On fractional Caputo operator for the generalized glucose supply model via incomplete Aleph function
In this paper, we have attempted a fresh method to demonstrate how special functions and fractional calculus are used in real-world problems. Here, we have examined the glucose supply in human blood using the incomplete Aleph function (IAF) and the Caputo fractional operator. In this study, we used...
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2024-12-01
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| Series: | International Journal of Mathematics for Industry |
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| Online Access: | https://www.worldscientific.com/doi/10.1142/S2661335224500035 |
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| author | Himani Agarwal Manvendra Narayan Mishra Ravi Shanker Dubey |
| author_facet | Himani Agarwal Manvendra Narayan Mishra Ravi Shanker Dubey |
| author_sort | Himani Agarwal |
| collection | DOAJ |
| description | In this paper, we have attempted a fresh method to demonstrate how special functions and fractional calculus are used in real-world problems. Here, we have examined the glucose supply in human blood using the incomplete Aleph function (IAF) and the Caputo fractional operator. In this study, we used the incomplete Aleph function to find the blood glucose equation that is supplied to human blood. In terms of various hyper-geometric functions, we have also obtained several significant and unique results, and we have defined the blood glucose function in terms of IAF. |
| format | Article |
| id | doaj-art-0e53b47a7f9245a8bbd5684e83a237f7 |
| institution | DOAJ |
| issn | 2661-3352 2661-3344 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | International Journal of Mathematics for Industry |
| spelling | doaj-art-0e53b47a7f9245a8bbd5684e83a237f72025-08-20T02:48:12ZengWorld Scientific PublishingInternational Journal of Mathematics for Industry2661-33522661-33442024-12-0116Supp0110.1142/S2661335224500035On fractional Caputo operator for the generalized glucose supply model via incomplete Aleph functionHimani Agarwal0Manvendra Narayan Mishra1Ravi Shanker Dubey2Department of Mathematics, Suresh Gyan Vihar University, Jaipur, Rajasthan, IndiaDepartment of Mathematics, Suresh Gyan Vihar University, Jaipur, Rajasthan, IndiaDepartment of Mathematics, Amity School of Applied Science, Amity University Rajasthan, IndiaIn this paper, we have attempted a fresh method to demonstrate how special functions and fractional calculus are used in real-world problems. Here, we have examined the glucose supply in human blood using the incomplete Aleph function (IAF) and the Caputo fractional operator. In this study, we used the incomplete Aleph function to find the blood glucose equation that is supplied to human blood. In terms of various hyper-geometric functions, we have also obtained several significant and unique results, and we have defined the blood glucose function in terms of IAF.https://www.worldscientific.com/doi/10.1142/S2661335224500035Aleph functionspecial functionfractional calculusblood glucoseMellin–Barnes-type integrals |
| spellingShingle | Himani Agarwal Manvendra Narayan Mishra Ravi Shanker Dubey On fractional Caputo operator for the generalized glucose supply model via incomplete Aleph function International Journal of Mathematics for Industry Aleph function special function fractional calculus blood glucose Mellin–Barnes-type integrals |
| title | On fractional Caputo operator for the generalized glucose supply model via incomplete Aleph function |
| title_full | On fractional Caputo operator for the generalized glucose supply model via incomplete Aleph function |
| title_fullStr | On fractional Caputo operator for the generalized glucose supply model via incomplete Aleph function |
| title_full_unstemmed | On fractional Caputo operator for the generalized glucose supply model via incomplete Aleph function |
| title_short | On fractional Caputo operator for the generalized glucose supply model via incomplete Aleph function |
| title_sort | on fractional caputo operator for the generalized glucose supply model via incomplete aleph function |
| topic | Aleph function special function fractional calculus blood glucose Mellin–Barnes-type integrals |
| url | https://www.worldscientific.com/doi/10.1142/S2661335224500035 |
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