In this work, a bibliographic analysis on artificial neural networks (ANNs) using fractional
calculus (FC) theory has been developed to summarize the main features and applications …

Since the 60s of last century Fractional Calculus exhibited a remarkable progress and
presently it is recognized to be an important topic in the scientific arena. This survey …

General Fractional Derivatives: Theory, Methods and Applications provides knowledge of
the special functions with respect to another function, and the integro-differential operators …

By using the fractional Caputo–Fabrizio derivative, we investigate a new version for the
mathematical model of HIV. In this way, we review the existence and uniqueness of the …

In the computer security and for any defensive strategy, computer viruses are very significant
aspect. To understand their expansion and extension is very important component. In order …

In the paper, we present a new definition of fractional derivative with a smooth kernel which
takes on two different representations for the temporal and spatial variable. The first works …

Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

This accessible monograph is devoted to a rapidly developing area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

In this work, a system of three masses on the vertices of equilateral triangle is investigated.
This system is known in the literature as a planar system. We first give a description to the …

The Schrödinger equation depends on the physical circumstance, which describes the state
function of a quantum‐mechanical system and gives a characterization of a system evolving …