Allal, BrahimFragnelli, GenniSalhi, Jawad2023-05-232023-05-232023-02-22Allal, B., Fragnelli, G., & Salhi, J. (2023). Null controllability of coupled systems of degenerate parabolic integro-differential equations. <i>Electronic Journal of Differential Equations, 2023</i>(18), pp. 1-22.1072-6691https://hdl.handle.net/10877/16853This article concerns the null controllability of a coupled system of two degenerate parabolic integro-differential equations with one locally distributed control force. Since the memory terms do not allow applying the standards Carleman estimates directly, we start by proving a null controllability result for an associated nonhomogeneous degenerate coupled system employing new Carleman estimates with appropriate weight functions. As a consequence, we deduce the null controllability result for the initial memory system by using the Kakutani's fixed point Theorem.Text22 pages1 file (.pdf)enAttribution 4.0 InternationalCarleman estimatesParabolic systems involving memory termsObservability inequalityNull controllabilityArticle