A New Conformable Fractional Derivative and Applications
This paper is motivated by some papers treating the fractional derivatives. We introduce a new definition of fractional derivative which obeys classical properties including linearity, product rule, quotient rule, power rule, chain rule, Rolle’s theorem, and the mean value theorem. The definition Dα...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2021/6245435 |
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| _version_ | 1832564836841553920 |
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| author | Ahmed Kajouni Ahmed Chafiki Khalid Hilal Mohamed Oukessou |
| author_facet | Ahmed Kajouni Ahmed Chafiki Khalid Hilal Mohamed Oukessou |
| author_sort | Ahmed Kajouni |
| collection | DOAJ |
| description | This paper is motivated by some papers treating the fractional derivatives. We introduce a new definition of fractional derivative which obeys classical properties including linearity, product rule, quotient rule, power rule, chain rule, Rolle’s theorem, and the mean value theorem. The definition Dαft=limh⟶0ft+heα−1t−ft/h, for all t>0, and α∈0,1. If α=0, this definition coincides to the classical definition of the first order of the function f. |
| format | Article |
| id | doaj-art-9afbad42ebfb4885bf5a22c226047475 |
| institution | Kabale University |
| issn | 1687-9651 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-9afbad42ebfb4885bf5a22c2260474752025-02-03T01:10:08ZengWileyInternational Journal of Differential Equations1687-96512021-01-01202110.1155/2021/6245435A New Conformable Fractional Derivative and ApplicationsAhmed Kajouni0Ahmed Chafiki1Khalid Hilal2Mohamed Oukessou3Laboratory of Applied Mathematics and Scientific CompetingLaboratory of Applied Mathematics and Scientific CompetingLaboratory of Applied Mathematics and Scientific CompetingLaboratory of Applied Mathematics and Scientific CompetingThis paper is motivated by some papers treating the fractional derivatives. We introduce a new definition of fractional derivative which obeys classical properties including linearity, product rule, quotient rule, power rule, chain rule, Rolle’s theorem, and the mean value theorem. The definition Dαft=limh⟶0ft+heα−1t−ft/h, for all t>0, and α∈0,1. If α=0, this definition coincides to the classical definition of the first order of the function f.http://dx.doi.org/10.1155/2021/6245435 |
| spellingShingle | Ahmed Kajouni Ahmed Chafiki Khalid Hilal Mohamed Oukessou A New Conformable Fractional Derivative and Applications International Journal of Differential Equations |
| title | A New Conformable Fractional Derivative and Applications |
| title_full | A New Conformable Fractional Derivative and Applications |
| title_fullStr | A New Conformable Fractional Derivative and Applications |
| title_full_unstemmed | A New Conformable Fractional Derivative and Applications |
| title_short | A New Conformable Fractional Derivative and Applications |
| title_sort | new conformable fractional derivative and applications |
| url | http://dx.doi.org/10.1155/2021/6245435 |
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