Comparative fractional analysis of Maxwell fluid flow with thermal source, chemical reaction, and second-order slip effects

This research article provides a comparative investigation of incompressible and unsteady fractionalized Maxwell fluid system for the analysis of heat and mass transfer coefficients. Prominent non-integer differential operators like Caputo, Caputo Fabrizio and Atangana Baleanu are utilized for comparison. The impact of these fractional parameters is presented along with the second-order slip effect within the complex and generalized boundary conditions. Theoretical aspects of second order slip effects are explored and results express the importance of incorporating the slip effect into the simulation of Maxwell fluid. This study thoroughly examines velocity profiles, temperature, concentration and shear stress by exploring the impact of different physical parameters like magnetic field strength and porosity. The hybrid analytical approach is utilized to solve the governing equations, whereas Stehfest's method is used for inverse Laplace transformation. Fractional derivative captures the memory effects and provide better capability to predict the fluid behavior. The results provide a deeper understanding of fluid flow and present innovative engineering application perspectives.