Title of article :
The approximate analytical solutions of nonlinear fractional ordinary differential equations
Author/Authors :
Alzaki, Lamees K. Department of Mathematics - University of Thi-Qar, Nasiriyah, Iraq , Kamil Jassim, Hassan Department of Mathematics - University of Thi-Qar, Nasiriyah, Iraq
Abstract :
The Sumudu homotopy perturbation method (SHPM) is applied to solve fractional order nonlinear differential equations in this paper.The current technique incorporates two notable strategies in particular Sumudu transform (ST) and homotopy perturbation method (HPM). The proposed method’s hybrid property decreases the number of the quantity of computations and materials needed. In this method, illustration examples evaluate the accuracy and applicability of the mentioned procedure. The outcomes got by FSHPM are in acceptable concurrence with the specific arrangement of the problem.
Keywords :
Homotopy perturbation method , fractional differential equation , sumudu transform , Caputo fractional derivative
Journal title :
International Journal of Nonlinear Analysis and Applications