Some Notes of the Fractional Integral and Derivatives and Its Applications
In this paper, the definitions of the fractional derivative and integrals are given by the neutrix limit. Not only is it consistent with the classical results but also the representations of the fractional derivative and integrals are obtained for x−a−k, x−a−klnpx−a, x−a−kfx, and x−a−klnpx−afx, wher...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/8343530 |
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| _version_ | 1832549800315191296 |
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| author | Fen Qin Fuyi Xu Huizeng Qin |
| author_facet | Fen Qin Fuyi Xu Huizeng Qin |
| author_sort | Fen Qin |
| collection | DOAJ |
| description | In this paper, the definitions of the fractional derivative and integrals are given by the neutrix limit. Not only is it consistent with the classical results but also the representations of the fractional derivative and integrals are obtained for x−a−k, x−a−klnpx−a, x−a−kfx, and x−a−klnpx−afx, where k,p=1,2,…,fx is the analytic function. |
| format | Article |
| id | doaj-art-6cb2a0a3e69345b397a5ccb90c2f23c2 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6cb2a0a3e69345b397a5ccb90c2f23c22025-02-03T06:08:39ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/8343530Some Notes of the Fractional Integral and Derivatives and Its ApplicationsFen Qin0Fuyi Xu1Huizeng Qin2School of Mathematics and StatisticsSchool of Mathematics and StatisticsSchool of Mathematics and StatisticsIn this paper, the definitions of the fractional derivative and integrals are given by the neutrix limit. Not only is it consistent with the classical results but also the representations of the fractional derivative and integrals are obtained for x−a−k, x−a−klnpx−a, x−a−kfx, and x−a−klnpx−afx, where k,p=1,2,…,fx is the analytic function.http://dx.doi.org/10.1155/2022/8343530 |
| spellingShingle | Fen Qin Fuyi Xu Huizeng Qin Some Notes of the Fractional Integral and Derivatives and Its Applications Journal of Mathematics |
| title | Some Notes of the Fractional Integral and Derivatives and Its Applications |
| title_full | Some Notes of the Fractional Integral and Derivatives and Its Applications |
| title_fullStr | Some Notes of the Fractional Integral and Derivatives and Its Applications |
| title_full_unstemmed | Some Notes of the Fractional Integral and Derivatives and Its Applications |
| title_short | Some Notes of the Fractional Integral and Derivatives and Its Applications |
| title_sort | some notes of the fractional integral and derivatives and its applications |
| url | http://dx.doi.org/10.1155/2022/8343530 |
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