02741nam a22004935i 4500 978-3-031-74031-2 DE-He213 20251030113300.0 cr nn 008mamaa 241106s2024 sz | s |||| 0|eng d 9783031740312 978-3-031-74031-2 10.1007/978-3-031-74031-2 doi QA431 PBKL bicssc MAT034000 bisacsh PBKL thema Zhou, Yong. author. aut http://id.loc.gov/vocabulary/relators/aut 87087 Fractional Diffusion and Wave Equations [electronic resource] : Well-posedness and Inverse Problems / by Yong Zhou. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XIII, 344 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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. 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. Integral equations. Mathematical analysis. 64178 Integral Equations. Analysis. SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031740305 Printed edition: 9783031740329 Printed edition: 9783031740336 https://doi.org/10.1007/978-3-031-74031-2 ZDB-2-SMA ZDB-2-SXMS 64747 64747