LEADER 02897nam 22006255 450 001 9910903786703321 005 20260121152800.0 010 $a9783031740312 010 $a3031740319 024 7 $a10.1007/978-3-031-74031-2 035 $a(MiAaPQ)EBC31755506 035 $a(Au-PeEL)EBL31755506 035 $a(CKB)36514421200041 035 $a(OCoLC)1472197679 035 $a(DE-He213)978-3-031-74031-2 035 $a(EXLCZ)9936514421200041 100 $a20241106d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFractional Diffusion and Wave Equations $eWell-posedness and Inverse Problems /$fby Yong Zhou 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (355 pages) 225 1 $aMathematics and Statistics Series 311 08$a9783031740305 311 08$a3031740300 320 $aIncludes bibliographical references and index. 327 $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. 330 $aThis monograph delves into the theory of time-fractional diffusion and wave equations, presenting a comprehensive exploration of recent advancements in the field. Key topics include well-posedness, regularity, and approximate controllability of Cauchy problems, as well as the existence and regularity of terminal value problems. Detailed examples illustrate the applications of these equations, demonstrating their practical relevance. The content is rooted in research conducted by the author and other experts over the past five years, offering a thorough foundation for further study. This work is an invaluable resource for researchers, graduate students, and PhD candidates in the fields of differential equations, applied analysis, and related areas. 410 0$aMathematics and Statistics Series 606 $aIntegral equations 606 $aMathematical analysis 606 $aIntegral Equations 606 $aAnalysis 606 $aEquacions diferencials$2thub 606 $aFraccions$2thub 608 $aLlibres electrònics$2thub 615 0$aIntegral equations. 615 0$aMathematical analysis. 615 14$aIntegral Equations. 615 24$aAnalysis. 615 7$aEquacions diferencials 615 7$aFraccions 676 $a515.35 700 $aZhou$b Yong$f1476-1547,$01882555 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910903786703321 996 $aFractional Diffusion and Wave Equations$94497838 997 $aUNINA