分数階微分方程式序説 Introduction to Fractional Differential Equations

著者名：Milici, Constantin/Drăgănescu, Gheorghe/Tenreiro Machado, J.

Springer（2018/10/28発売）

• 言語：ENG
• ISBN：9783030008949
• eISBN：9783030008956

Description

This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus – a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and computer fields, and the transition from integer- to fractional-order methods.

Table of Contents

Introduction.- Special Functions.- Fractional derivative and integral.- The Laplace transform.- Fractional differential equations.- Generalized systems.- Numerical methods.