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

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  • Syam, Muhammed I.
  • Sharadga, Mwaffag
  • Hashim, I.

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.

Suggested Citation

  • Syam, Muhammed I. & Sharadga, Mwaffag & Hashim, I., 2021. "A numerical method for solving fractional delay differential equations based on the operational matrix method," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003313
    DOI: 10.1016/j.chaos.2021.110977
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    References listed on IDEAS

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    1. Baleanu, Dumitru & Wu, Guo–Cheng & Zeng, Sheng–Da, 2017. "Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 99-105.
    2. Zhou, Yong & Peng, Li & Ahmad, Bashir & Alsaedi, Ahmed, 2017. "Energy methods for fractional Navier–Stokes equations," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 78-85.
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    Cited by:

    1. Sondos M. Syam & Z. Siri & Sami H. Altoum & R. Md. Kasmani, 2023. "An Efficient Numerical Approach for Solving Systems of Fractional Problems and Their Applications in Science," Mathematics, MDPI, vol. 11(14), pages 1-21, July.
    2. Jaradat, Imad & Alquran, Marwan & Sulaiman, Tukur A. & Yusuf, Abdullahi, 2022. "Analytic simulation of the synergy of spatial-temporal memory indices with proportional time delay," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

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