Discrete ADM: A tools for solving a class of classic and fractional difference problems

Authors

  • Hossein Jafari
  • Alaa Mohsin Abed
  • M S Mechee Department of Mathematics, University of Kufa, Kufa, Najaf, Iraq

DOI:

https://doi.org/10.30495/jme.v17i0.2699

Keywords:

Discrete calculus, Classic difference operator, Fractional difference operator, Discrete Adomian Decomposition Method

Abstract

Discrete fractional calculus (DFC) is continuously spreading in the neural networks,
chaotic maps, engineering practice, and image encryption, which is appropriately assumed for discrete-time modelling in continuum problems. For solving problems including difference operators (classic and fractional), we employ a discrete version of  the Adomian decomposition method (ADM). This method help to find the solutions of linear and nonlinear classic and fractional difference problems (CDPs and FDPs).
Examples are given to clarify and confirm the obtained results and some of particular cases of CDPs and FDPs are highlighted.

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Published

2023-05-27

Issue

Vol. 17

Section

Vol. 17, No. 5, (2023)

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