Combination of Laplace transform and residual power series techniques to solve autonomous n-dimensional fractional nonlinear systems

Abstract

In this work, a new iterative algorithm is presented to solve autonomous n-dimensional fractional nonlinear systems analytically. The suggested scheme is combination of two methods; the Laplace transform and the residual power series. The methodology of this algorithm is presented in details. For the accuracy and effectiveness purposes, two numerical examples are discussed. Finally, the impact of the fractional order acting on these autonomous systems is investigated using graphs and tables.

Keywords

• caputo-fractional autonomous nonlinear systems
• laplace transform
• residual power series method