Introduction to Fractional Differential Equations

1. Auflage 2019
ISBN: 978-3-030-00894-9
Verlag: Springer International Publishing

Buch, Englisch, Band 25, 188 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 514 g

Reihe: Nonlinear Systems and 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 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.

Zielgruppe

Research

Autoren/Hrsg.

Milici, Constantin

Tenreiro Machado, J.

Draganescu, Gheorghe

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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

Über Autor(innen)

Dr. Constantin Milici is a retired lecturer with the Department of Mathematics, Polytechnic University of Timi?oara, Timisoara, Romania. Dr. Gheorghe Draganescu is a Prof Dr. with the Research Center in Theoretical Physics, West University of Timi?oara, Timi?oara, Romania. Dr. José António Tenreiro Machado is Principal Coordinator Professor with the Institute of Engineering of Porto, Porto, Portugal.