Linear Fractional Diffusion Wave Equation For Scientists And Engineers
DOWNLOAD
Download Linear Fractional Diffusion Wave Equation For Scientists And Engineers PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Linear Fractional Diffusion Wave Equation For Scientists And Engineers book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Linear Fractional Diffusion Wave Equation For Scientists And Engineers
DOWNLOAD
Author : Yuriy Povstenko
language : en
Publisher:
Release Date : 2015
Linear Fractional Diffusion Wave Equation For Scientists And Engineers written by Yuriy Povstenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
This book systematically presents solutions to the linear time-fractional diffusion-wave equation. It introduces the integral transform technique and discusses the properties of the Mittag-Leffler, Wright, and Mainardi functions that appear in the solutions. The time-nonlocal dependence between the flux and the gradient of the transported quantity with the "long-tail" power kernel results in the time-fractional diffusion-wave equation with the Caputo fractional derivative. Time-nonlocal generalizations of classical Fourier's, Fick's and Darcy's laws are considered and different kinds of boundary conditions for this equation are discussed (Dirichlet, Neumann, Robin, perfect contact). The book provides solutions to the fractional diffusion-wave equation with one, two and three space variables in Cartesian, cylindrical and spherical coordinates. The respective sections of the book can be used for university courses on fractional calculus, heat and mass transfer, transport processes in porous media and fractals for graduate and postgraduate students. The volume will also serve as a valuable reference guide for specialists working in applied mathematics, physics, geophysics and the engineering sciences.
Linear Fractional Diffusion Wave Equation For Scientists And Engineers
DOWNLOAD
Author : Yuriy Povstenko
language : en
Publisher: Birkhäuser
Release Date : 2015-07-03
Linear Fractional Diffusion Wave Equation For Scientists And Engineers written by Yuriy Povstenko and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-03 with Mathematics categories.
This book systematically presents solutions to the linear time-fractional diffusion-wave equation. It introduces the integral transform technique and discusses the properties of the Mittag-Leffler, Wright, and Mainardi functions that appear in the solutions. The time-nonlocal dependence between the flux and the gradient of the transported quantity with the “long-tail” power kernel results in the time-fractional diffusion-wave equation with the Caputo fractional derivative. Time-nonlocal generalizations of classical Fourier’s, Fick’s and Darcy’s laws are considered and different kinds of boundary conditions for this equation are discussed (Dirichlet, Neumann, Robin, perfect contact). The book provides solutions to the fractional diffusion-wave equation with one, two and three space variables in Cartesian, cylindrical and spherical coordinates. The respective sections of the book can be used for university courses on fractional calculus, heat and mass transfer, transport processes in porous media and fractals for graduate and postgraduate students. The volume will also serve as a valuable reference guide for specialists working in applied mathematics, physics, geophysics and the engineering sciences.
Fractional Diffusion And Wave Equations
DOWNLOAD
Author : Yong Zhou
language : en
Publisher: Springer Nature
Release Date : 2024-11-05
Fractional Diffusion And Wave Equations written by Yong Zhou and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-05 with Mathematics categories.
This monograph delves into the theory of time-fractional diffusion and wave equations, presenting a comprehensive exploration of recent advancements in the field. Key topics include well-posedness, regularity, and approximate controllability of Cauchy problems, as well as the existence and regularity of terminal value problems. Detailed examples illustrate the applications of these equations, demonstrating their practical relevance. The content is rooted in research conducted by the author and other experts over the past five years, offering a thorough foundation for further study. This work is an invaluable resource for researchers, graduate students, and PhD candidates in the fields of differential equations, applied analysis, and related areas.
Linear Partial Differential Equations For Scientists And Engineers
DOWNLOAD
Author : Tyn Myint-U
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-05
Linear Partial Differential Equations For Scientists And Engineers written by Tyn Myint-U and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-05 with Mathematics categories.
This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books. It also contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; solutions are provided.
Fractional Thermoelasticity
DOWNLOAD
Author : Yuriy Povstenko
language : en
Publisher: Springer Nature
Release Date : 2024-08-25
Fractional Thermoelasticity written by Yuriy Povstenko and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-25 with Science categories.
