LEADER 03047nam 22005175 450 001 9911010526103321 005 20250616135206.0 010 $a981-9653-38-X 024 7 $a10.1007/978-981-96-5338-6 035 $a(MiAaPQ)EBC32156829 035 $a(Au-PeEL)EBL32156829 035 $a(CKB)39300714100041 035 $a(OCoLC)1524424425 035 $a(DE-He213)978-981-96-5338-6 035 $a(EXLCZ)9939300714100041 100 $a20250616d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInverse Problems for Fractional Diffusion Equations /$fby Durdimurod K. Durdiev 205 $a1st ed. 2025. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2025. 215 $a1 online resource (476 pages) 225 1 $aIndustrial and Applied Mathematics,$x2364-6845 311 08$a981-9653-37-1 327 $aCoeffcient Determination Problems with Local Boundary and Overdetermination Conditions -- Inverse Coeffcient Problems with Nonlocal Initial and Integral Overdetermination Conditions -- Coeffcient Determination Problems with Cauchy and Overdetermination Conditions -- Carleman Estimate Method in Inverse Problems for a Fractional Diffusion Equation -- Determination of Source and Initial Functions -- Convolution Kernel Determination Problems in Fractional Diffusion Equations -- Determining Two Unknown Functions in a Fractional Diffusion Equation. 330 $aThis book discusses various inverse problems for the time-fractional diffusion equation, such as inverse coefficient problems (nonlinear problems) and inverse problems for determining the right-hand sides of equations and initial functions (linear problems). The study of inverse problems requires a comprehensive investigation of direct problems (such as representation formulas, a priori estimates and differential properties of the solution). This is particularly evident in nonlinear problems, where obtaining solvability theorems necessitates careful tracking of the exact dependence of the differential properties of the solution to the direct problem on the smoothness of the coefficients and other problem data. Therefore, a significant portion of the book is devoted to direct problems, such as initial problems (Cauchy problems) and initial-boundary value problems with various boundary conditions. 410 0$aIndustrial and Applied Mathematics,$x2364-6845 606 $aDifference equations 606 $aFunctional equations 606 $aDifference and Functional Equations 615 0$aDifference equations. 615 0$aFunctional equations. 615 14$aDifference and Functional Equations. 676 $a515.625 676 $a515.75 700 $aDurdiev$b Durdimurod K$01368915 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911010526103321 996 $aInverse Problems for Fractional Diffusion Equations$94397599 997 $aUNINA