“…Recently intelligent computing solvers are implemented on different applications of paramount importance such as nonlinear circuit theory models [32,33], nonlinear singular fractional Lane-Emden systems [34], nonlinear optics [35], nonlinear Van-der Pol Mathieu's oscillatory systems [36], nanotechnology [37,38], magnetohydrodynamics [39,40], nonlinear SITR model for novel COVID-19 dynamics [41], astrophysics [42], atomic physics [43], nonlinear singular boundary value problems [44], random matrix theory [45], electromagnetics [46,47], bioinformatics [48,49], financial models [50,51] and ordinary/partial fractional order differential equations [52][53][54]. Additionally, AI-based networks using Bayesian neural networks are exploited in different applications such as optimization of fluid flow processes [55,56], modeling of the explosion risk of the fixed offshore platforms [57], reliable optimization of complex equipment in automotive manufacturing [58], and solution dynamics of bioconvective nanofluidic models [59]. All this reported literature-inspired authors to examine the AI-based computing methodologies using Bayesian neural networks to solve the nonlinear differential systems governing the peristaltic flows of Newtonian and non-Newtonian fluidic models.…”