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

Asrar Saleh Alsulami; Mariam Al-Mazmumy; Maryam Ahmed Alyami; Mona Alsulami; Asrar Saleh Alsulami; Mariam Al-Mazmumy; Maryam Ahmed Alyami; Mona Alsulami

doi:10.3934/math.20241702

AIMS Mathematics

2024, Volume 9, Issue 12: 35910-35930. doi: 10.3934/math.20241702

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

Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah 23218, Saudi Arabia

Received: 15 October 2024 Revised: 29 November 2024 Accepted: 05 December 2024 Published: 25 December 2024
MSC : 26A33, 39A60, 65Q20

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.
- Sumudu transform,
- Adomian decomposition method,
- fractional initial-value problems,
- fractional pantograph equations
Citation: Asrar Saleh Alsulami, Mariam Al-Mazmumy, Maryam Ahmed Alyami, Mona Alsulami. Investigation of fractional-order pantograph delay differential equations using Sumudu decomposition method[J]. AIMS Mathematics, 2024, 9(12): 35910-35930. doi: 10.3934/math.20241702

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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.

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