Speaker:Mahamadi Warma, University of Puerto Rico
Title: Some Recent Progress on the Controllability of Fractional Super Diffusion Equations

Abstract: We study the controllability of fractional super diffusion equations associated with the Caputo fractional Derivative and a general non-negative uniformly elliptic operator with Dirichlet or Robin type boundary conditions. The case of the fractional Laplace operator with boundary conditions will be also considered. We show that such systems are never controllable in the classical sense, but they are always approximately controllable from the interior or from the boundary. Our techniques are based on an explicit representation of solutions using eigenfunctions expansions, the Mittag-Leffler functions and an analytic continuation properties that have the solutions.

Time: Friday, November 6, 2015, 1:30-2:30 p.m.

Place: Exploratory Hall, Room 4106

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George Mason University
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