Nonlinear adaptive control of immune response of renal transplant recipients in the presence of uncertainties

On the Barbalat lemma extension for the generalized conformable fractional integrals: Application to adaptive observer design

“…The works given in previous studies [32][33][34][35][36] employed the classical integer-order Barbalat lemma to show their primary result, and the whole works dealt with integer-order nonlinear systems as a comparison. In our situation, however, the Barbalat lemma has been fully generalized to the case of generic conformable FOSs.…”

“…Indeed, extending these results to the general situation of conformable fractional orders will be an intriguing future research project. Note that the aforementioned interpretation applies to a large number of published studies; however, in this case, we have only compared the works [32][33][34][35][36]. The key point is to explain how our recommended work differs from other works.…”