Nanofluids play a crucial role in the advancement of everyday life. Nanomaterials can be used in an inclusive choice of applications, including recovering oil, melting electronic components in gadgets, air conditioning fluid development, cooling spirals, engineering and production, heat storing equipment, and bioengineering. Thus, the work focuses on the potential application of nanofluids to improve heat transfer. This analysis presents a computational model for an unsteady Prandtl-Eyring fuzzy
hybrid nanofluid across a wedge including nonlinear thermal energy, imprecise nanoparticle volume fraction, and heat source. A hybrid nanofluid combines Alumina
and Copper (Cu) nanomaterials in a sodium alginate (SA) base liquid. The uncertain nanoparticle volume fraction is (0%, 5%, 10%) triangular fuzzy number (TFN) for comparing hybrid nanofluids and nanofluids. The TFN is controlled by the
technique. Using appropriate similarity variables, a collection of conservative governing partial differential equations (PDEs) is turned into a nondimensional ODEs system. The obtained attributed nonlinear complex ODEs are simulated utilizing the ideas of the bvp4c approach. Graphs and tables depict the scientific and mathematical conclusions for velocity and temperature dispersion patrons instigated by various controlling parameter inputs. The rheological features of the hybrid nanofluid are found to be profoundly affected by the fluid parameters and the wedge angle, however, the unsteady parameter exhibits a contradictory trend. As nanoparticles are added, the fluid temperature goes up while fluid velocity declines. Furthermore, the drag force rises and the heat transmission rate declines due to the unsteady parameter. The fuzzy analysis indicates that fuzzy hybrid nanofluids exhibit the greatest heat transfer when compared to both fuzzy nanofluids.