The College of Science in the Department of Mathematics discussed a seminar entitled Parametric analysis of Nano–fluid flow problems for postgraduate student Haider A. Namoos. This seminar addresses three analytical hybridizations proposed and developed to solve various nonlinear equations associated with nanofluid and hybrid flow problems. The first hybridization (I) is based on combining the q-homology analysis method (q-HAM) with the Laplace transform (LT) supported by the convolution theory (CT) and denoted by (LTC-q-HAM). The second hybridization (II), which involves combining the Elzaki transform (ET) with q-HAM and the convolution theory, where the symbol is (ETC-q-HAM). These hybridizations were applied to Magnetohydrodynamics (MHD) Jeffrey Hamel nanofluid flow and Casson nanofluid of squeezing flow in a porous medium between two parallel plates to find optimal approximate analytical solutions.