University of Tabriz Computational Methods for Differential Equations 2345-3982 13 3 2025 07 01 Control of fractional-order chaotic systems under perturbations 1037 1046 19588 10.22034/cmde.2025.59973.2556 EN Saeed Mirzajani Department of Basic Sciences, Technical and Vocational University (TVU), Tehran, Iran. Journal Article 2024 01 07 In this paper, an appropriate fractional-integer integral sliding mode method for the control of fractional-order chaotic systems with perturbations such as uncertainties and external disturbances is addressed. When the upper bound of the perturbations is determined, a sliding mode controller is presented. Also, when the upper bound of the perturbations is unknown, an adaptive sliding mode control is designed. Analysis of the stability of the sliding mode surface is presented using the Lyapunov stability theory. Eventually, the results were carried out for the control of the complex fractional order chaotic T system. https://cmde.tabrizu.ac.ir/article_19588_a9e42a0b8673d008492674d5d07e0db6.pdf