Title Introduction to fractional differential equations / Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado

Published Cham, Switzerland : Springer, [2019]

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Description 1 online resource (xiii, 188 pages) : illustrations (some color) Series Nonlinear systems and complexity, 2195-9994 ; volume 25 Nonlinear systems and complexity ; v. 25. 2195-9994 Contents Introduction -- Special Functions -- Fractional derivative and integral -- The Laplace transform -- Fractional differential equations -- Generalized systems -- Numerical methods 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 Bibliography Includes bibliographical references and index Notes Online resource; title from PDF title page (SpringerLink, viewed November 1, 2018) Subject Fractional differential equations. Calculus of variations. Integral calculus & equations. Cybernetics & systems theory. Maths for engineers. MATHEMATICS -- Calculus. MATHEMATICS -- Mathematical Analysis. Fractional differential equations Form Electronic book Author Drăgănescu, Gheorghe, author Machado, J. A. Tenreiro, author ISBN 9783030008956 3030008959 9783030008963 3030008967 9783030131531 303013153X

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