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" Introduction to fractional differential equations / "
Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado.
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BL
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| Record Number
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859320
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| Main Entry
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Milici, Constantin
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| Title & Author
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Introduction to fractional differential equations /\ Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado.
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| Publication Statement
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Cham, Switzerland :: Springer,, [2019]
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| Series Statement
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Nonlinear systems and complexity,; volume 25
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| Page. NO
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1 online resource (xiii, 188 pages) :: illustrations (some color)
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| ISBN
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3030008959
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: 3030008967
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: 303013153X
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: 9783030008956
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: 9783030008963
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: 9783030131531
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3030008940
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9783030008949
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Introduction -- Special Functions -- Fractional derivative and integral -- The Laplace transform -- Fractional differential equations -- Generalized systems -- Numerical methods.
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| Abstract
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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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Fractional differential equations.
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Calculus of variations.
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Cybernetics systems theory.
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Fractional differential equations.
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Integral calculus equations.
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MATHEMATICS-- Calculus.
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MATHEMATICS-- Mathematical Analysis.
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Maths for engineers.
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| Dewey Classification
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515/.35
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| LC Classification
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QA314
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| Added Entry
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Drăgănescu, Gheorghe
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Machado, J. A. Tenreiro
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