Solved Exercises in Fractional Calculus
Springer International Publishing (Verlag)
978-3-031-88098-8 (ISBN)
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 Mathematica 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.
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.
1. A bit of history.- 2. Special functions.- 3. Mittag-Leffler Functions.- 4. Integral transforms.- 5. Fractional derivatives.- 6. Applications and add-ons.
| Erscheinungsdatum | 30.04.2025 |
|---|---|
| Reihe/Serie | Studies in Systems, Decision and Control |
| Zusatzinfo | XVIII, 414 p. 56 illus., 21 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Technik | |
| Schlagworte | Fractional Calculus • Hadamard integrals • hypergeometric function • integral transform methodology • Mellin-Barnes Integrals • Mittag-Leffler functions • Solved Exercises • Wright functions |
| ISBN-10 | 3-031-88098-6 / 3031880986 |
| ISBN-13 | 978-3-031-88098-8 / 9783031880988 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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