Solving nonlinear fractional autonomous dynamical systems using a Laplace-Daftardar-Jafari method

In this manuscript, we present a novel analytical method, namely the Laplace Daftardar Jafari method (LDJM), for solving nonlinear fractional-order autonomous dynamical systems using the Caputo fractional derivative. The proposed method is demonstrated to be highly accurate and efficient through various examples, graphical illustrations, and numerical comparisons with the Laplace residual power series method (LRPS). The LDJM has the potential to be applied to a wide range of complex dynamical systems, including biological and physical systems.

Keywords:

Nonlinear fractional-order systems , Autonomous dynamical systems , Laplace Daftardar Jafari method , Caputo fractional derivative