Numerical solution for multi-term fractional delay differential equations | Zendy

E. A. A. Ziada | Zendy

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Numerical 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.

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