This new edition offers expanded coverage of fractional calculus, including Riemann–Liouville fractional integrals, Riemann–Liouville and Caputo fractional derivatives, Riesz fractional operators, and Mittag-Leffler and Wright functions. Additionally, it provides a comprehensive examination of fractional heat conduction and related theories of thermoelasticity. Readers will gain insights into the concepts of time and space nonlocality and their impact on the generalizations of Fourier's law in thermoelasticity. This edition presents a detailed formulation of the problem of heat conduction in different domains and the associated thermal stresses, covering topics such as the fundamental solution to the Dirichlet problem, constant boundary conditions for temperature, and the fundamental solution to the physical Neumann problem. New insights into time-harmonic heat impact on the boundary have also been added. Cracks in the framework of fractional thermoelasticity are also considered.
Mathematical Modeling Using Differential Equations And Network Theory
DOWNLOAD
Author : Ioannis Dassios
language : en
Publisher: MDPI
Release Date : 2020-06-23
Mathematical Modeling Using Differential Equations And Network Theory written by Ioannis Dassios and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-23 with Technology & Engineering categories.
This Special Issue collects the latest results on differential/difference equations, the mathematics of networks, and their applications to engineering and physical phenomena. It features nine high-quality papers that were published with original research results. The Special Issue brings together mathematicians with physicists, engineers, as well as other scientists.
Advances In Non Integer Order Calculus And Its Applications
DOWNLOAD
Author : Agnieszka B. Malinowska
language : en
Publisher: Springer
Release Date : 2019-04-17
Advances In Non Integer Order Calculus And Its Applications written by Agnieszka B. Malinowska and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-17 with Computers categories.
This book provides an overview of some recent findings in the theory and applications of non-integer order systems. Discussing topics ranging from the mathematical foundations to technical applications of continuous-time and discrete-time fractional calculus, it includes 22 original research papers and is subdivided into four parts: • Mathematical Foundations • Approximation, Modeling and Simulations • Fractional Systems Analysis and Control • Applications The papers were selected from those presented at the 10th International Conference of Non-integer Order Calculus and its Applications, which was held at the Bialystok University of Technology, Poland, September 20–21, 2018. Thanks to the broad spectrum of topics covered, the book is suitable for researchers from applied mathematics and engineering. It is also a valuable resource for graduate students, as well as for scholars looking for new mathematical tools.
Numerical Methods And Applications
DOWNLOAD
Author : Ivan Georgiev
language : en
Publisher: Springer Nature
Release Date : 2023-05-15
Numerical Methods And Applications written by Ivan Georgiev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-15 with Mathematics categories.
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.
Fractional Modeling Of Fluid Flow And Transport Phenomena
DOWNLOAD
Author : Mohamed F. El-Amin
language : en
Publisher: Elsevier
Release Date : 2025-01-31
Fractional Modeling Of Fluid Flow And Transport Phenomena written by Mohamed F. El-Amin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-31 with Technology & Engineering categories.
Fractional Modeling of Fluid Flow and Transport Phenomena focuses on mathematical and numerical aspects of fractional-order modeling in fluid flow and transport phenomena. The book covers fundamental concepts, advancements, and practical applications, including modeling developments, numerical solutions, and convergence analysis for both time and space fractional order models. Various types of flows are explored, such as single- and multi-phase flows in porous media, involving different fluid types like Newtonian, non-Newtonian, nanofluids, and ferrofluids. This book serves as a comprehensive reference on fractional-order modeling of fluid flow and transport phenomena, offering a single resource that is currently unavailable.Fractional-order modeling has gained traction in engineering and science, particularly in fluid dynamics and transport phenomena. However, its mathematical and numerical advancements have progressed relatively slowly compared to other aspects. Therefore, this book emphasizes the fractional-order modeling of fluid flow and transport phenomena to bridge this gap. Each chapter in the book delves into a specific topic closely related to the others, ensuring a cohesive and self-contained structure. - Covers advancements in fractional-order fluid flow problems - Serves as a comprehensive reference on fractional-order modeling of fluid flow and transport phenomena - Demonstrates the topic with different aspects, including modeling, mathematical, computational, and physical commentary
Introduction To Fractional Differential Equations
DOWNLOAD
Author : Constantin Milici
language : en
Publisher: Springer
Release Date : 2018-10-28
Introduction To Fractional Differential Equations written by Constantin Milici and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-28 with Mathematics categories.
This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus – a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and computer fields, and the transition from integer- to fractional-order methods.