Mittag-Leffler Functions, Related Topics and Applications / Springer Monographs in Mathematics (PDF)
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¿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 Mittag-Leffler functions, the present volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to the applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular the Mittag-Leffler functions allow us to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and its successors.
The book is intended for a broad audience, comprising graduate students, universityinstructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, theory of control, and several other related areas.
A.A. Kilbas (1948-2010). Graduated at the Belarusian State University in Minsk in 1971, where he received his PhD and Doctor of Sciences degrees before becoming a Professor. A.A. Kilbas was a world-known scientist whose contributions to the theory of integral equations, fractional integro-differentiation, fractional differential equations, integral transforms and special functions are highly regarded by the mathematical community. He was the author of more than 300 research articles and 6 monographs.
F. Mainardi. In 1966 he graduated with a degree in Theoretical Physics from the University of Bologna, where he took an advanced degree and continues to serve as a Professor of Mathematical Physics. He is the author of two books, has served as the editor of several compilations and has produced more than 150 research articles in Applied Mathematics, Continuum Mechanics, Wave Motion, Fractional Calculus and Stochastic Processes.
S.V. Rogosin. Graduated from the Belarusian State University in Minsk in 1974, where he later received his PhD. His research interests concern boundary value problems, complex analysis, integral equations and fractional calculus and their applications in continuous media mechanics. He is the author of two books, more than 100 research papers, has been the co-organizer of several
- Autoren: Rudolf Gorenflo , Anatoly A. Kilbas , Francesco Mainardi , Sergei V. Rogosin
- 2014, 2014, 443 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3662439301
- ISBN-13: 9783662439302
- Erscheinungsdatum: 16.10.2014
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- Größe: 4.38 MB
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