A numerical method for solving fractional delay differential equations based on the operational matrix method

Muhammed I. Syam; Mwaffag Sharadga; I. Hashim

doi:10.1016/j.chaos.2021.110977

A numerical method for solving fractional delay differential equations based on the operational matrix method

Muhammed I. Syam, Mwaffag Sharadga, I. Hashim

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

Abstract

The Modified Operational Matrix method (MOMM) has proved to be a reliable and efficient algorithm for solving fractional delay equations. However, no convergence results are known in the literature. The aim of this paper is to derive the MOMM and to show its efficiency. Numerical examples are studied to illustrate the efficiency of the proposed method.

Original language	English
Article number	110977
Journal	Chaos, Solitons and Fractals
Volume	147
DOIs	https://doi.org/10.1016/j.chaos.2021.110977
Publication status	Published - Jun 2021

Keywords

Caputo derivative
Fractional delay differential equation
Operational matrix

ASJC Scopus subject areas

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2021.110977

Cite this

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abstract = "The Modified Operational Matrix method (MOMM) has proved to be a reliable and efficient algorithm for solving fractional delay equations. However, no convergence results are known in the literature. The aim of this paper is to derive the MOMM and to show its efficiency. Numerical examples are studied to illustrate the efficiency of the proposed method.",

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AU - Hashim, I.

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N2 - The Modified Operational Matrix method (MOMM) has proved to be a reliable and efficient algorithm for solving fractional delay equations. However, no convergence results are known in the literature. The aim of this paper is to derive the MOMM and to show its efficiency. Numerical examples are studied to illustrate the efficiency of the proposed method.

AB - The Modified Operational Matrix method (MOMM) has proved to be a reliable and efficient algorithm for solving fractional delay equations. However, no convergence results are known in the literature. The aim of this paper is to derive the MOMM and to show its efficiency. Numerical examples are studied to illustrate the efficiency of the proposed method.

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KW - Fractional delay differential equation

KW - Operational matrix

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A numerical method for solving fractional delay differential equations based on the operational matrix method

Abstract

Keywords

ASJC Scopus subject areas

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