Sentence examples for fractional cases from inspiring English sources

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.

The adopted approach consists of extending to the fractional case the procedure followed within the classical solution for the integer case.

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

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.

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.

The present article begins with an extension of the results in [7, 8] from the nonfractional to the fractional case.

So, in this way, the described fractional sub-equation method above is the extension of the (G′/G) method to fractional case.

We sum the paper up presenting the corresponding fractional case where we discuss the Green's function associated with the fractional harmonic oscillator.