Application of Fractional Calculus

Application of Fractional Calculus
By 作者: Vasily E Tarasov
Pages 页数: 278 pages
Edition 版本: 1
Language 语言: English
Publisher Finelybook 出版社: Mdpi AG
Publication Date 出版日期: 2020-06-03
ISBN-10 书号:303936118X
ISBN-13 书号:9783039361182
The Book Description
This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.