Open AccessNumerical solution for multi-term fractional delay differential equations
Author(s) -
E. A. A. Ziada
Publication year - 2021
Publication title -
journal of fractional calculus and nonlinear systems
Language(s) - English
Resource type - Journals
ISSN - 2709-9547
DOI - 10.48185/jfcns.v2i2.358
Subject(s) - adomian decomposition method , mathematics , term (time) , convergence (economics) , nonlinear system , stability (learning theory) , delay differential equation , series (stratigraphy) , mathematical analysis , differential equation , decomposition method (queueing theory) , computer science , physics , discrete mathematics , paleontology , quantum mechanics , machine learning , economic growth , economics , biology
In this paper, a multi-term nonlinear delay differential equation (DDE) of arbitrary order is studied.Adomian decomposition method (ADM) is used to solve these types of equations. Then the existence andstability of a unique solution will be proved. Convergence analysis of ADM is discussed. Moreover, themaximum absolute truncated error of Adomian’s series solution is estimated. The stability of the solutionis also discussed.