Sentence examples for fractional case from inspiring English sources

However, the differentiability of fuzzy-valued functions in the fractional case was not discussed.

This setting enables us to get identities resembling better the ordinary fractional case.

Hence, we will extend the definitions of generalized H-differentiability [14] to the fractional case.

It extends the integer order case to the fractional case in the sense of Caputo.

In this study, we consider a fractional case of the HIV infection model of CD4+ T cells examined in [13].

Here, we prove a more general version of the Grüss type inequality for the nabla fractional case.

In the fractional type case we have the following spectral edge behaviour.

In this article, we summarize some of the results mentioned in the above references and add more in the right-type and higher order fractional cases.

To this end, we consider two types of differentiability (similar to the non-fractional case).

More details as regards the fractional Burgers equations (time- and/or space-fractional cases) shall be further studied in the near future.

As a result, we need some extensions of mathematical models (e.g., in this contribution, we investigate fractional differential equation) to fuzzy field such that these extensions have natural relationship between crisp and fuzzy cases and even have a natural relation between fuzzy fractional and fuzzy non-fractional cases.