In this work we conceive a method of how the Lagrange multiplier modified Variational Iteration Method can be defined from Laplace transform, And use technique to solve both differential equations and FDEs with initial value conditions, With Illustrative examples by applying VIM Ordinary fractional Differential Equations.

This paper presents a comparison between variational iteration method (VIM) and modfied variational iteration method (MVIM) for approximate solution a system of Volterra integral equation of the first kind. We convert a system of Volterra integral equations to a system of Volterra integro-di®erential equations that use VIM and MVIM to approximate solution of this system and hence obtain an appr...

In this paper, we use the optimal homotopy analysis method (OHAM) for approximate solutions of the fractional order Logistic equation. The numerical results obtained are compared with the results obtained by using variational iteration method (VIM) and Adomian decomposition method (ADM). The fractional derivatives are described by Caputo's sense. Exact and/or approximate analytical solutions of...

In this paper, we introduced a novel variational iteration method (VIM) for solving fractional wave–like and heat–like equations in a large domain which is improved by adding an auxiliary parameter. The suggested method is very effective and we can control the convergence region very easily. By solving some fractional wave-like and heat-like equations with the proposed method and comparing with...