Solved Exercises In Fractional Calculus(1st Edition)
Authors:
Edmundo Capelas De Oliveira
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Book details
ISBN: 3030205258, 978-3030205256
Book publisher: Springer
Book Summary: Preface; 1. A bit of history; 2. Special functions-2.1 Functions and Pochhammer symbol. 2.2 Hypergeometric function and particular cases. 2.3 Confluent hypergeometric function and particular cases. 2.4 Generalized hypergeometric functions-2.4.1 Wright function. 2.4.2 Meijer's G-function. 2.4.3 Fox's H-function. 2.5 Exercises. 2.5.1 Exercise list. 2.5.2 Suggestions. 2.5.3. Solutions. 2.5.4 Proposed exercises. 3. Mittag-Leffler functions. 3.1 The Mittag-Leffler function. 3.2 Wright and Mainardi functions. 3.3 Exercises. 3.3.1 Exercise list. 3.3.2 Suggestions. 3.3.3. Solutions. 3.3.4 Proposed exercises.4. Integral transforms. 4.1 Methodology. 4.2 Fourier transform. 4.3 Laplace transform. 4.4. Mellin transform. 4.5 Exercises. 4.5.1 Exercise list. 4.5.2 Suggestions. 4.5.3. Solutions. 4.5.4 Proposed exercises.5. Fractional derivatives. 5.1 Grunwald-Letnikov derivative. 5.2 Integer order integral. 5.3 Riemann-Liouville and Hadamard integrals. 5.4 Riemann-Liouville, Caputo and Hadamard derivatives. 5.5 Exercises. 5.5.1 Exercise list. 5.5.2 Suggestions. 5.5.3. Solutions. 5.5.4 Proposed exercises.6. Applications and add-ons. Forty discussed applications and complements.Appendix. Mellin-Barnes integrals.References. More than one hundred referencesRemissive index. More than three hundred entries
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