The fuzzy generalized Taylor’s expansion with application in fractional differential equations
In this paper, the generalized Taylor’s expansion is presented for fuzzy-valued functions. To achieve this aim, fuzzy fractional mean value theorem for integral, and some properties of Caputo generalized Hukuhara derivative are necessary that we prove them in details. In application, the fractional...
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| Veröffentlicht in: | Iranian journal of fuzzy systems (Online) 2019-04, Vol.16 (2), p.57 |
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| container_title | Iranian journal of fuzzy systems (Online) |
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| creator | Armand, Atefeh Allahviranloo, Tofigh Abbasbandy, Saeid Gouyandeh, Zeinab |
| description | In this paper, the generalized Taylor’s expansion is presented for fuzzy-valued functions. To achieve this aim, fuzzy fractional mean value theorem for integral, and some properties of Caputo generalized Hukuhara derivative are necessary that we prove them in details. In application, the fractional Euler’s method is derived for solving fuzzy fractional differential equations in the sense of Caputo differentiability. The effectiveness of the proposed method is verified by three examples. |
| doi_str_mv | 10.22111/ijfs.2019.4542 |
| format | Article |
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| language | eng |
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| subjects | Applied mathematics Control theory Fuzzy sets |
| title | The fuzzy generalized Taylor’s expansion with application in fractional differential equations |
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