The requirement of low power, as well as extensive area coverage, are significant challenges in wireless communication. A DF category relay can be applied for the purpose. This paper analyzes the ASER of non-coherent modulation techniques for a dual-hop transmission model. The MRC diversity receiver is utilized to collect the transmitted signals. The channels of this dual-hop communication model are affected by a useful fading model named α-F fading channel. The α-F fading model includes two notable patterns namely the α-μ fading statistics and the composite Fisher-Snedecor F statistics. The impact of shadowing, multipath clusters and the non-linearity of the propagation path are associated with the α-F fading statistics. The mathematical statement of ASER is obtained in relation to the MGF of the link SNR and the MRC production SNR. The Meijer’s G function is utilized in the ASER statement. The ASER of the model decreases with light shadowing and with the enhancement of the multipath clusters of the channels. The ASER performance improves rapidly with a small increment in the nonlinearity of the transmission medium. Non-coherent modulation types, namely NCFSK as well as DPSK, are applied for the investigation of the ASER. The outcomes display that ASER decreases at higher amounts of average SNR. Similarly, DPSK modulation is observed to offer an enhanced ASER performance in comparison to NCFSK. Simulation is executed to justify the ASER statement.