Analytical investigation of two-dimensional fuzzy fractional heat problem using a modified approach
This paper investigates the analytical fuzzy findings of a two-dimensional fuzzy fractional-ordered heat problem including some source of terms under certain conditions. The Sumudu residual power series scheme (SRPSS) is an innovative novel to deal with the combine form of the Sumudu transform (ST)...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-12-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824007956 |
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| author | Jinxing Liu Muhammad Nadeem Ali Hasan Ali Fawziah M. Alotaibi Loredana Florentina Iambor |
| author_facet | Jinxing Liu Muhammad Nadeem Ali Hasan Ali Fawziah M. Alotaibi Loredana Florentina Iambor |
| author_sort | Jinxing Liu |
| collection | DOAJ |
| description | This paper investigates the analytical fuzzy findings of a two-dimensional fuzzy fractional-ordered heat problem including some source of terms under certain conditions. The Sumudu residual power series scheme (SRPSS) is an innovative novel to deal with the combine form of the Sumudu transform (ST) and the residual power series scheme (RPSS) which efficiently generate analytical results in rapidly converging series forms. The Caputo derivative is applied to model the physical problem. The most notable aspect of this algorithm is its ability to generate results quickly and without difficulty as compared to the conventional RPSS. We present three numerical cases of 2D heat problem with fuzzy fractional order to express the performance and validity of suggested scheme. Graphical analysis from the derived solutions reveals that SRPSS is straightforward, accurate, and suitable to analyze the findings of fuzzy fractional problems. |
| format | Article |
| id | doaj-art-10ad33e18d8f43e895c4b54e9b268f2b |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-10ad33e18d8f43e895c4b54e9b268f2b2024-11-22T07:36:11ZengElsevierAlexandria Engineering Journal1110-01682024-12-01108158168Analytical investigation of two-dimensional fuzzy fractional heat problem using a modified approachJinxing Liu0Muhammad Nadeem1Ali Hasan Ali2Fawziah M. Alotaibi3Loredana Florentina Iambor4Faculty of Science, Yibin University, Yibin 644000, ChinaSchool of Mathematics and Statistics, Qujing Normal University, Qujing 655011, ChinaDepartment of Mathematics, College of Education for Pure Sciences, University of Basrah, 61001 Basrah, Iraq; Institute of Mathematics, University of Debrecen, Pf. 400, H-4002 Debrecen, Hungary; Department of Business Management, Al-imam University College, 34011 Balad, Iraq; Jadara University Research Center, Jadara University, 21110 Irbid, Jordan; Corresponding author.Department of Mathematics, Turabah University College, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, RomaniaThis paper investigates the analytical fuzzy findings of a two-dimensional fuzzy fractional-ordered heat problem including some source of terms under certain conditions. The Sumudu residual power series scheme (SRPSS) is an innovative novel to deal with the combine form of the Sumudu transform (ST) and the residual power series scheme (RPSS) which efficiently generate analytical results in rapidly converging series forms. The Caputo derivative is applied to model the physical problem. The most notable aspect of this algorithm is its ability to generate results quickly and without difficulty as compared to the conventional RPSS. We present three numerical cases of 2D heat problem with fuzzy fractional order to express the performance and validity of suggested scheme. Graphical analysis from the derived solutions reveals that SRPSS is straightforward, accurate, and suitable to analyze the findings of fuzzy fractional problems.http://www.sciencedirect.com/science/article/pii/S1110016824007956Sumudu transformResidual power series schemeFuzzy fractional heat equationFuzzy solution |
| spellingShingle | Jinxing Liu Muhammad Nadeem Ali Hasan Ali Fawziah M. Alotaibi Loredana Florentina Iambor Analytical investigation of two-dimensional fuzzy fractional heat problem using a modified approach Alexandria Engineering Journal Sumudu transform Residual power series scheme Fuzzy fractional heat equation Fuzzy solution |
| title | Analytical investigation of two-dimensional fuzzy fractional heat problem using a modified approach |
| title_full | Analytical investigation of two-dimensional fuzzy fractional heat problem using a modified approach |
| title_fullStr | Analytical investigation of two-dimensional fuzzy fractional heat problem using a modified approach |
| title_full_unstemmed | Analytical investigation of two-dimensional fuzzy fractional heat problem using a modified approach |
| title_short | Analytical investigation of two-dimensional fuzzy fractional heat problem using a modified approach |
| title_sort | analytical investigation of two dimensional fuzzy fractional heat problem using a modified approach |
| topic | Sumudu transform Residual power series scheme Fuzzy fractional heat equation Fuzzy solution |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824007956 |
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