Fractional Diffusion and Wave Equations : Well-posedness and Inverse Problems / by Yong Zhou.

Format:

Book

Author/Creator:

Zhou, Yong, 1476-1547, author.

Series:

Mathematics and Statistics Series

Language:

English

Subjects (All):

Integral equations.

Mathematical analysis.

Integral Equations.

Analysis.

Local Subjects:

Integral Equations.

Analysis.

Physical Description:

1 online resource (355 pages)

Edition:

1st ed. 2024.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2024.

Summary:

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.

Contents:

Preface

Introduction

Preliminaries

Well-posedness of Fractional Diffusion Equations

Inverse Problems of Fractional Diffusion Equations

Well-posedness and Regularity of Fractional Wave Equations

Inverse Problems of Fractional Wave Equations

References

Index.

Notes:

Includes bibliographical references and index.

ISBN:

9783031740312

3031740319

OCLC:

1472197679