Comparative investigation of fractional bioconvection and magnetohydrodynamic flow induced by hybrid nanofluids through a channel

The functional effects of medications, such as those that slow down and calm the body, have been investigated for polarized diffusion coefficient based on subsequent increase through magnetism. This study examines generalized Mittag–Lefer kernel-based fractional derivatives in MHD Brinkman-type fluids under bioconvection contain hybrid titanium dioxide (TiO 2 ) silver (Ag) nanoparticles with water (H O) sodium alginate (NaC 6 H 7 O base fluids. Atangana–Baleanu (AB) Caputo–Fabrizio (CF) derivatives, which are two contemporary definitions fractional-order a memory effect, were used to explore modified model utilizing Laplace transformation certain numerical algorithms. impacts restrictions various graphically displayed. We observed volumetric fraction improvement controls fluid velocity by slowing it down. water-based nanofluid has greater influence temperature momentum fields than alginate-based due physical characteristics explored Additionally, effect causes higher substantial value AB-fractional derivative profile CF-fractional derivative.