Power Functions and Their Relationship with the Unified Fractional Derivative
The different forms of power functions will be studied in connection with the unified fractional derivative, and their Fourier transform will be computed. In particular, one-sided, even, and odd powers will be studied.
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/5/852 |
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| _version_ | 1850051812854333440 |
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| author | Manuel Duarte Ortigueira |
| author_facet | Manuel Duarte Ortigueira |
| author_sort | Manuel Duarte Ortigueira |
| collection | DOAJ |
| description | The different forms of power functions will be studied in connection with the unified fractional derivative, and their Fourier transform will be computed. In particular, one-sided, even, and odd powers will be studied. |
| format | Article |
| id | doaj-art-70a95596281a4a5b8944b2ea55e2dc6f |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-70a95596281a4a5b8944b2ea55e2dc6f2025-08-20T02:53:02ZengMDPI AGMathematics2227-73902025-03-0113585210.3390/math13050852Power Functions and Their Relationship with the Unified Fractional DerivativeManuel Duarte Ortigueira0CTS-UNINOVA and LASI, NOVA School of Science and Technology, NOVA University of Lisbon, Quinta da Torre, 2829-516 Caparica, PortugalThe different forms of power functions will be studied in connection with the unified fractional derivative, and their Fourier transform will be computed. In particular, one-sided, even, and odd powers will be studied.https://www.mdpi.com/2227-7390/13/5/852unified fractional derivativetwo-sided derivativepower function |
| spellingShingle | Manuel Duarte Ortigueira Power Functions and Their Relationship with the Unified Fractional Derivative Mathematics unified fractional derivative two-sided derivative power function |
| title | Power Functions and Their Relationship with the Unified Fractional Derivative |
| title_full | Power Functions and Their Relationship with the Unified Fractional Derivative |
| title_fullStr | Power Functions and Their Relationship with the Unified Fractional Derivative |
| title_full_unstemmed | Power Functions and Their Relationship with the Unified Fractional Derivative |
| title_short | Power Functions and Their Relationship with the Unified Fractional Derivative |
| title_sort | power functions and their relationship with the unified fractional derivative |
| topic | unified fractional derivative two-sided derivative power function |
| url | https://www.mdpi.com/2227-7390/13/5/852 |
| work_keys_str_mv | AT manuelduarteortigueira powerfunctionsandtheirrelationshipwiththeunifiedfractionalderivative |