ON THE STABILITY OF A DEGENERATE VIBRATING SYSTEM UNDER FRACTIONAL DERIVATIVE CONTROLS

noureddine mouslim, abbes benaissa Benaissa

Abstract


In this paper, we consider a coupled system of degenerate wave equations with the
fractional feedback acting on one end only. First, we reformulate each system into
an augmented model and using a general criteria of Arendt-Batty, we prove that
our models are strongly stable. Next, by using a spectrum method, we establish
nonuniform stabilization.
AMS 2010 Classicatio


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