Introduction to fractional differential equations /

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Bibliographic Details
Author / Creator:Milici, Constantin, author.
Imprint:Cham, Switzerland : Springer, [2019]
Description:1 online resource (xiii, 188 pages) : illustrations (some color)
Language:English
Series:Nonlinear systems and complexity, 2195-9994 ; volume 25
Nonlinear systems and complexity ; v. 25.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11746106
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Other authors / contributors:Drăgănescu, Gheorghe, author.
Machado, J. A. Tenreiro, author.
ISBN:9783030008956
3030008959
9783030008949
3030008940
9783030008963
3030008967
9783030131531
303013153X
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed November 1, 2018).
Summary: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. Introduces Fractional Calculus in an accessible manner, based on standard integer calculus Supports the use of higher-level mathematical packages, such as Mathematica or Maple Facilitates understanding the generalization (towards Fractional Calculus) of important models and systems, such as Lorenz, Chua, and many others Provides a simultaneous introduction to analytical and numerical methods in Fractional Calculus.
Other form:Print version: Milici, Constantin. Introduction to fractional differential equations. Cham, Switzerland : Springer, [2019] 3030008940 9783030008949
Standard no.:10.1007/978-3-030-00895-6
Table of Contents:
  • Introduction
  • Special Functions
  • Fractional derivative and integral
  • The Laplace transform
  • Fractional differential equations
  • Generalized systems
  • Numerical methods.