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Variational iteration method for the Burgers’ flow with fractional derivatives—New Lagrange multipliers |
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| Authors: | Guo-Cheng Wu Dumitru Baleanu |
| Affiliation: | 1. College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641112, China;2. College of Water Resources and Hydropower, Sichuan University, Chengdu 610065, China;3. Department of Mathematics and Computer Sciences, Cankaya University, 06530 Balgat, Ankara, Turkey;4. Institute of Space Sciences, Magurele-Bucharest, Romania;5. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia |
| Abstract: | The flow through porous media can be better described by fractional models than the classical ones since they include inherently memory effects caused by obstacles in the structures. The variational iteration method was extended to find approximate solutions of fractional differential equations with the Caputo derivatives, but the Lagrange multipliers of the method were not identified explicitly. In this paper, the Lagrange multiplier is determined in a more accurate way and some new variational iteration formulae are presented. |
| Keywords: | Fractional differential equation Caputo derivative Variational iteration method |
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