Sentence examples for basic concepts of fractional from inspiring English sources

Then, it is shown that by applying some basic concepts of fractional calculus, the samples of the target process can be simulated as superposition of Riesz fractional derivatives of a Gaussian white noise processes.

Recently, we introduced basic concepts of fractional q-symmetric integral and derivative operators in [31].

Let us begin this section with some basic concepts of fractional calculus [1 3].

In this section, we recall some basic concepts of fractional calculus [40 44] and Laplace transform.

In Section 2, we recall some basic concepts of fractional calculus and present some auxiliary lemmas.

Kilbas et al. [12] presented basic concepts of fractional differential equations and their applications.

Next, we recall some basic concepts of the fractional integral and derivative, and some results as regards fractional differential equations [23].

Some basic concepts of fuzzy fractional derivatives are explained in Section 3.

For the convenience of the reader, we recall some basic concepts on fractional calculus to make easy the analysis of (1.1).

In the following, some basic concepts on fractional derivatives and on the stability properties of fractional linear/nonlinear systems are briefly illustrated.

This section is devoted to the basic concepts of Hadamard-type fractional calculus and multivalued analysis.