Introduction to Fractional Differential Equations

Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado (Autoren)

Buch | Hardcover

XIII, 188 Seiten

2018
Springer International Publishing (Verlag)
978-3-030-00894-9 (ISBN)

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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.

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

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

"The book is written nicely and useful as an introductory book on fractional differential equations. Important references are also provided at the end of each chapters. The main focus of the book is numerical methods. The book provides maple and mathematica codes, which can be very helpful to the readers interested in numerical simulations of such systems." (Syed Abbas, zbMath 1417.34004, 2019)

Erscheinungsdatum	13.11.2018
Reihe/Serie	Nonlinear Systems and Complexity
Zusatzinfo	XIII, 188 p. 32 illus., 29 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	462 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Technik
Schlagworte	Complexity • Fractional Calculus • fractional derivatives • fractional differential equations • fractional-order methods • Maple • Mathematica • Mathematical Modeling
ISBN-10	3-030-00894-0 / 3030008940
ISBN-13	978-3-030-00894-9 / 9783030008949
Zustand	Neuware