  The main idea of this paper is to explore and present the original results
related to the notion of regional boundary gradient strategic sensors in
distributed parameter system for Neumann problem. Thus, this systems is
described by parabolic state space partial differential equations where the
dynamic is governed by strongly continuous semi-group in Hilbert space. In
addition, we give the sufficient conditions which are guaranteed the
characterizations for such sensors in order that regional boundary
approximately gradient observability can be achieved and proved. The obtained
results are applied to two-dimensional circular in a part of considered system
domain with various cases of sensors locations are tackled and studied.
