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 …

In this paper we discuss a concept of dynamic memory and an application of fractional
calculus to describe the dynamic memory. The concept of memory is considered from the …

Modeling and analysis of financial systems have been interesting topics among researchers.
The more precisely we know dynamic of systems, the better we can deal with them. This …

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

The book presents qualitative results for different classes of fractional equations, including
fractional functional differential equations, fractional impulsive differential equations, and …

A generalization of the economic model of logistic growth, which takes into account the
effects of memory and crises, is suggested. Memory effect means that the economic factors …

In this paper, we propose a nonlinear fractional order model in order to explain and
understand the outbreaks of influenza A (H1N1). In the fractional model, the next state …

This paper aims to deal with the non-asymptotic and robust estimation problem for nonlinear
fractional-order systems. The motivation starts with a physical system which develops into a …

This study focuses on modeling, prediction, and analysis of confirmed, recovered, and death
cases of COVID-19 by using Fractional Calculus in comparison with other models for eight …

This paper establishes a fractional-order economic growth model to model the gross
domestic product (GDP). The fractional-order model consists of a differential equation of …