Mittag Leffler Functions Related Topics And Applications PDF Download
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Author | : Rudolf Gorenflo |
Publisher | : Springer |
Total Pages | : 454 |
Release | : 2014-10-16 |
Genre | : Mathematics |
ISBN | : 3662439301 |
Download Mittag-Leffler Functions, Related Topics and Applications Book in PDF, ePub and Kindle
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, university instructors 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.
Author | : Rudolf Gorenflo |
Publisher | : Springer Nature |
Total Pages | : 548 |
Release | : 2020-10-27 |
Genre | : Science |
ISBN | : 3662615509 |
Download Mittag-Leffler Functions, Related Topics and Applications Book in PDF, ePub and Kindle
The 2nd edition of this book is essentially an extended version of the 1st and provides a very sound overview of the most important special functions of Fractional Calculus. It has been updated with material from many recent papers and includes several surveys of important results known before the publication of the 1st edition, but not covered there. 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 caught the interest of the scientific community. Focusing on the theory of Mittag-Leffler functions, this 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 applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular, the Mittag-Leffler functions make it possible to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and related special functions. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, control theory and several other related areas.
Author | : Sanford S. Miller |
Publisher | : CRC Press |
Total Pages | : 480 |
Release | : 2000-01-03 |
Genre | : Mathematics |
ISBN | : 1482289814 |
Download Differential Subordinations Book in PDF, ePub and Kindle
"Examining a topic that has been the subject of more than 300 articles since it was first conceived nearly 20 years ago, this monograph describes for the first time in one volume the basic theory and multitude of applications in the study of differential subordinations."
Author | : A.M. Mathai |
Publisher | : Springer Science & Business Media |
Total Pages | : 480 |
Release | : 2008-02-13 |
Genre | : Science |
ISBN | : 0387758941 |
Download Special Functions for Applied Scientists Book in PDF, ePub and Kindle
This book, written by a highly distinguished author, provides the required mathematical tools for researchers active in the physical sciences. The book presents a full suit of elementary functions for scholars at PhD level. The opening chapter introduces elementary classical special functions. The final chapter is devoted to the discussion of functions of matrix argument in the real case. The text and exercises have been class-tested over five different years.
Author | : Anatoly Kochubei |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 752 |
Release | : 2019-02-19 |
Genre | : Mathematics |
ISBN | : 3110570637 |
Download Basic Theory Book in PDF, ePub and Kindle
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.
Author | : Trifce Sandev |
Publisher | : Springer Nature |
Total Pages | : 357 |
Release | : 2019-11-23 |
Genre | : Science |
ISBN | : 3030296148 |
Download Fractional Equations and Models Book in PDF, ePub and Kindle
Fractional equations and models play an essential part in the description of anomalous dynamics in complex systems. Recent developments in the modeling of various physical, chemical and biological systems have clearly shown that fractional calculus is not just an exotic mathematical theory, as it might have once seemed. The present book seeks to demonstrate this using various examples of equations and models with fractional and generalized operators. Intended for students and researchers in mathematics, physics, chemistry, biology and engineering, it systematically offers a wealth of useful tools for fractional calculus.
Author | : Anatoly Kochubei |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 528 |
Release | : 2019-02-19 |
Genre | : Mathematics |
ISBN | : 3110571668 |
Download Fractional Differential Equations Book in PDF, ePub and Kindle
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.
Author | : Josip E. Peajcariaac |
Publisher | : Academic Press |
Total Pages | : 485 |
Release | : 1992-06-03 |
Genre | : Mathematics |
ISBN | : 0080925227 |
Download Convex Functions, Partial Orderings, and Statistical Applications Book in PDF, ePub and Kindle
This research-level book presents up-to-date information concerning recent developments in convex functions and partial orderings and some applications in mathematics, statistics, and reliability theory. The book will serve researchers in mathematical and statistical theory and theoretical and applied reliabilists. Presents classical and newly published results on convex functions and related inequalities Explains partial ordering based on arrangement and their applications in mathematics, probability, statsitics, and reliability Demonstrates the connection of partial ordering with other well-known orderings such as majorization and Schur functions Will generate further research and applications
Author | : Juan J. Nieto |
Publisher | : MDPI |
Total Pages | : 172 |
Release | : 2019-11-19 |
Genre | : Mathematics |
ISBN | : 3039217321 |
Download Fractional Differential Equations Book in PDF, ePub and Kindle
Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media, and propogation in relation to materials with different properties. However, many aspects from theoretical and practical points of view have still to be developed in relation to models based on fractional operators. This Special Issue is related to new developments on different aspects of fractional differential equations, both from a theoretical point of view and in terms of applications in different fields such as physics, chemistry, or control theory, for instance. The topics of the Issue include fractional calculus, the mathematical analysis of the properties of the solutions to fractional equations, the extension of classical approaches, or applications of fractional equations to several fields.
Author | : Stefan Samko |
Publisher | : CRC Press |
Total Pages | : 1016 |
Release | : 1993-12-08 |
Genre | : Mathematics |
ISBN | : 9782881248641 |
Download Fractional Integrals and Derivatives Book in PDF, ePub and Kindle
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