Approximate Solutions for the Differential Equations by Using the Nonconformable Fractional Sumudu Transform
This research introduces the nonconformable fractional Sumudu transform (NCFST) methodology. We used the above strategy to solve fractional differential equations (FDEs) via nonconformable fractional derivatives (NCFDs). We examined and demonstrated its fundamental qualities and benefits. We examine...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/ijmm/7789796 |
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| _version_ | 1849309525346091008 |
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| author | Shams A. Ahmed Mohammed G. S. Al-Safi Tarig M. Elzaki |
| author_facet | Shams A. Ahmed Mohammed G. S. Al-Safi Tarig M. Elzaki |
| author_sort | Shams A. Ahmed |
| collection | DOAJ |
| description | This research introduces the nonconformable fractional Sumudu transform (NCFST) methodology. We used the above strategy to solve fractional differential equations (FDEs) via nonconformable fractional derivatives (NCFDs). We examined and demonstrated its fundamental qualities and benefits. We examined several cases and performed a comparison analysis, delivering precise data via graphs and tables. The findings indicated that the novel approach was practical, user-friendly, and capable of accurately solving FDEs, including those with NCFDs. |
| format | Article |
| id | doaj-art-99d23a62f56f4bc0835f97d66f280d50 |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-99d23a62f56f4bc0835f97d66f280d502025-08-20T03:54:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252025-01-01202510.1155/ijmm/7789796Approximate Solutions for the Differential Equations by Using the Nonconformable Fractional Sumudu TransformShams A. Ahmed0Mohammed G. S. Al-Safi1Tarig M. Elzaki2Department of MathematicsDepartment of Cyber Security Technical EngineeringDepartment of MathematicsThis research introduces the nonconformable fractional Sumudu transform (NCFST) methodology. We used the above strategy to solve fractional differential equations (FDEs) via nonconformable fractional derivatives (NCFDs). We examined and demonstrated its fundamental qualities and benefits. We examined several cases and performed a comparison analysis, delivering precise data via graphs and tables. The findings indicated that the novel approach was practical, user-friendly, and capable of accurately solving FDEs, including those with NCFDs.http://dx.doi.org/10.1155/ijmm/7789796 |
| spellingShingle | Shams A. Ahmed Mohammed G. S. Al-Safi Tarig M. Elzaki Approximate Solutions for the Differential Equations by Using the Nonconformable Fractional Sumudu Transform International Journal of Mathematics and Mathematical Sciences |
| title | Approximate Solutions for the Differential Equations by Using the Nonconformable Fractional Sumudu Transform |
| title_full | Approximate Solutions for the Differential Equations by Using the Nonconformable Fractional Sumudu Transform |
| title_fullStr | Approximate Solutions for the Differential Equations by Using the Nonconformable Fractional Sumudu Transform |
| title_full_unstemmed | Approximate Solutions for the Differential Equations by Using the Nonconformable Fractional Sumudu Transform |
| title_short | Approximate Solutions for the Differential Equations by Using the Nonconformable Fractional Sumudu Transform |
| title_sort | approximate solutions for the differential equations by using the nonconformable fractional sumudu transform |
| url | http://dx.doi.org/10.1155/ijmm/7789796 |
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