Research on some types of fractional differential equations which can be transformed into separable variables
In this paper, we study some types of fractional differential equations which can be transformed into separable variables, regarding the Jumarie type of modified Riemann-Liouville fractional derivatives. We use a new multiplication of fractional functions and product rule for fractional derivatives...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2021-01-01
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| Series: | E3S Web of Conferences |
| Subjects: | |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/44/e3sconf_vesep2020_01080.pdf |
| _version_ | 1818670914602008576 |
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| author | Yu Chiihuei |
| author_facet | Yu Chiihuei |
| author_sort | Yu Chiihuei |
| collection | DOAJ |
| description | In this paper, we study some types of fractional differential equations which can be transformed into separable variables, regarding the Jumarie type of modified Riemann-Liouville fractional derivatives. We use a new multiplication of fractional functions and product rule for fractional derivatives to obtain the solutions of these fractional differential equations. Furthermore, some examples are given to demonstrate our results. |
| first_indexed | 2024-12-17T07:15:41Z |
| format | Article |
| id | doaj.art-ec53a761d7ad44959c2869882a061601 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-17T07:15:41Z |
| publishDate | 2021-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-ec53a761d7ad44959c2869882a0616012022-12-21T21:58:55ZengEDP SciencesE3S Web of Conferences2267-12422021-01-012680108010.1051/e3sconf/202126801080e3sconf_vesep2020_01080Research on some types of fractional differential equations which can be transformed into separable variablesYu ChiihueiIn this paper, we study some types of fractional differential equations which can be transformed into separable variables, regarding the Jumarie type of modified Riemann-Liouville fractional derivatives. We use a new multiplication of fractional functions and product rule for fractional derivatives to obtain the solutions of these fractional differential equations. Furthermore, some examples are given to demonstrate our results.https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/44/e3sconf_vesep2020_01080.pdffractional differential equationsseparable variablesjumarie type of modified riemann-liouville fractional derivativesnew multiplicationproduct rule |
| spellingShingle | Yu Chiihuei Research on some types of fractional differential equations which can be transformed into separable variables E3S Web of Conferences fractional differential equations separable variables jumarie type of modified riemann-liouville fractional derivatives new multiplication product rule |
| title | Research on some types of fractional differential equations which can be transformed into separable variables |
| title_full | Research on some types of fractional differential equations which can be transformed into separable variables |
| title_fullStr | Research on some types of fractional differential equations which can be transformed into separable variables |
| title_full_unstemmed | Research on some types of fractional differential equations which can be transformed into separable variables |
| title_short | Research on some types of fractional differential equations which can be transformed into separable variables |
| title_sort | research on some types of fractional differential equations which can be transformed into separable variables |
| topic | fractional differential equations separable variables jumarie type of modified riemann-liouville fractional derivatives new multiplication product rule |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/44/e3sconf_vesep2020_01080.pdf |
| work_keys_str_mv | AT yuchiihuei researchonsometypesoffractionaldifferentialequationswhichcanbetransformedintoseparablevariables |