02410nam a22004095i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001000153072001700163072002300180072001600203100007300219245012300292250001800415264006900433300003500502336002600537337002600563338003600589347002400625505028600649520076200935650002401697650002701721650002401748650001401772710003401786773002601820776003601846776003601882776003601918856004601954978-3-031-74031-2DE-He21320251030113300.0cr nn 008mamaa241106s2024    sz |    s    |||| 0|eng d  a97830317403127 a10.1007/978-3-031-74031-22doi 4aQA431 7aPBKL2bicssc 7aMAT0340002bisacsh 7aPBKL2thema1 aZhou, Yong.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aFractional Diffusion and Wave Equationsh[electronic resource] :bWell-posedness and Inverse Problems /cby Yong Zhou.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXIII, 344 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aPreface -- 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.  aThis 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. 0aIntegral equations. 0aMathematical analysis.14aIntegral Equations.24aAnalysis.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303174030508iPrinted edition:z978303174032908iPrinted edition:z978303174033640uhttps://doi.org/10.1007/978-3-031-74031-2