Computational Analysis Research Group (CAG) is a research group founded by Ton Duc Thang University. Due to the significant role in industry and engineering, it is very important to study the flow behavior of Newtonian, non-Newtonian and nanofluids. Our analysis is focused on the study of MHD flow of Newtonian, non-Newtonian and nanofluids in a porous medium with and without combined effects of heat and mass transfer. The customary models of Newtonian and non-Newtonian fluids via fractional calculus are generalized. We are working on various flow regimes and their solutions, which includes Newtonian, non-Newtonian fluids and nanofluids, via integral transforms and numerical schemes.