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Newtonian and non-Newtonian fluids; Magnetohydrodynamic (MHD); Darcy–Brinkman porous medium; Oil/MWCNT nanofluid; molecular diameter; MHD; thermodynamics; laminar flow; stretched surface; classical and fractional order problems; nanoparticles; smart pumping for hemodialysis; suction/injection; magnetohydrodynamic (MHD); laminar g-Jitter flow; nonlinear thermal radiation; steady and unsteady flow problems; nanofuid; SWCNTs; nanoparticle; slip conditions; Jeffrey fluid; kernel gradient free; Jefferey; heat transfer; microchannel; magnetic field; inclined stretching sheet; fractional order differential equations; oscillating shear stress; symmetric linear equations; Maxwell and Oldroyd-B fluids; solitary waves; nanofluids and particle shape effects; FDE-12 numerical method; generalized finite difference scheme; Lagrangian approach; thin elastic plate; homogeneous–heterogeneous reactions; Marangoni convection; peristalsis; arched surface; SWCNT/MWCNT nanofluid; uniform current; nonlinear hydroelastic waves; homogeneous-heterogeneous reactions; unsteady rotating flow; viscous dissipation effect; heat source/sink; Numerical technique; particle swarm optimization; CNTs (MWCNTs and SWCNTs); convective heat and mass transfer; slip coefficient; multiphase flow simulations; thin needle; HAM; slip; nanofluid; aqueous suspensions of CNT’s; stagnation point flow; compressible viscous flow; Casson fluid; temperature dependent thermal conductivity; viscous fluid; forced convection; Caputo–Fabrizio time-fractional derivative; tapered channel; couple stress fluid; porous dissipation; APCM technique; mixed convection; PLK method; Laplace and Fourier transformations; analytical technique; chemical reaction; homogeneous/heterogeneous reactions; isotherms; artificial neural networks; stretchable rotating disk; activation energy; rotating rigid disk; Casson fluid model; MWCNTs; Al2O3 nanoparticles; microducts; convective boundary condition; Permeable walls; rotating system; Couette–Poiseuille flow; velocity slip; porous medium; stability analysis; Cattaneo–Christov heat flux; Magnetohydrodynamics (MHD); Cattaneo–Christov heat flux model; streamlines; side walls; integer and non-integer order derivatives; physiological fluid phenomena in biological systems; nanofluids; Carreau fluid; GO-W/GO-EG nanofluids; nonlinear stretching cylinder; heat generation; dual solution; RK scheme; OHAM; convective heat boundary condition; Nusselt number; exponential sheet; viscous dissipation; Keller-box method; finite volume method; peristaltic transport; steady laminar flow; numerical solution; shooting method; Knudsen number; cylinder; Newtonian heating; Darcy Forchheimer model; permeable sheet; stretching sheet; thermal radiation; Hafnium particles