively new analytical techniques, the variational iteration
method and the Adomian decomposition method, for solving linear fractional partial …

[HTML][HTML] Numerical methods for nonlinear partial differential equations of fractional order

Z Odibat, S Momani - Applied Mathematical Modelling, 2008 - Elsevier
In this article, we implement relatively new analytical techniques, the variational iteration
method and the Adomian decomposition method, for solving nonlinear partial differential …