Fractional In Time Semilinear Parabolic Equations And Applications
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Author |
: Ciprian G. Gal |
Publisher |
: Springer Nature |
Total Pages |
: 193 |
Release |
: 2020-09-23 |
ISBN-10 |
: 9783030450434 |
ISBN-13 |
: 3030450430 |
Rating |
: 4/5 (34 Downloads) |
Synopsis Fractional-in-Time Semilinear Parabolic Equations and Applications by : Ciprian G. Gal
This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations. This class of equations is characterized by the presence of a nonlinear time-dependent source, generally of arbitrary growth in the unknown function, a time derivative in the sense of Caputo and the presence of a large class of diffusion operators. The global regularity problem is then treated separately and the analysis is extended to some systems of fractional kinetic equations, including prey-predator models of Volterra–Lotka type and chemical reactions models, all of them possibly containing some fractional kinetics. Besides classical examples involving the Laplace operator, subject to standard (namely, Dirichlet, Neumann, Robin, dynamic/Wentzell and Steklov) boundary conditions, the framework also includes non-standard diffusion operators of "fractional" type, subject to appropriate boundary conditions. This book is aimed at graduate students and researchers in mathematics, physics, mathematical engineering and mathematical biology, whose research involves partial differential equations.
Author |
: University of Minnesota. Institute for Mathematics and Its Applications |
Publisher |
: |
Total Pages |
: 22 |
Release |
: 1993 |
ISBN-10 |
: OCLC:123336783 |
ISBN-13 |
: |
Rating |
: 4/5 (83 Downloads) |
Synopsis Semilinear Parabolic Equations with Prescribed Energy by : University of Minnesota. Institute for Mathematics and Its Applications
Author |
: Bangti Jin |
Publisher |
: Springer Nature |
Total Pages |
: 377 |
Release |
: 2021-07-22 |
ISBN-10 |
: 9783030760434 |
ISBN-13 |
: 303076043X |
Rating |
: 4/5 (34 Downloads) |
Synopsis Fractional Differential Equations by : Bangti Jin
This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations. It addresses both ordinary and partial differential equations with a focus on detailed solution theory, especially regularity theory under realistic assumptions on the problem data. The text includes an extensive bibliography, application-driven modeling, extensive exercises, and graphic illustrations throughout to complement its comprehensive presentation of the field. It is recommended for graduate students and researchers in applied and computational mathematics, particularly applied analysis, numerical analysis and inverse problems.
Author |
: Panayotis G. Kevrekidis |
Publisher |
: Springer Nature |
Total Pages |
: 337 |
Release |
: |
ISBN-10 |
: 9783031549786 |
ISBN-13 |
: 3031549783 |
Rating |
: 4/5 (86 Downloads) |
Synopsis Fractional Dispersive Models and Applications by : Panayotis G. Kevrekidis
Author |
: Anatoly Kochubei |
Publisher |
: Walter de Gruyter GmbH & Co KG |
Total Pages |
: 528 |
Release |
: 2019-02-19 |
ISBN-10 |
: 9783110571660 |
ISBN-13 |
: 3110571668 |
Rating |
: 4/5 (60 Downloads) |
Synopsis Fractional Differential Equations by : Anatoly Kochubei
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 |
: |
Publisher |
: Elsevier |
Total Pages |
: 596 |
Release |
: 2022-02-15 |
ISBN-10 |
: 9780323853392 |
ISBN-13 |
: 0323853390 |
Rating |
: 4/5 (92 Downloads) |
Synopsis Numerical Control: Part A by :
Numerical Control: Part A, Volume 23 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Numerics for finite-dimensional control systems, Moments and convex optimization for analysis and control of nonlinear PDEs, The turnpike property in optimal control, Structure-Preserving Numerical Schemes for Hamiltonian Dynamics, Optimal Control of PDEs and FE-Approximation, Filtration techniques for the uniform controllability of semi-discrete hyperbolic equations, Numerical controllability properties of fractional partial differential equations, Optimal Control, Numerics, and Applications of Fractional PDEs, and much more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Handbook of Numerical Analysis series Updated release includes the latest information on Numerical Control
Author |
: Bei Hu |
Publisher |
: Springer |
Total Pages |
: 137 |
Release |
: 2011-03-17 |
ISBN-10 |
: 9783642184604 |
ISBN-13 |
: 364218460X |
Rating |
: 4/5 (04 Downloads) |
Synopsis Blow-up Theories for Semilinear Parabolic Equations by : Bei Hu
There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.
Author |
: Sergey I Piskarev |
Publisher |
: World Scientific |
Total Pages |
: 213 |
Release |
: 2023-07-05 |
ISBN-10 |
: 9789811272790 |
ISBN-13 |
: 9811272794 |
Rating |
: 4/5 (90 Downloads) |
Synopsis Attractors, Shadowing, And Approximation Of Abstract Semilinear Differential Equations by : Sergey I Piskarev
The book is devoted to some branches of the theory of approximation of abstract differential equations, namely, approximation of attractors in the case of hyperbolic equilibrium points, shadowing, and approximation of time-fractional semilinear problems.In this book, the most famous methods of several urgent branches of the theory of abstract differential equations scattered in numerous journal publications are systematized and collected together, which makes it convenient for the initial study of the subject and also for its use as a reference book. The presentation of the material is closed and accompanied by examples; this makes it easier to understand the material and helps beginners to quickly enter into the circle of ideas discussed.The book can be useful for specialists in partial differential equations, functional analysis, theory of approximation of differential equations, and for all researchers, students, and postgraduates who apply these branches of mathematics in their work.
Author |
: Bangti Jin |
Publisher |
: Springer Nature |
Total Pages |
: 428 |
Release |
: 2023-02-26 |
ISBN-10 |
: 9783031210501 |
ISBN-13 |
: 3031210506 |
Rating |
: 4/5 (01 Downloads) |
Synopsis Numerical Treatment and Analysis of Time-Fractional Evolution Equations by : Bangti Jin
This book discusses numerical methods for solving time-fractional evolution equations. The approach is based on first discretizing in the spatial variables by the Galerkin finite element method, using piecewise linear trial functions, and then applying suitable time stepping schemes, of the type either convolution quadrature or finite difference. The main concern is on stability and error analysis of approximate solutions, efficient implementation and qualitative properties, under various regularity assumptions on the problem data, using tools from semigroup theory and Laplace transform. The book provides a comprehensive survey on the present ideas and methods of analysis, and it covers most important topics in this active area of research. It is recommended for graduate students and researchers in applied and computational mathematics, particularly numerical analysis.
Author |
: Ivan Georgiev |
Publisher |
: Springer Nature |
Total Pages |
: 365 |
Release |
: 2023-05-15 |
ISBN-10 |
: 9783031324123 |
ISBN-13 |
: 3031324129 |
Rating |
: 4/5 (23 Downloads) |
Synopsis Numerical Methods and Applications by : Ivan Georgiev
This book constitutes the thoroughly refereed post-conference proceedings of the 10th International Conference on Numerical Methods and Applications, NMA 2022, held in Borovets, Bulgaria, in August 2022.The 30 revised regular papers presented were carefully reviewed and selected from 38 submissions for inclusion in this book. The papers are organized in the following topical sections: numerical search and optimization; problem-driven numerical method: motivation and application, numerical methods for fractional diffusion problems; orthogonal polynomials and numerical quadratures; and Monte Carlo and Quasi-Monte Carlo methods.