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Research Article | Open Access

Investigation of fractional-order pantograph delay differential equations using Sumudu decomposition method

Asrar Saleh Alsulami( ), Mariam Al-Mazmumy, Maryam Ahmed Alyami, Mona Alsulami
Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah 23218, Saudi Arabia
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Abstract

This paper combines the Sumudu transform with the Adomian decomposition method to address Caputo-type fractional-order pantograph delay differential equations. It features numerical evaluations that confirm the effectiveness of the proposed methods. The study introduces a powerful computational technique for solving these equations, providing results that establish its efficiency and relevance through comparisons with existing methods. The findings underscore both the efficiency and accuracy of the proposed algorithm.

Keywords

Sumudu transformAdomian decomposition methodfractional initial-value problemsfractional pantograph equations
CLC number: 26A33, 39A60, 65Q20

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AIMS Mathematics
Volume 9 Issue 12,
December 2024
Pages 35910-35930
DOI: 10.3934/math.20241702

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Cite this article:
Saleh Alsulami A, Al-Mazmumy M, Ahmed Alyami M, et al. Investigation of fractional-order pantograph delay differential equations using Sumudu decomposition method. AIMS Mathematics, 2024, 9(12): 35910-35930. https://doi.org/10.3934/math.20241702

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Received: 15 October 2024
Revised: 29 November 2024
Accepted: 05 December 2024
Published: 15 December 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)