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A nonlocal fractional model of Brinkman type fluid (BTF) containing a hybrid nanostructure wasexamined. The magnetohydrodynamic (MHD) flow of the hybrid nanofluid was studied using the fractionalcalculus approach. Hybridized silver (Ag) and Titanium dioxide (TiO2) nanoparticles were dissolved in basefluid water (H2O) to form a hybrid nanofluid. The MHD free convection flow of the nanofluid (Ag-TiO2-H2O) was considered in a microchannel (flow with a bounded domain). The BTF model was generalized usinga nonlocal Caputo-Fabrizio fractional operator (CFFO) without a singular kernel of order α with effectivethermophysical properties. The governing equations of the model were subjected to physical initial andboundary conditions. The exact solutions for the nonlocal fractional model without a singular kernel weredeveloped via the fractional Laplace transform technique. The fractional solutions were reduced to localsolutions by limiting α →1. To understand the rheological behavior of the fluid, the obtained solutions werenumerically computed and plotted on various graphs. Finally, the influence of pertinent parameters wasphysically studied. It was found that the solutions were general, reliable, realistic and fixable. For thefractional parameter, the velocity and temperature profiles showed a decreasing trend for a constant time. Bysetting the values of the fractional parameter, excellent agreement between the theoretical and experimentalresults could be attained.

Symmetric MHD Channel Flow of Nonlocal Fractional Model of BTF Containing Hybrid Nanoparticles