Introduction to Fractional Differential Equations

• Main Authors: Milici, Constantin (Author, http://id.loc.gov/vocabulary/relators/aut), Drăgănescu, Gheorghe (http://id.loc.gov/vocabulary/relators/aut), Tenreiro Machado, J. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Nonlinear Systems and Complexity, 25
• Subjects: Engineering mathematics.; Calculus of variations.; Integral transforms.; Operational calculus.; Computational complexity.; Engineering Mathematics.; Calculus of Variations and Optimal Control; Optimization.; Integral Transforms, Operational Calculus.; Complexity.

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 math...

Table of Contents:

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