Orthogonal Frequency Division Multiplexing (OFDM) is highly evaluated in wireless systems to attain high-rate data transmission due to their efficiency of high spectrum, and low complexity. However, the Peak-to-Average Power Ratio (PAPR) is the primary drawback of the OFDM. Partial Transmit Sequences (PTS) and Selecting Mapping (SLM) are the two significant approaches for minimizing the PAPR but they require sending data to determine how the transmitter produces signals. In this research, the Improved Butterfly Optimization Algorithm (IBOA) is proposed to minimize PAPR without transferring side information. Low-Density Parity Check (LDPC) codes are linear error-correcting codes employed for the transmission of data over noisy channels. To maximize the initial population in the BOA approach, circle chaotic mapping is employed. To prevent the BOA from entering into a local optimum, fractional derivative is widely employed to increase the memory capacity and BOA convergence, which improve the searchability and memorability of iterative processes. The proposed IBOA approach achieves 10–5 BER with standard value of SNR 10 dB compared to the existing approaches.