Approximate analytical solutions and applications of pantograph-type equations with Caputo derivative and variable orders
This study presents an efficient method that is suitable for differential equations, both with integer-order and fractional derivatives. This study examines the construction of solutions of fractional differential equations that are associated with varying delay proportional to the independent varia...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2023-12-01
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| Series: | Applied Mathematics in Science and Engineering |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/27690911.2023.2232091 |
| _version_ | 1797641011584827392 |
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| author | M.O. Aibinu E. Momoniat |
| author_facet | M.O. Aibinu E. Momoniat |
| author_sort | M.O. Aibinu |
| collection | DOAJ |
| description | This study presents an efficient method that is suitable for differential equations, both with integer-order and fractional derivatives. This study examines the construction of solutions of fractional differential equations that are associated with varying delay proportional to the independent variable using a hybrid of Sumudu transform method. This study considers differential equations with Caputo derivatives of fractional variable orders and their applications in Nuclear Physics. The application indicates that fractional differential equations that have varying delay proportional to the independent variable are useful as tools for the modelling of many anomalous phenomena in nature and in the theory of complex systems. |
| first_indexed | 2024-03-11T13:39:27Z |
| format | Article |
| id | doaj.art-7f0d04e6e90b406fb651c60e595d13d2 |
| institution | Directory Open Access Journal |
| issn | 2769-0911 |
| language | English |
| last_indexed | 2024-03-11T13:39:27Z |
| publishDate | 2023-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj.art-7f0d04e6e90b406fb651c60e595d13d22023-11-02T13:48:32ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112023-12-0131110.1080/27690911.2023.22320912232091Approximate analytical solutions and applications of pantograph-type equations with Caputo derivative and variable ordersM.O. Aibinu0E. Momoniat1University of JohannesburgUniversity of JohannesburgThis study presents an efficient method that is suitable for differential equations, both with integer-order and fractional derivatives. This study examines the construction of solutions of fractional differential equations that are associated with varying delay proportional to the independent variable using a hybrid of Sumudu transform method. This study considers differential equations with Caputo derivatives of fractional variable orders and their applications in Nuclear Physics. The application indicates that fractional differential equations that have varying delay proportional to the independent variable are useful as tools for the modelling of many anomalous phenomena in nature and in the theory of complex systems.http://dx.doi.org/10.1080/27690911.2023.2232091sumudu transformhybridpantographcaputo derivativesmodel |
| spellingShingle | M.O. Aibinu E. Momoniat Approximate analytical solutions and applications of pantograph-type equations with Caputo derivative and variable orders Applied Mathematics in Science and Engineering sumudu transform hybrid pantograph caputo derivatives model |
| title | Approximate analytical solutions and applications of pantograph-type equations with Caputo derivative and variable orders |
| title_full | Approximate analytical solutions and applications of pantograph-type equations with Caputo derivative and variable orders |
| title_fullStr | Approximate analytical solutions and applications of pantograph-type equations with Caputo derivative and variable orders |
| title_full_unstemmed | Approximate analytical solutions and applications of pantograph-type equations with Caputo derivative and variable orders |
| title_short | Approximate analytical solutions and applications of pantograph-type equations with Caputo derivative and variable orders |
| title_sort | approximate analytical solutions and applications of pantograph type equations with caputo derivative and variable orders |
| topic | sumudu transform hybrid pantograph caputo derivatives model |
| url | http://dx.doi.org/10.1080/27690911.2023.2232091 |
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