Application of variational iteration method to fractional initial-value problems
Articles > Article ยท 2009
Authors: Inan ATES, Ahmet YILDIRIM
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, Journal Indexed in SCI Expanded, International, 2009, vol 10, pp 877-883
Summary
In this study, the variational iteration method is applied to solve linear and nonlinear fractional initial-value problems (flVPs). The fractional derivatives are described by Caputo's sense. Fractional initial-value problems (fIVPs) arise from many fields of physics and play a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving flVPs has become an active research undertaking. Exact and/or approximate analytical solutions of the fIVPs are obtained by the variational iteration method. The results of applying this procedure to the studied cases show the high accuracy, simplicity and efficiency of the approach.