Mathematical Economics: Application of Fractional Calculus

Mathematical Economics: Application of Fractional Calculus
ISBN-10
303936118X
ISBN-13
9783039361182
Series
Mathematical Economics
Category
Business & Economics
Pages
278
Language
English
Published
2020-06-03
Publisher
MDPI
Author
Vasily E. Tarasov

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.

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