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Fractional dispersive models and applicationsrecent developments and future perspectives /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fractional dispersive models and applicationsedited by Panayotis G. Kevrekidis, Jesus Cuevas-Maraver.
Reminder of title:	recent developments and future perspectives /
other author:	Kevrekidis, Panayotis G.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xv, 328 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Fractional differential equations.
Online resource:	https://doi.org/10.1007/978-3-031-54978-6
ISBN:	9783031549786$q(electronic bk.)

Fractional dispersive models and applicationsrecent developments and future perspectives /
Fractional dispersive models and applicationsrecent developments and future perspectives /[electronic resource] :edited by Panayotis G. Kevrekidis, Jesus Cuevas-Maraver. - Cham :Springer Nature Switzerland :2024. - xv, 328 p. :ill. (some col.), digital ;24 cm. - Nonlinear systems and complexity,v. 372196-0003 ;. - Nonlinear systems and complexity ;7..

Chapter 1. Fractional Dispersive Models and Applications (Panayotis G. Kevrekidis) -- Chapter 2. Fractional Wave Models and Their Experimental Applications (Boris A. Malomed) -- Chapter 3. Fractional Models in Biology and Medicine (Fractional Models in Biology and Medicine) -- Chapter 4. Fractional Dissipative PDEs (Franz Achleitner) -- Chapter 5. Symmetry breaking in fractional nonlinear Schrödinger and soliton dynamics in complex Ginzburg-Landau models (Pengfei Li) -- Chapter 6. Traveling waves in fractional models (Traveling waves in fractional models) -- Chapter 7. Numerical methods for fractional PDEs (Christian Klein) -- Chapter 8. Fractional Non-Linear Quantum Analysis, Probability, Discretization, and Limits (Kay L. Kirkpatrick) -- Chapter 9. Fractional Integrable Dispersive Equations (Mark J. Ablowitz) -- Chapter 10. Fractional discrete linear and nonlinear models (Mario I. Molina) -- Chapter 11. Breathers in the fractionalFrenkel-Kontorova model (J. Catarecha)

This book explores the role of fractional calculus and associated partial differential equations in modeling multiscale phenomena and overlapping macroscopic & microscopic scales, offering an innovative and powerful tool for modeling complex systems. While integer order PDEs have a long-standing history, the novel setting of fractional PDEs opens up new possibilities for the simulation of multi-physics phenomena. The book examines a range of relevant examples that showcase the seamless transition from wave propagation to diffusion or from local to non-local dynamics in both continuum and discrete systems. These systems have been argued as being particularly relevant in contexts such as nonlinear optics, lattice nonlinear dynamical systems, and dispersive nonlinear wave phenomena, where the exploration of the potential fractionality has emerged as a highly active topic for current studies. The volume consists of contributions from a diverse group of active scholars and experts across different fields, providing a detailed examination of the field's past, present, and future state-of-the-art in the interplay of fractional PDEs and nonlinear wave phenomena. It is intended to be of wide interest to both seasoned researchers and beginners in the Field of Nonlinear Science. This book sets the stage for the next decade of research and beyond and is a timely and relevant reference of choice for this crucial junction of current research.

ISBN: 9783031549786$q(electronic bk.)

Standard No.: 10.1007/978-3-031-54978-6doiSubjects--Topical Terms:

709091
Fractional differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.36

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245 0 0 $a Fractional dispersive models and applications $h [electronic resource] : $b recent developments and future perspectives / $c edited by Panayotis G. Kevrekidis, Jesus Cuevas-Maraver.
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505 0 $a Chapter 1. Fractional Dispersive Models and Applications (Panayotis G. Kevrekidis) -- Chapter 2. Fractional Wave Models and Their Experimental Applications (Boris A. Malomed) -- Chapter 3. Fractional Models in Biology and Medicine (Fractional Models in Biology and Medicine) -- Chapter 4. Fractional Dissipative PDEs (Franz Achleitner) -- Chapter 5. Symmetry breaking in fractional nonlinear Schrödinger and soliton dynamics in complex Ginzburg-Landau models (Pengfei Li) -- Chapter 6. Traveling waves in fractional models (Traveling waves in fractional models) -- Chapter 7. Numerical methods for fractional PDEs (Christian Klein) -- Chapter 8. Fractional Non-Linear Quantum Analysis, Probability, Discretization, and Limits (Kay L. Kirkpatrick) -- Chapter 9. Fractional Integrable Dispersive Equations (Mark J. Ablowitz) -- Chapter 10. Fractional discrete linear and nonlinear models (Mario I. Molina) -- Chapter 11. Breathers in the fractionalFrenkel-Kontorova model (J. Catarecha)
520 $a This book explores the role of fractional calculus and associated partial differential equations in modeling multiscale phenomena and overlapping macroscopic & microscopic scales, offering an innovative and powerful tool for modeling complex systems. While integer order PDEs have a long-standing history, the novel setting of fractional PDEs opens up new possibilities for the simulation of multi-physics phenomena. The book examines a range of relevant examples that showcase the seamless transition from wave propagation to diffusion or from local to non-local dynamics in both continuum and discrete systems. These systems have been argued as being particularly relevant in contexts such as nonlinear optics, lattice nonlinear dynamical systems, and dispersive nonlinear wave phenomena, where the exploration of the potential fractionality has emerged as a highly active topic for current studies. The volume consists of contributions from a diverse group of active scholars and experts across different fields, providing a detailed examination of the field's past, present, and future state-of-the-art in the interplay of fractional PDEs and nonlinear wave phenomena. It is intended to be of wide interest to both seasoned researchers and beginners in the Field of Nonlinear Science. This book sets the stage for the next decade of research and beyond and is a timely and relevant reference of choice for this crucial junction of current research.
650 0 $a Fractional differential equations. $3 709091
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650 2 4 $a Differential Equations. $3 285983
650 2 4 $a Waves, instabilities and nonlinear plasma dynamics. $3 919553
650 2 4 $a Nonlinear Optics. $3 913464
650 2 4 $a Computational and Systems Biology. $3 911810
700 1 $a Kevrekidis, Panayotis G. $3 275999
700 1 $a Cuevas-Maraver, Jesus. $3 683838
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830 0 $a Nonlinear systems and complexity ; $v 7. $3 677052
856 4 0 $u https://doi.org/10.1007/978-3-031-54978-6
950 $a Physics and Astronomy (SpringerNature-11651)