en تخصصي Special پژوهشي Research paper <div style="text-align: justify;">In this work, the goal is to achieve both stabilization and synchronization of a general class of fractional-order chaotic systems. It is assumed that there are uncertainties and external disturbances in the system, and it is also supposed that the system parameters are unknown. Uncertainties and disturbances are undesirable factors that can disrupt the system response. To this end, appropriate adaptive laws have been proposed to address these factors. A systematic step-by-step technique is also developed for designing a controller based on the backstepping method. The analysis of the proposed control structure is carried out according to the fractional Lyapunov theorem which is a more realistic technique for the analysis and stability of nonlinear systems. Finally, the simulation results are presented to confirm and prove the effectiveness of the proposed method. The results of implementing our proposed controller for different fractional-order chaotic systems are compared with some control approaches in the available papers and it confirms the superiority of the proposed control in this paper.</div> Adaptive control, backstepping control, chaotic system, fractional calculus, synchronization. 71 83 http://jocee.kntu.ac.ir/browse.php?a_code=A-10-5-1&slc_lang=en&sid=1 Zahra Rashidnejad zahra_rashidnejad@yahoo.com 1003194753284600283 1003194753284600283 Yes Departments of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran Departments of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran paknosh karimaghaee kaghaee@shirazu.ac.ir 1003194753284600284 1003194753284600284 No Departments of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran Departments of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran