Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 1, pp. 131-144
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Mohammed Matar; Hassan N. Abu Ghalwab; Mohammed Matar; Hassan N. Abu Ghalwab. Approximate controllability of nonlocal fractional integrodifferential control systems of order $1 < \alpha < 2$. Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 1, pp. 131-144. http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a10/
@article{AMUC_2019_88_1_a10,
author = {Mohammed Matar and Hassan N. Abu Ghalwab and Mohammed Matar and Hassan N. Abu Ghalwab},
title = { Approximate controllability of nonlocal fractional integrodifferential control systems of order $1 < \alpha < 2$},
journal = {Acta mathematica Universitatis Comenianae},
pages = {131--144},
year = {2019},
volume = {88},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a10/}
}
TY - JOUR
AU - Mohammed Matar
AU - Hassan N. Abu Ghalwab
AU - Mohammed Matar
AU - Hassan N. Abu Ghalwab
TI - Approximate controllability of nonlocal fractional integrodifferential control systems of order $1 < \alpha < 2$
JO - Acta mathematica Universitatis Comenianae
PY - 2019
SP - 131
EP - 144
VL - 88
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a10/
ID - AMUC_2019_88_1_a10
ER -
%0 Journal Article
%A Mohammed Matar
%A Hassan N. Abu Ghalwab
%A Mohammed Matar
%A Hassan N. Abu Ghalwab
%T Approximate controllability of nonlocal fractional integrodifferential control systems of order $1 < \alpha < 2$
%J Acta mathematica Universitatis Comenianae
%D 2019
%P 131-144
%V 88
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a10/
%F AMUC_2019_88_1_a10
In this article, we obtain sucient conditions for the approximate controllability of the fractional integral-differential systemCD0^{\alpha} x (t) = Ax (t) + Bu (t) + I0^{2-\alpha} f (t; x (t) ;Hx (t)) ; t \in 2 (0; b];x (0) + g0 (x) = x0 \in X, x'(0) + g1 (x) = x1 \in X;where A : D(A) \subseteq X \to X is sectorial operator on a Hilbert space X, Bis a bounded linear operator from admissible Hilbert control space U intoX. The nonlinear function f : JxXxX \to X, and the nonlocal functionsg0 and g1 are continuous functions. The operator H is bounded on X.
