Investigation of fractional-order pantograph delay differential equations using Sumudu decomposition method
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 tech...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241702 |
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| author | Asrar Saleh Alsulami Mariam Al-Mazmumy Maryam Ahmed Alyami Mona Alsulami |
| author_facet | Asrar Saleh Alsulami Mariam Al-Mazmumy Maryam Ahmed Alyami Mona Alsulami |
| author_sort | Asrar Saleh Alsulami |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-93d684b6baf941c5b0967a987d0b9537 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-93d684b6baf941c5b0967a987d0b95372025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912359103593010.3934/math.20241702Investigation of fractional-order pantograph delay differential equations using Sumudu decomposition methodAsrar Saleh Alsulami0Mariam Al-Mazmumy1Maryam Ahmed Alyami2Mona Alsulami3Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah 23218, Saudi ArabiaDepartment of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah 23218, Saudi ArabiaDepartment of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah 23218, Saudi ArabiaDepartment of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah 23218, Saudi ArabiaThis 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.https://www.aimspress.com/article/doi/10.3934/math.20241702sumudu transformadomian decomposition methodfractional initial-value problemsfractional pantograph equations |
| spellingShingle | Asrar Saleh Alsulami Mariam Al-Mazmumy Maryam Ahmed Alyami Mona Alsulami Investigation of fractional-order pantograph delay differential equations using Sumudu decomposition method AIMS Mathematics sumudu transform adomian decomposition method fractional initial-value problems fractional pantograph equations |
| title | Investigation of fractional-order pantograph delay differential equations using Sumudu decomposition method |
| title_full | Investigation of fractional-order pantograph delay differential equations using Sumudu decomposition method |
| title_fullStr | Investigation of fractional-order pantograph delay differential equations using Sumudu decomposition method |
| title_full_unstemmed | Investigation of fractional-order pantograph delay differential equations using Sumudu decomposition method |
| title_short | Investigation of fractional-order pantograph delay differential equations using Sumudu decomposition method |
| title_sort | investigation of fractional order pantograph delay differential equations using sumudu decomposition method |
| topic | sumudu transform adomian decomposition method fractional initial-value problems fractional pantograph equations |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241702 |
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