Inverse Problems for Fractional Diffusion Equations

Durdimurod K. Durdiev is Head of the Bukhara Branch of the Institute of Mathematics (named after V.I. Romanovskii) in the Academy of Sciences of the Republic of Uzbekistan, Uzbekistan. He is also Professor in the Department of Differential Equations, Bukhara State University, Uzbekistan. He is graduated from Novosibirsk State University, Russia, in 1990. In 1992, at this university, he defended his Ph.D. thesis in physical and mathematical sciences. Further, he defended his doctoral dissertation at the Institute of Mathematics and Information Technologies in Tashkent, in 2010, Uzbekistan. He teaches mathematical analysis, partial differential equations, calculus of variations and optimal control, theory of inverse problems of mathematical physics and theory of integral equations. His areas of scientific interest are in inverse problems for equations of mathematical physics, kernel determination inverse problems in integro-differential equations of hyperbolic and parabolic types, direct and inverse problems for equations with fractional derivatives.

• Coeffcient 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.