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.

This sequel to the author's "Early Development in Mathematical Economics" covers developments in this field after the appearance of Cournot's "Recherches" in 1838 and until the publication of Jevons' "Theory" in 1871.

A first edition that offers a new perspective on mathematical economics. The emphasis throughout the text is not on mathematical theorems and formal proofs, but on how mathematics can enhance our understanding of the economic behavior under study. An efficient and effective writing style, placing a premium on clear explanation, builds confidence as students, move through the text.

This textbook presents students with all they need for advancing in mathematical economics. Higher level undergraduates as well as postgraduate students in mathematical economics will find this book extremely useful.

A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.