Given the increasing number of proposals and definitions of operators in the scope of
fractional calculus, it is important to introduce a systematic classification. Nonetheless, many …

A Review of Definitions for Fractional Derivatives and Integral Page 1 See discussions, stats,
and author profiles for this publication at: https://www.researchgate.net/publication/275071882 …

This chapter is devoted to time-and space-nonlocal generalizations of the standard Fourier
law, the corresponding generalizations of the classical heat conduction equation and …

Artificial neural network (ANN) is the backbone of machine learning, specifically deep
learning. The interpolating and learning ability of an ANN makes it an ideal tool for …

2.1 Integral transforms.......................... 5 2.1. 1 Laplace transform...................... 5 2.1. 2
Exponential Fourier transform............... 8 2.1. 3 Sin-Fourier transform.................... 10 2.1. 4 …

The cable equation plays a central role in many areas of electrophysiology and in modeling
neuronal dynamics. This paper reports an accurate spectral collocation method for solving …

The main subject of the monograph is the fractional calculus in the discrete version. The
volume is divided into three main parts. Part one contains a theoretical introduction to the …

This paper reviews the recent research in the application of fractional calculus in the models
of linear viscoelasticity utilized in dynamic problems of mechanics of solids. The brief …

This work presents an analysis of fractional derivatives and fractal derivatives, discussing
their differences and similarities. The fractal derivative is closely connected to Haussdorff's …

The present manuscript aims at raising awareness of the endless possibilities of fractional
calculus applied not only to system identification and control engineering, but also into …