Fareeha Rana2025-11-272025-11-272021-02https://escholar.umt.edu.pk/handle/123456789/13185The present study deals with slip effects on viscous fluid containing nanoparticles. The control partial differential equations of nanofluids are modeled by applying Caputo, Caputo-Fabrizio and ABC fractional derivatives. The solution of energy and momentum equation is balanced in the form of a series. By using Laplace we have obtained the exact solution of the fractional control derivative fluid concentration, temperature, velocity field. We took the results by solving the numerical calculation and illustrate the result in the graphical form. For various suitable physical parameters, such as α, η fields are presented graphically.enThesis