Double ARA-Sumudu decomposition method for the solution of linear fractional partial integro-differential equations
This paper focuses on deriving the exact solution to the linear fractional partial integro-differential equation through the application of the double ARA-Sumudu transform. By leveraging the double ARA-Sumudu transform, a decomposition method is constructed using the definition of the Caputo fractio...
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| Format: | Article |
| Language: | English |
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Qom University of Technology
2025-06-01
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| Series: | Mathematics and Computational Sciences |
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| Online Access: | https://mcs.qut.ac.ir/article_724817_72039a3fc8f03cf319caf161f2fee095.pdf |
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| _version_ | 1839635971844341760 |
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| author | Jagdish Nanaware Akshaykumar Dongardive |
| author_facet | Jagdish Nanaware Akshaykumar Dongardive |
| author_sort | Jagdish Nanaware |
| collection | DOAJ |
| description | This paper focuses on deriving the exact solution to the linear fractional partial integro-differential equation through the application of the double ARA-Sumudu transform. By leveraging the double ARA-Sumudu transform, a decomposition method is constructed using the definition of the Caputo fractional derivative. Surface graphs of solutions are provided for visualization purposes. |
| format | Article |
| id | doaj-art-7f13a3a9a0f44a41a9083f9047a6fa07 |
| institution | Matheson Library |
| issn | 2717-2708 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Qom University of Technology |
| record_format | Article |
| series | Mathematics and Computational Sciences |
| spelling | doaj-art-7f13a3a9a0f44a41a9083f9047a6fa072025-07-08T11:57:56ZengQom University of TechnologyMathematics and Computational Sciences2717-27082025-06-016210211110.30511/mcs.2025.2053924.1314724817Double ARA-Sumudu decomposition method for the solution of linear fractional partial integro-differential equationsJagdish Nanaware0Akshaykumar Dongardive1Department of PG Studies and Research in Mathematics,Shrikrishna Mahavidyalaya,Gunjoti, Dist.Dharashiv, Maharashtra, 413606, India.Department of Mathematics, Shankarrao Patil Mahavidyalaya, Bhoom, Dharashiv, 413504, Maharashtra, India.This paper focuses on deriving the exact solution to the linear fractional partial integro-differential equation through the application of the double ARA-Sumudu transform. By leveraging the double ARA-Sumudu transform, a decomposition method is constructed using the definition of the Caputo fractional derivative. Surface graphs of solutions are provided for visualization purposes.https://mcs.qut.ac.ir/article_724817_72039a3fc8f03cf319caf161f2fee095.pdffractional partial integro-differential equationdouble ara-sumudu transformdecomposition method |
| spellingShingle | Jagdish Nanaware Akshaykumar Dongardive Double ARA-Sumudu decomposition method for the solution of linear fractional partial integro-differential equations Mathematics and Computational Sciences fractional partial integro-differential equation double ara-sumudu transform decomposition method |
| title | Double ARA-Sumudu decomposition method for the solution of linear fractional partial integro-differential equations |
| title_full | Double ARA-Sumudu decomposition method for the solution of linear fractional partial integro-differential equations |
| title_fullStr | Double ARA-Sumudu decomposition method for the solution of linear fractional partial integro-differential equations |
| title_full_unstemmed | Double ARA-Sumudu decomposition method for the solution of linear fractional partial integro-differential equations |
| title_short | Double ARA-Sumudu decomposition method for the solution of linear fractional partial integro-differential equations |
| title_sort | double ara sumudu decomposition method for the solution of linear fractional partial integro differential equations |
| topic | fractional partial integro-differential equation double ara-sumudu transform decomposition method |
| url | https://mcs.qut.ac.ir/article_724817_72039a3fc8f03cf319caf161f2fee095.pdf |
| work_keys_str_mv | AT jagdishnanaware doublearasumududecompositionmethodforthesolutionoflinearfractionalpartialintegrodifferentialequations AT akshaykumardongardive doublearasumududecompositionmethodforthesolutionoflinearfractionalpartialintegrodifferentialequations |