Fractional Partial Differential Equations 1st Edition by Yong Zhou – Ebook PDF Instant Download/Delivery: 9789811290404, 9811290407
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Product details:
• ISBN 10:9811290407
• ISBN 13:9789811290404
• Author:Yong Zhou
This monograph offers a comprehensive exposition of the theory surrounding time-fractional partial differential equations, featuring recent advancements in fundamental techniques and results. The topics covered encompass crucial aspects of the theory, such as well-posedness, regularity, approximation, and optimal control. The book delves into the intricacies of fractional Navier–Stokes equations, fractional Rayleigh–Stokes equations, fractional Fokker–Planck equations, and fractional Schrödinger equations, providing a thorough exploration of these subjects. Numerous real-world applications associated with these equations are meticulously examined, enhancing the practical relevance of the presented concepts.
The content in this monograph is based on the research works carried out by the author and other excellent experts during the past five years. Rooted in the latest advancements, it not only serves as a valuable resource for understanding the theoretical foundations but also lays the groundwork for delving deeper into the subject and navigating the extensive research landscape. Geared towards researchers, graduate students, and PhD scholars specializing in differential equations, applied analysis, and related research domains, this monograph facilitates a nuanced understanding of time-fractional partial differential equations and their broader implications.
Readership: Mathematicians and graduate students for research, seminars, and advanced graduate courses in pure and applied mathematics. The researchers using fractional calculus as a tool in the fields of physics, mechanics, engineering, biology, and graduate students for research, seminars, and advanced graduate courses, in physics, mechanics, engineering, biology, and related disciplines.
Fractional Partial Differential Equations 1st Table of contents:
1. Preliminaries.
2. Fractional Integrals and Fractional Derivatives.
3. Ordinary Fractional Differential Equations. Existence and Uniqueness Theorems.
4. Methods for Explicitly solving Fractional Differential Equations.
5. Integral Transform Methods for Explicit Solutions to Fractional Differential Equations.
6. Partial Fractional Differential Equations.
7. Sequential Linear Differential Equations of Fractional Order.
8. Further Applications of Fractional Models.BibliographySubject Index
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Fractional Partial,Differential Equations,Yong Zhou