1.

Record Nr.

UNINA9910999694503321

Autore

Capelas de Oliveira Edmundo

Titolo

Solved Exercises in Fractional Calculus / / by Edmundo Capelas de Oliveira, Jayme Vaz

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025

ISBN

3-031-88099-4

Edizione

[2nd ed. 2025.]

Descrizione fisica

1 online resource (XVIII, 414 p. 56 illus., 21 illus. in color.)

Collana

Studies in Systems, Decision and Control, , 2198-4190 ; ; 589

Disciplina

620

Soggetti

Engineering mathematics

Engineering - Data processing

Mathematical and Computational Engineering Applications

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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

Sommario/riassunto

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.