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Introduction to Fractional Differential Equations [electronic resource] / by Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado.

By: Milici, Constantin [author.].
Contributor(s): Drăgănescu, Gheorghe [author.] | Tenreiro Machado, J [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Nonlinear Systems and Complexity: 25Publisher: Cham : Springer International Publishing : Imprint: Springer, 2019Edition: 1st ed. 2019.Description: XIII, 188 p. 32 illus., 29 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030008956.Subject(s): Engineering mathematics | Mathematical optimization | Calculus of variations | Mathematical analysis | Dynamics | Nonlinear theories | Engineering Mathematics | Calculus of Variations and Optimization | Integral Transforms and Operational Calculus | Applied Dynamical SystemsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 620.00151 Online resources: Click here to access online
Contents:
Introduction -- Special Functions -- Fractional derivative and integral -- The Laplace transform -- Fractional differential equations -- Generalized systems -- Numerical methods.
In: Springer Nature eBookSummary: 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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Introduction -- Special Functions -- Fractional derivative and integral -- The Laplace transform -- Fractional differential equations -- Generalized systems -- Numerical methods.

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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