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Research Article Open access CC BY 4.0

Picard and Adomian Solutions of a Nonlocal Cauchy Problem of a Delay Dierential Equation

E. A. A. Ziada

Asian Research Journal of Mathematics · pp. 30–43 · Published 7 Oct 2021

10.9734/arjom/2021/v17i830321

Abstract

In this paper, two methods are used to solve a nonlocal Cauchy problem of a delay differential equation; Adomian decomposition method (ADM) and Picard method. The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis are studied.

Nonlocal cauchy problem existence uniqueness error analysis Adomian method Picard method

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