A new concept of q-calculus with respect to another function
In this paper, we present an approach to quantum calculus and its applications through a functional method. This approach enables the exploration of the number-theoretic properties of q-calculus in a functional framework, facilitating the modification of variable-order q-differential equations and...
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| Format: | Article |
| Language: | English |
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Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila
2024-12-01
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| Series: | Journal of Innovative Applied Mathematics and Computational Sciences |
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| Online Access: | https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/1874 |
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| author | Shrinath Manjarekar Hossein Jafari |
| author_facet | Shrinath Manjarekar Hossein Jafari |
| author_sort | Shrinath Manjarekar |
| collection | DOAJ |
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In this paper, we present an approach to quantum calculus and its applications through a functional method. This approach enables the exploration of the number-theoretic properties of q-calculus in a functional framework, facilitating the modification of variable-order q-differential equations and their solutions. The paper primarily focuses on the functional aspects of quantum number theory, functional-order q-derivatives, and their applications.
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| format | Article |
| id | doaj-art-e985e068b42146d599d130716bfb7c4a |
| institution | OA Journals |
| issn | 2773-4196 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila |
| record_format | Article |
| series | Journal of Innovative Applied Mathematics and Computational Sciences |
| spelling | doaj-art-e985e068b42146d599d130716bfb7c4a2025-08-20T02:00:01ZengInstitute of Sciences and Technology, University Center Abdelhafid Boussouf, MilaJournal of Innovative Applied Mathematics and Computational Sciences2773-41962024-12-014210.58205/jiamcs.v4i2.1874A new concept of q-calculus with respect to another functionShrinath Manjarekar0https://orcid.org/0000-0003-0631-3043Hossein Jafari1https://orcid.org/0000-0001-6807-6675Department of Mathematics, L. V. H. ASC College, Nashik, Maharashtra - 422003, IndiaDepartment of Mathematical Sciences, University of South Africa, UNISA 0003, South Africa In this paper, we present an approach to quantum calculus and its applications through a functional method. This approach enables the exploration of the number-theoretic properties of q-calculus in a functional framework, facilitating the modification of variable-order q-differential equations and their solutions. The paper primarily focuses on the functional aspects of quantum number theory, functional-order q-derivatives, and their applications. https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/1874q - Identities, q-calculus, Hypergeometric functions |
| spellingShingle | Shrinath Manjarekar Hossein Jafari A new concept of q-calculus with respect to another function Journal of Innovative Applied Mathematics and Computational Sciences q - Identities, q-calculus, Hypergeometric functions |
| title | A new concept of q-calculus with respect to another function |
| title_full | A new concept of q-calculus with respect to another function |
| title_fullStr | A new concept of q-calculus with respect to another function |
| title_full_unstemmed | A new concept of q-calculus with respect to another function |
| title_short | A new concept of q-calculus with respect to another function |
| title_sort | new concept of q calculus with respect to another function |
| topic | q - Identities, q-calculus, Hypergeometric functions |
| url | https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/1874 |
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