Solved Exercises in Fractional Calculus

2. Auflage 2025
ISBN: 978-3-031-88098-8
Verlag: Springer

Buch, Englisch, Band 589, 414 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 809 g

Reihe: Studies in Systems, Decision and Control

This textbook provides a comprehensive exploration of special functions and fractional calculus, offering a structured approach through solved and proposed exercises. Covering key mathematical concepts such as Mittag-Leffler functions, Kilbas-Saigo functions, and the Erdélyi-Kober fractional integral, it balances theoretical insights with practical applications. Appendices introduce Barnes G-functions and demonstrate the use of  for fractional calculus, expanding the book’s accessibility. With an updated index and extensive references, this edition serves as a valuable resource for researchers, graduate students, and professionals in applied mathematics and related fields.

Zielgruppe

Graduate

Autoren/Hrsg.

Capelas de Oliveira, Edmundo

Vaz, Jayme

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

1. A bit of history.- 2. Special functions.- 3. Mittag-Leffler Functions.- 4. Integral transforms.- 5. Fractional derivatives.- 6. Applications and add-ons.

Über Autor(innen)

Edmundo Capelas de Oliveira is a Full (retired) Professor in the Department of Applied Mathematics at IMECC, Unicamp, Brazil. His research focuses on fractional calculus and its applications.

Jayme Vaz is a Full Professor in the Department of Applied Mathematics at IMECC, Unicamp, Brazil. His research interests include Mathematical Physics, particularly Clifford algebras, and fractional calculus.