Fractional Differentiation and Integration for Fuzzy Functions on Time Scales
DOI:
https://doi.org/10.5540/03.2023.010.01.0056Palavras-chave:
Time Scales, Fuzzy Functions, Fuzzy Fractional Derivative, Fuzzy Fractional IntegralResumo
In this paper, we propose a new definition of the fractional derivative and fractional integral for fuzzy functions on time scales. The introduced derivative is a natural extension of the Hukuhara derivative. Furthermore, some properties of the introduced derivative and integral are studied. Some examples are provided to illustrate the obtained results.
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