Fractional view analysis of delay differential equations via numerical method
In this article, we solved pantograph delay differential equations by utilizing an efficient numerical technique known as Chebyshev pseudospectral method. In Caputo manner fractional derivatives are taken. These types of problems are reduced to linear or nonlinear algebraic equations using the sugge...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-09-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20221123?viewType=HTML |
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| author | M. Mossa Al-Sawalha Azzh Saad Alshehry Kamsing Nonlaopon Rasool Shah Osama Y. Ababneh |
| author_facet | M. Mossa Al-Sawalha Azzh Saad Alshehry Kamsing Nonlaopon Rasool Shah Osama Y. Ababneh |
| author_sort | M. Mossa Al-Sawalha |
| collection | DOAJ |
| description | In this article, we solved pantograph delay differential equations by utilizing an efficient numerical technique known as Chebyshev pseudospectral method. In Caputo manner fractional derivatives are taken. These types of problems are reduced to linear or nonlinear algebraic equations using the suggested approach. The proposed method's convergence is being studied with particular care. The suggested technique is effective, simple, and easy to implement as compared to other numerical approaches. To prove the validity and accuracy of the presented approach, we take two examples. The solutions we obtained show greater accuracy as compared to other methods. Furthermore, the current approach can be implemented for solving other linear and nonlinear fractional delay differential equations, owing to its innovation and scientific significance. |
| first_indexed | 2024-04-13T23:34:13Z |
| format | Article |
| id | doaj.art-5523288b256d4967bc9c91def0ab8ff7 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-13T23:34:13Z |
| publishDate | 2022-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-5523288b256d4967bc9c91def0ab8ff72022-12-22T02:24:48ZengAIMS PressAIMS Mathematics2473-69882022-09-01712205102052310.3934/math.20221123Fractional view analysis of delay differential equations via numerical methodM. Mossa Al-Sawalha0Azzh Saad Alshehry1Kamsing Nonlaopon 2Rasool Shah3Osama Y. Ababneh41. Department of Mathematics, College of Science, University of Ha'il, Ha'il 2440, Saudi Arabia2. Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia3. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand4. Department of Mathematics, Abdul Wali Khan University Mardan 23200, Pakistan5. Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, JordanIn this article, we solved pantograph delay differential equations by utilizing an efficient numerical technique known as Chebyshev pseudospectral method. In Caputo manner fractional derivatives are taken. These types of problems are reduced to linear or nonlinear algebraic equations using the suggested approach. The proposed method's convergence is being studied with particular care. The suggested technique is effective, simple, and easy to implement as compared to other numerical approaches. To prove the validity and accuracy of the presented approach, we take two examples. The solutions we obtained show greater accuracy as compared to other methods. Furthermore, the current approach can be implemented for solving other linear and nonlinear fractional delay differential equations, owing to its innovation and scientific significance.https://www.aimspress.com/article/doi/10.3934/math.20221123?viewType=HTMLchebyshev pseudospectral methodcaputo operatorfractional pantograph delay differential equations |
| spellingShingle | M. Mossa Al-Sawalha Azzh Saad Alshehry Kamsing Nonlaopon Rasool Shah Osama Y. Ababneh Fractional view analysis of delay differential equations via numerical method AIMS Mathematics chebyshev pseudospectral method caputo operator fractional pantograph delay differential equations |
| title | Fractional view analysis of delay differential equations via numerical method |
| title_full | Fractional view analysis of delay differential equations via numerical method |
| title_fullStr | Fractional view analysis of delay differential equations via numerical method |
| title_full_unstemmed | Fractional view analysis of delay differential equations via numerical method |
| title_short | Fractional view analysis of delay differential equations via numerical method |
| title_sort | fractional view analysis of delay differential equations via numerical method |
| topic | chebyshev pseudospectral method caputo operator fractional pantograph delay differential equations |
| url | https://www.aimspress.com/article/doi/10.3934/math.20221123?viewType=HTML |
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