One of the key applications Caputo fractional derivative is that order can be utilized as a parameter to improve mathematical model by comparing it real data. To do so, we must first establish solution dynamic equations exists and unique on its interval existence. The vast majority existence uniqueness results available in literature, including Picard’s method, for ordinary and/or will result o...

In this paper, the problem of fault-tolerant control actuators for multi-joint robots is studied. Aiming at jitter in design law conventional sliding mode controllers (SMC), a controller method based on fractional-order (FSMC) theory proposed. At first, mathematical model robot established and surface constructed according to model. Then, robust designed Lyapunov function. Finally, experiments ...

This paper presents a Taylor series approach for solving linear fractional de-centralized bi-level multi-objective decision-making (LFDBL-MODM) problems with asingle decision maker at the upper level and multiple decision makers at the lower level.In the proposed approach, the membership functions associated with each objective(s) ofthe level(s) of LFDBL-MODM are transformed by using a Taylor s...