Sumudu decomposition method for Solving fractional-order Logistic differential equation

Ahmad H Mtawa; A. M. S Mahdy; A. S Mohamed

doi:10.24297/jam.v10i7.1780

Authors

Ahmad H Mtawa Department of Mathematics, Faculty of Science, Benghize University, ALmarj, Libya.
A. M. S Mahdy Faculty of Science, Zagazig University, Zagazig,
A. S Mohamed Faculty of Science, Zagazig University, Zagazig, Egypt

DOI:

https://doi.org/10.24297/jam.v10i7.1780

Keywords:

Caputo derivative, Adomian polynomials, Logistic equation, Sumudu trans- form method, decomposition method.

Abstract

In This paper, we propose a numerical algorithm for solving nonlinear fractional-order Logistic differential equation (FLDE) by using Sumudu decomposition method (SDM). This method is a combination of the Sumudu transform method and decomposition method. We have apply the concepts of fractional calculus to the well known population growth modle inchaotic dynamic. The fractional derivative is described in the Caputo
sense. The numerical results shows that the approach is easy to implement and accurate when applied to various fractional differentional equations.