## 1 Introduction  
Recently, the Internet of Things (IoTs) has seen significant improvements in machine-to-machine (M2M) interactions, as well as a rising demand for IoT connections. IoT applications use intelligent devices to gather, process, and publish data on a regular basis. Billions of smart devices are connected to the Internet to enable a variety of applications, including smart building, industrial automation, smart health, and smart agriculture. Smart devices can access multimedia devices connected to the Internet of Things [1, 2]. Several studies have supported the use of IoT wireless technology. However, it remains difficult to satisfy the demands of IoT applications in the future that will support hundreds of billions of linked devices [3, 4]. Non-orthogonal multiple-access (NOMA) approaches are a well-studied strategy for offering significant spectral efficiency (SE) use in IoT networks [5, 6, 7], satellite networks [8, 9, 10], and V2V networks [11, 12]. NOMA enables several users to use the same time and frequency block with varying transmit power allocations [13, 14]. Furthermore, it employs superposition coding (SC) on the transmitter to accommodate signals from numerous users, and successive interference cancellation (SIC) at the receiver to separate and decrease interference [15; 16]. NOMA technology is critical for future network capacity expansion. In particular, NOMA has been enhanced to increase cooperative communications, allowing users with superior channel conditions to act as a decode-and-forward (DF) or amplify-and-forward (AF) relay, improving information delivery and transmission reliability [17; 18; 19; 20]. Moreover, the outage performance of a DF-based NOMA system under full-duplex (FD) and half-duplex (HD) situations was studied in [17]. Furthermore, over Nakagami-\(m\) fading, the outage probability (OP) and sum rate of the cooperative NOMA system with DF relay were investigated [18]. Additionally, the authors examined the downlink NOMA outage patterns using both DF and AF protocols [19], where it was possible to ascertain the decoding order of cell-edge users' data based on incomplete channel status information. The two-way relay cooperative NOMA system's OP and ergodic rate were studied in light of the possible performance boost provided by FD cooperative NOMA [20]. Wireless power transfer (WPT) is a potential technique for extending the life of energy-constrained wireless networks, such as wireless sensor networks and post-disaster emergency communication [21]. WPT-based networks are classified into two types: simultaneous wireless information and power transfer (SWIPT) [22; 23; 24] and wireless-powered communication networks (WPCN) [25; 26; 27]. SWIPT transports both information and energy via radio frequency (RF) signals, whereas WPCN harvests energy from a specialized power station and utilizes it for wireless information transmission (WIT) such as a power beacon (PB) or a hybrid access point (HAP). Both models have been thoroughly investigated in a variety of settings, focusing on the trade-off between data rate and energy harvesting (EH) amount with two techniques: the time-switching (TS) and power-splitting (PS) protocols. Furthermore, the RF-EH protocols for a dual-hop relaying communication system are modeled after the TS and PS SWIPT protocols for non-relay point-to-point networks. In particular, these techniques, called time switching-based relaying (TSR) and power splitting-based relaying (PSR), collect energy from the source information stream [28]. The authors of [29] investigate multiple DF energy-constrained relays utilizing best relay selection and a hybrid TSR/PSR SWIPT RF-EH protocol, calculating OP and ergodic capacity with the extreme value theorem. In [30], the authors investigate a dual-hop cooperative relaying system with numerous energy-constrained relays utilizing the TSR SWIPT RF-EH protocol. The system's OP is calculated using Nakagami-m fading in tight lower limits.