<p>This work intends to investigate several slip effects on a three-dimensional, steady, incompressible, viscous, electrically conducting Oldroyd-B fluid in addition to Casson and nanofluids in presence of thermal diffusion, diffusion thermo, and Cattaneo-Christov double diffusion effects. This work also considers the Schmidt number, thermophoresis, the Prandtl number, Brownian motion effects, and aspects of chemical processes. The vast spectrum of applications for constitutive equations encompassing mass, energy, and concentration has been expanded by the present use of similarity variables. Investigating MATLAB-based computational platforms for solving the provided governing equation problem using the bvp4c solver. The shear stress is precisely measured along with the rates of mass and heat transfer at the boundary using the Sherwood number, the Nusselt number, and the skin-friction coefficients. A table is a useful tool for exact computation using numerical values. We investigate the concrete consequences resulting from many elements in order to do a comprehensive analysis of the dynamics of the issue. Then, using graphic means, the consequences resulting from the situation are emphasized. Comparatively analysing the present results with historical data also helps one to have a more complete knowledge of the memory effects. It is noted that the primary and secondary velocity profiles are diminished for increase in value of Casson fluid parameter, Magnetic field parameter, Deborah number for retardation time. The primary velocity profiles are increasing with rising values of Concentration buoyancy parameter. The secondary velocity profiles are rising with increasing values of Stretching ratio parameter. The temperature distributions are decreasing with rising values of Prandtl number. For increasing the value of Brownian motion parameter, the concentration profiles are declined, and the opposite behaviour is noted in the case of temperature profiles. Both temperature and concentration profiles are increasing with increasing values of Thermophoresis parameter. The deliberation of non-Newtonian Casson-Oldroyd-B fluid with nanofluid particles with Cattaneo-Christov has been analyzed; the active influence of double diffusion (Soret and Dufour) features also part of study. Further, the stretched sheet and Multiple slips are used to modify the study as novelty. This study has significance in theoretical fluid mechanics with cutting-edge applications in nanotechnology, biomedicine, and energy systems. Its findings could lead to optimized industrial processes, improved thermal management, and innovative biomedical solutions. </p>