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

United Arab Emirates University
Universiti Kebangsaan Malaysia
Abu Dhabi Polytechnic

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

39 Scopus citations

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
State	Published - Jun 2021
Externally published	Yes

Keywords

Caputo derivative
Fractional delay differential equation
Operational matrix

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10.1016/j.chaos.2021.110977

Cite this

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title = "A numerical method for solving fractional delay differential equations based on the operational matrix method",

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.",

keywords = "Caputo derivative, Fractional delay differential equation, Operational matrix",

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year = "2021",

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AU - Syam, Muhammed I.

AU - Sharadga, Mwaffag

AU - Hashim, I.

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Y1 - 2021/6

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.

KW - Caputo derivative

KW - Fractional delay differential equation

KW - Operational matrix

UR - https://www.scopus.com/pages/publications/85105691219

U2 - 10.1016/j.chaos.2021.110977

DO - 10.1016/j.chaos.2021.110977

M3 - Article

AN - SCOPUS:85105691219

SN - 0960-0779

VL - 147

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 110977

ER -

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

Abstract

Keywords

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