On the multistage homotopy procedure for a fractional Lorenz system

El-Namoury, A.R.; Hikal, M.M.; Abu Ibrahim, Mahmoud A.

doi:10.21608/djs.2018.138900

On the multistage homotopy procedure for a fractional Lorenz system

Document Type : Research and Reference

Authors

¹ Mathematics Department, Faculty of Science, Tanta University, Tanta 31527, Egypt

² Physics and Engineering Mathematics Department, Faculty of Engineering, Tanta University, Tanta, Egypt

10.21608/djs.2018.138900

Abstract

In this article, the multistage homotopy perturbation method (MHPM) is applied for solving differential systems with fractional order derivatives in the Caputo sense. This method is a modification of the standard homotopy perturbation method (HPM). A fractional Lorenz system as an application is presented for which some numerical comparisons between the (MHPM) and (HPM) with the 4th order Runge-Kutta method (RK4). The results reveal that the used pre-mentioned procedure (MHPM) is a reliable and an effective tool for constructing an accurate approximate solution for the fractional Lorenz system.

Keywords

References

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