Introduction to fractional differential equations

• 作者： Milici, Constantin, author.
• 其他作者：
  • Draganescu, Gheorghe, author.
  • Tenreiro Machado, J., author.
  • SpringerLink (Online service)
• 其他題名：
  • Nonlinear systems and complexity ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Nonlinear systems and complexity,volume 25
• 主題： Fractional differential equations. , Engineering Mathematics. , Calculus of Variations and Optimal Control; Optimization. , Integral Transforms, Operational Calculus. , Complexity.
• ISBN： 9783030008956 (electronic bk.) 、 9783030008949 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Introduction -- Special Functions -- Fractional derivative and integral -- The Laplace transform -- Fractional differential equations -- Generalized systems -- Numerical methods.
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• 摘要註: 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.
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