In this paper, the stability of conformable fractional-order nonlinear systems depending on a parameter is presented and described. Furthermore, The design of a feedback controller for the same class of conformable fractional-order systems is introduced. Illustrative examples are given at the end of the paper to show the effectiveness of the proposed results.
We provide sufficient conditions for the existence of periodic solutions of the second-order differentia equation with variable potentials −(px’)’(t) − r(t)p(t)x’(t) + q(t)x(t) = f(t, x(t)), where the functions p(t) > 0, q(t), r(t) and f(t, x) are C2 and T-periodic in the variable t.
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