Fractional dynamics is a field of study in physics and mechanics investigating the behavior
of objects and systems that are characterized by power-law nonlocality, power-law long-term …

In this article, a new general form of fractional power series is introduced in the sense of the
Caputo fractional derivative. Using this approach some results of the classical power series …

Classic Newtonian mechanics assumes that space and time are continuous everywhere.
The basic physical quantities (eg speed, acceleration and force) can be described by an …

This book aims to propose the implementation and application of Fractional Order Systems
(FOS). It is well known that FOS can be utilized in control applications and systems …

Книга содержит изложение метода дробных производных и состоит из трех частей,
раскрывающих физические основания метода, математический аппарат и примеры …

Nonlocal generalization of classical statistical mechanics is proposed by using the general
fractional calculus in the Luchko form. Some basic concepts of nonlocal statistical …

This present study focuses on a dynamical model of happiness described through fractional-
order differential equations. By categorizing people of different personality and different …

Discrete systems with long-range interactions are considered. Continuous medium models
as continuous limit of discrete chain system are defined. Long-range interactions of chain …

In this manuscript, we consider an initial-boundary-value problem governed by a (1+ 1)-
dimensional hyperbolic partial differential equation with constant damping that generalizes …

Nonlocal generalization of the standard (classical) probability theory of a continuous
distribution on a positive semi-axis is proposed. An approach to the formulation of a nonlocal …