Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations
In this paper, we made improvement on the conformable fractional derivative. Compared to the original one, the improved conformable fractional derivative can be a better replacement of the classical Riemann-Liouville and Caputo fractional derivative in terms of physical meaning. We also gave the def...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5852414 |
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| _version_ | 1832559954768166912 |
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| author | Feng Gao Chunmei Chi |
| author_facet | Feng Gao Chunmei Chi |
| author_sort | Feng Gao |
| collection | DOAJ |
| description | In this paper, we made improvement on the conformable fractional derivative. Compared to the original one, the improved conformable fractional derivative can be a better replacement of the classical Riemann-Liouville and Caputo fractional derivative in terms of physical meaning. We also gave the definition of the corresponding fractional integral and illustrated the applications of the improved conformable derivative to fractional differential equations by some examples. |
| format | Article |
| id | doaj-art-2531946ee6dc4691905972e6e6678270 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-2531946ee6dc4691905972e6e66782702025-02-03T01:28:43ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/58524145852414Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential EquationsFeng Gao0Chunmei Chi1School of Science, Qingdao University of Technology, Qingdao, 266033, ChinaSchool of Information and Control Engineering, Qingdao University of Technology, Qingdao, 266033, ChinaIn this paper, we made improvement on the conformable fractional derivative. Compared to the original one, the improved conformable fractional derivative can be a better replacement of the classical Riemann-Liouville and Caputo fractional derivative in terms of physical meaning. We also gave the definition of the corresponding fractional integral and illustrated the applications of the improved conformable derivative to fractional differential equations by some examples.http://dx.doi.org/10.1155/2020/5852414 |
| spellingShingle | Feng Gao Chunmei Chi Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations Journal of Function Spaces |
| title | Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations |
| title_full | Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations |
| title_fullStr | Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations |
| title_full_unstemmed | Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations |
| title_short | Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations |
| title_sort | improvement on conformable fractional derivative and its applications in fractional differential equations |
| url | http://dx.doi.org/10.1155/2020/5852414 |
| work_keys_str_mv | AT fenggao improvementonconformablefractionalderivativeanditsapplicationsinfractionaldifferentialequations AT chunmeichi improvementonconformablefractionalderivativeanditsapplicationsinfractionaldifferentialequations |