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TitleIntroduction to Fractional Differential Equations [electronic resource] / by Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado
ImprintCham : Springer International Publishing : Imprint: Springer, 2019
Edition 1st ed. 2019
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Descript XIII, 188 p. 32 illus., 29 illus. in color. online resource


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


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

Engineering mathematics Mathematical optimization Integral Transforms Engineering Engineering Mathematics. Calculus of Variations and Optimal Control; Optimization. Integral Transforms Operational Calculus. Complexity.


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