Alpha-Delta Integration and Its Application in Discrete Kinetic Equation Using Mittag–Leffler Factorial Function
The summation and exact form of the solutions related to the special type of difference equations are established in this paper by using the inverse of the delta and alpha-delta operators. As an application, the solutions of the population growth model, particularly, fractional order kinetic equatio...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/8030185 |
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| _version_ | 1832543819807064064 |
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| author | Jaraldpushparaj Simon Sina Etemad Britto Antony Xavier Gnanaprakasam İbrahim Avcı |
| author_facet | Jaraldpushparaj Simon Sina Etemad Britto Antony Xavier Gnanaprakasam İbrahim Avcı |
| author_sort | Jaraldpushparaj Simon |
| collection | DOAJ |
| description | The summation and exact form of the solutions related to the special type of difference equations are established in this paper by using the inverse of the delta and alpha-delta operators. As an application, the solutions of the population growth model, particularly, fractional order kinetic equation, are obtained by this method. Also, by using the summation form and Mittag–Leffler factorial functions, the alpha-delta integrations have been applied for solving the fractional order difference equations involving the factorial polynomials. Numerical examples are provided to validate the theoretical results. |
| format | Article |
| id | doaj-art-f5eadb505aa1496f9894aec32f5082ad |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-f5eadb505aa1496f9894aec32f5082ad2025-02-03T11:26:48ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/8030185Alpha-Delta Integration and Its Application in Discrete Kinetic Equation Using Mittag–Leffler Factorial FunctionJaraldpushparaj Simon0Sina Etemad1Britto Antony Xavier Gnanaprakasam2İbrahim Avcı3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Computer EngineeringThe summation and exact form of the solutions related to the special type of difference equations are established in this paper by using the inverse of the delta and alpha-delta operators. As an application, the solutions of the population growth model, particularly, fractional order kinetic equation, are obtained by this method. Also, by using the summation form and Mittag–Leffler factorial functions, the alpha-delta integrations have been applied for solving the fractional order difference equations involving the factorial polynomials. Numerical examples are provided to validate the theoretical results.http://dx.doi.org/10.1155/2024/8030185 |
| spellingShingle | Jaraldpushparaj Simon Sina Etemad Britto Antony Xavier Gnanaprakasam İbrahim Avcı Alpha-Delta Integration and Its Application in Discrete Kinetic Equation Using Mittag–Leffler Factorial Function Journal of Mathematics |
| title | Alpha-Delta Integration and Its Application in Discrete Kinetic Equation Using Mittag–Leffler Factorial Function |
| title_full | Alpha-Delta Integration and Its Application in Discrete Kinetic Equation Using Mittag–Leffler Factorial Function |
| title_fullStr | Alpha-Delta Integration and Its Application in Discrete Kinetic Equation Using Mittag–Leffler Factorial Function |
| title_full_unstemmed | Alpha-Delta Integration and Its Application in Discrete Kinetic Equation Using Mittag–Leffler Factorial Function |
| title_short | Alpha-Delta Integration and Its Application in Discrete Kinetic Equation Using Mittag–Leffler Factorial Function |
| title_sort | alpha delta integration and its application in discrete kinetic equation using mittag leffler factorial function |
| url | http://dx.doi.org/10.1155/2024/8030185 |
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