The fuzzy generalized Taylor’s expansion with application in fractional differential equations

Document Type : Original Manuscript

Authors

1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

2 Imam Khomeini Int. University

Abstract

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.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 16, Issue 2
March and April 2019
Pages 57-72

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