Hysteresis has been proposed as a biological mechanism that influences neuronal short-term memory and is related to cortical mechanisms involved in visual and auditory perceptions, among others. Due to the memory explanation of a fractional-order derivative, it is interesting to study its influence on neuronal phenomena such as hysteresis. In this work, we examine fractional-order hysteresis in a fractional-order neural field model. We derive explicit fractional-order solutions for the case of a Heaviside synaptic activation function with a periodic external input and in the absence of inhibitory external input. Our results show that neuronal hysteresis depends on the external input rate and the fractional order. Additionally, we numerically obtain hysteresis loops in the more general case of a sigmoid activation function. Finally, we postulate potential memory effects due to the fractional-order derivative on neuronal hysteresis and relate our findings to experimental observations in visual perception tasks.