Mittag Leffler Functions Related Topics And Applications

Author : Rudolf Gorenflo
Publisher : Springer
ISBN 13 : 3662439301
Total Pages : 454 pages
Book Rating : 4.02/5 ( download)

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Download or read book Mittag-Leffler Functions, Related Topics and Applications written by Rudolf Gorenflo and published by Springer. This book was released on 2014-10-16 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 3662615509
Total Pages : 548 pages
Book Rating : 4.08/5 ( download)

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Download or read book Mittag-Leffler Functions, Related Topics and Applications written by Rudolf Gorenflo and published by Springer Nature. This book was released on 2020-10-27 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 1482289814
Total Pages : 480 pages
Book Rating : 4.17/5 ( download)

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Download or read book Differential Subordinations written by Sanford S. Miller and published by CRC Press. This book was released on 2000-01-03 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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
ISBN 13 : 0387758941
Total Pages : 480 pages
Book Rating : 4.47/5 ( download)

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Download or read book Special Functions for Applied Scientists written by A.M. Mathai and published by Springer Science & Business Media. This book was released on 2008-02-13 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 3110570637
Total Pages : 752 pages
Book Rating : 4.32/5 ( download)

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Download or read book Basic Theory written by Anatoly Kochubei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 3030296148
Total Pages : 357 pages
Book Rating : 4.48/5 ( download)

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Download or read book Fractional Equations and Models written by Trifce Sandev and published by Springer Nature. This book was released on 2019-11-23 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 3110571668
Total Pages : 528 pages
Book Rating : 4.60/5 ( download)

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Download or read book Fractional Differential Equations written by Anatoly Kochubei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Stefan Samko
Publisher : CRC Press
ISBN 13 : 9782881248641
Total Pages : 1016 pages
Book Rating : 4.40/5 ( download)

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Download or read book Fractional Integrals and Derivatives written by Stefan Samko and published by CRC Press. This book was released on 1993-12-08 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: In San Francisco, a fisherman's get-rich-quick scheme ends in violence. As sharks fetch high prices, he hires a professional shark hunter to go fishing, the deal being he gets the first three tons, the hunter the rest. But as the hunter's share piles up, jealousy rears its head.

Author : Josip E. Peajcariaac
Publisher : Academic Press
ISBN 13 : 0080925227
Total Pages : 485 pages
Book Rating : 4.26/5 ( download)

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Download or read book Convex Functions, Partial Orderings, and Statistical Applications written by Josip E. Peajcariaac and published by Academic Press. This book was released on 1992-06-03 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 3039217321
Total Pages : 172 pages
Book Rating : 4.28/5 ( download)

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Download or read book Fractional Differential Equations written by Juan J. Nieto and published by MDPI. This book was released on 2019-11-19 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.