时间尺度上模糊函数的分数微分与积分

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics Pub Date : 2023-12-18 DOI:10.5540/03.2023.010.01.0056

Mina Shahidi, E. Esmi, L. C. Barros

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引用次数: 0

摘要

.本文提出了时间尺度上模糊函数的分数导数和分数积分的新定义。引入的导数是 Hukuhara 导数的自然扩展。此外，我们还研究了引入的导数和积分的一些性质。还提供了一些例子来说明所获得的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fractional Differentiation and Integration for Fuzzy Functions on Time Scales

. 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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Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

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