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

Document Type : Original Article

Author

Department of General Sciences, College of Engineering, AlMughtaribeen University Khartoum, Sudan

Abstract
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

Subjects


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Volume 6, Issue 3
Summer 2025
Pages 143-152

  • Receive Date 18 March 2025
  • Revise Date 02 August 2025
  • Accept Date 02 October 2025