Mittag-Leffler Functions, Related Topics and Applications Theory and Applications /

• Κύριοι συγγραφείς: Gorenflo, Rudolf (Συγγραφέας), Kilbas, Anatoly A. (Συγγραφέας), Mainardi, Francesco (Συγγραφέας), Rogosin, Sergei V. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Integral equations.; Special functions.; Mathematical physics.; Mathematical models.; Probabilities.; Special Functions.; Mathematical Applications in the Physical Sciences.; Mathematical Modeling and Industrial Mathematics.; Integral Equations.; Probability Theory and Stochastic Processes.

As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community. Focusing on the theory of the Mitta...

Πίνακας περιεχομένων:

• Preface
• Introduction
• 1.History of Mittag-Leffler functions
• 2.Classical Mittag-Leffler function
• 3.Mittag-Leffler functions with two or three parameters
• 4.Generalized Mittag-Leffler functions
• 5.Mittag-Leffler functions and solution to fractional order equations
• 6.Applications to deterministic models
• 7.Applications to stochastic models
• Appendices
• A. Euler Gamma and Beta-functions
• B. Entire functions
• C. Integral transforms
• D. Mellin-Barnes integral
• E. Elements of fractional calculus
• F. Higher transcendental functions
• References.