Modern economics was born in the Marginal revolution and the Keynesian revolution. These
revolutions led to the emergence of fundamental concepts and methods in economic theory …

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 …

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 …

Mathematical economics is a theoretical and applied science in which economic objects,
processes, and phenomena are described by using mathematically formalized language. In …

For some types of fractional derivatives, the chain rule is suggested in the form D x α f (g
(x))=(D g 1 f (g)) g= g (x) D x α g (x). We prove that performing of this chain rule for fractional …

In this paper, the fractional equations of the mass-spring-damper system with Caputo and
Caputo–Fabrizio derivatives are presented. The physical units of the system are preserved …

On development of fractional calculus during the last fifty years | Scientometrics Skip to main
content SpringerLink Account Menu Find a journal Publish with us Track your research Search …

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

In this paper, a nonlinear generalized system of variable order (VO) of fractional differential
equations (FDEs) based on the RD β i (x) Riemann–Liouville's operators such that 0< β 1< β …

In this paper we present an alternative representation of the diffusion equation and the
diffusion–advection equation using the fractional calculus approach, the spatial-time …