Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative
In this paper, we study the Ulam-Hyers-Mittag-Leffler stability for a linear fractional order differential equation with a fractional Caputo-type derivative using the fractional Fourier transform. Finally, we provide an enumeration of the chemical reactions of the differential equation.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/3777566 |
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| _version_ | 1849434631278952448 |
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| author | Arunachalam Selvam Sriramulu Sabarinathan Samad Noeiaghdam Vediyappan Govindan |
| author_facet | Arunachalam Selvam Sriramulu Sabarinathan Samad Noeiaghdam Vediyappan Govindan |
| author_sort | Arunachalam Selvam |
| collection | DOAJ |
| description | In this paper, we study the Ulam-Hyers-Mittag-Leffler stability for a linear fractional order differential equation with a fractional Caputo-type derivative using the fractional Fourier transform. Finally, we provide an enumeration of the chemical reactions of the differential equation. |
| format | Article |
| id | doaj-art-e3c5457b5acc48d086ed89551b19b002 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e3c5457b5acc48d086ed89551b19b0022025-08-20T03:26:34ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/3777566Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type DerivativeArunachalam Selvam0Sriramulu Sabarinathan1Samad Noeiaghdam2Vediyappan Govindan3Department of MathematicsDepartment of MathematicsIndustrial Mathematics LaboratoryDepartment of MathematicsIn this paper, we study the Ulam-Hyers-Mittag-Leffler stability for a linear fractional order differential equation with a fractional Caputo-type derivative using the fractional Fourier transform. Finally, we provide an enumeration of the chemical reactions of the differential equation.http://dx.doi.org/10.1155/2022/3777566 |
| spellingShingle | Arunachalam Selvam Sriramulu Sabarinathan Samad Noeiaghdam Vediyappan Govindan Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative Journal of Function Spaces |
| title | Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative |
| title_full | Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative |
| title_fullStr | Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative |
| title_full_unstemmed | Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative |
| title_short | Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative |
| title_sort | fractional fourier transform and ulam stability of fractional differential equation with fractional caputo type derivative |
| url | http://dx.doi.org/10.1155/2022/3777566 |
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