University of Tabriz Computational Methods for Differential Equations 2345-3982 10 4 2022 10 01 Sliding mode control of a class of uncertain nonlinear fractional-order time-varying delayed systems based on Razumikhin approach 860 875 13921 10.22034/cmde.2021.46019.1928 EN Mohammad Ghamgosar Department of Mathematics, Payame Noor University (PNU), Tehran, Iran. Seyed Mehdi Mirhosseini-Alizamini Department of Mathematics, Payame Noor University (PNU), Tehran, Iran. Mahmood Dadkhah Department of Mathematics, Payame Noor University (PNU), Tehran, Iran. Journal Article 2021 05 11 Within the current paper, we design a sliding-based control law to stabilize a set of systems that are nonlinear, fractional order involve delay, perturbation, and uncertainty. A control law-based sliding mode is considered in such a way that the variables of the closed loop system reach the sliding surface in a limited time and stay on it for later times. Then, using the Razomokhin stability theorem, the stability of the systems is proved and in the end, a calculation is found to search for useful methods.  https://cmde.tabrizu.ac.ir/article_13921_a043ff9b86bddd922e4780e8557b7871.pdf