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



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Autore: Zhou Yong <1476-1547, > Visualizza persona
Titolo: Fractional Diffusion and Wave Equations : Well-posedness and Inverse Problems / / by Yong Zhou Visualizza cluster
Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024
Edizione: 1st ed. 2024.
Descrizione fisica: 1 online resource (355 pages)
Disciplina: 515.35
Soggetto topico: Integral equations
Mathematical analysis
Integral Equations
Analysis
Equacions diferencials
Fraccions
Soggetto genere / forma: Llibres electrònics
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Fractional Diffusion and Wave Equations  Visualizza cluster
ISBN: 9783031740312
3031740319
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910903786703321
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Serie: Mathematics and Statistics Series