02897nam 22006255 450 991090378670332120260121152800.09783031740312303174031910.1007/978-3-031-74031-2(MiAaPQ)EBC31755506(Au-PeEL)EBL31755506(CKB)36514421200041(OCoLC)1472197679(DE-He213)978-3-031-74031-2(EXLCZ)993651442120004120241106d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierFractional Diffusion and Wave Equations Well-posedness and Inverse Problems /by Yong Zhou1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (355 pages)Mathematics and Statistics Series9783031740305 3031740300 Includes bibliographical references and index.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.Mathematics and Statistics SeriesIntegral equationsMathematical analysisIntegral EquationsAnalysisEquacions diferencialsthubFraccionsthubLlibres electrònicsthubIntegral equations.Mathematical analysis.Integral Equations.Analysis.Equacions diferencialsFraccions515.35Zhou Yong1476-1547,1882555MiAaPQMiAaPQMiAaPQBOOK9910903786703321Fractional Diffusion and Wave Equations4497838UNINA