Symbolic computation of analytic approximate solutions for nonlinear fractional differential equations

Abstract The Adomian decomposition method (ADM) is one of the most effective methods to construct analytic approximate solutions for nonlinear differential equations. In this paper, based on the new definition of the Adomian polynomials, Rach (2008) [22], the Adomian decomposition method and the Padé approximants technique, a new algorithm is proposed to construct analytic approximate solutions for nonlinear fractional differential equations with initial or boundary conditions. Furthermore, a MAPLE so... Title of program: ADMP Catalogue Id: AENE_v1_0 Nature of problem Constructing analytic approximate solutions of nonlinear fractional differential equations with initial or boundary conditions. Non-smooth initial value problems can be solved by this program. Versions of this program held in the CPC repository in Mendeley Data AENE_v1_0; ADMP; 10.1016/j.cpc.2012.07.015 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)