Fractional Calculus and Fractional Differe...

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

192,95 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 1-2 Wochen

Kategorien:

Der Artikel ist nicht in deutscher Sprache verfasst.
Die Sprache der Produktbeschreibung und Details kann in Englisch angegeben sein. Sollten Sie Verständnisprobleme haben, wenden Sie sich gerne an uns.

Beschreibung

This book provides a broad overview of the latest developments in fractional calculus and fractional differential equations (FDEs) with an aim to motivate the readers to venture into these areas. It also presents original research describing the fractional operators of variable order, fractional-order delay differential equations, chaos and related phenomena in detail. Selected results on the stability of solutions of nonlinear dynamical systems of the non-commensurate fractional order have also been included. Furthermore, artificial neural network and fractional differential equations are elaborated on; and new transform methods (for example, Sumudu methods) and how they can be employed to solve fractional partial differential equations are discussed.
The book covers the latest research on a variety of topics, including: comparison of various numerical methods for solving FDEs, the Adomian decomposition method and its applications to fractional versions of the classical Poisson processes, variable-order fractional operators, fractional variational principles, fractional delay differential equations, fractional-order dynamical systems and stability analysis, inequalities and comparison theorems in FDEs, artificial neural network approximation for fractional operators, and new transform methods for solving partial FDEs. Given its scope and level of detail, the book will be an invaluable asset for researchers working in these areas.

Über den Autor

Varsha Daftardar-Gejji is Professor at the Department of Mathematics, Savitribai Phule Pune University, India. She completed her Ph.D. at Pune University, India. She has developed original methods for solving fractional differential equations that have become widely popular. Her noteworthy contributions include analysis of fractional differential equations, and developing theories of fractional-ordered dynamical systems and related phenomena such as chaos. She is the editor of the book Fractional Calculus: Theory and Applications and co-authored the book Differential Equations (Schaum's Outline Series). She has published more than 65 papers in respected international journals in areas of fractional calculus, fractional differential equations and general relativity.

Zusammenfassung

Discusses recent developments in fractional calculus and fractional differential equations

Focuses on applications in pure mathematics, applied mathematics, statistics, and engineering

Covers topics on numerical analysis of fractional differential equations, fractional Poisson processes, fractional calculus in complex domains, variable-order fractional operators, and fractional-order delay differential equations

Inhaltsverzeichnis

Chapter 1. Numerics of Fractional Differential Equations.- Chapter 2. Adomian Decomposition Method and Fractional Poisson Processes: A Survey.- Chapter 3. On Mittag-Leffler Kernel Dependent Fractional Operators with Variable-Order.- Chapter 4. Analysis of 2-Term Fractional Order Delay Differential Equations.- Chapter 5. Stability Analysis of Two-Dimensional Incommensurate Systems of Fractional Order Differential Equations.- Chapter 6. Artificial Neural Network Approximation of Fractional-order Derivative Operators: Analysis and DSP Implementation.- Chapter 7. Theory of Fractional Differential Equations Using Inequalities and Comparison Theorems: A Survey.- Chapter 8. Exact Solutions of Fractional Partial Differential Equations by Sumudu Transform Iterative Method.

Details

Erscheinungsjahr:	2019
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Trends in Mathematics
Inhalt:	xi 180 S. 4 s/w Illustr. 32 farbige Illustr. 180 p. 36 illus. 32 illus. in color.
ISBN-13:	9789811392269
ISBN-10:	9811392269
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Redaktion:	Daftardar-Gejji, Varsha
Herausgeber:	Varsha Daftardar-Gejji
Auflage:	1st ed. 2019
Hersteller:	Springer Singapore Springer Nature Singapore Trends in Mathematics
Maße:	241 x 160 x 16 mm
Von/Mit:	Varsha Daftardar-Gejji
Erscheinungsdatum:	12.08.2019
Gewicht:	0,494 kg