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Introduction to Fractional Differential Equations

✍ Scribed by Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado

Publisher
Springer International Publishing
Year
2019
Tongue
English
Leaves
199
Series
Nonlinear Systems and Complexity 25
Edition
1st ed.
Category
Library
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✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-xiii
Special Functions (Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado)....Pages 1-15
Fractional Derivative and Fractional Integral (Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado)....Pages 17-31
The Laplace Transform (Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado)....Pages 33-46
Fractional Differential Equations (Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado)....Pages 47-86
Generalized Systems (Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado)....Pages 87-120
Numerical Methods (Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado)....Pages 121-185
Back Matter ....Pages 187-188

✦ Subjects

Engineering; Engineering Mathematics; Calculus of Variations and Optimal Control; Optimization; Integral Transforms, Operational Calculus; Complexity

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