This study investigates the rotational flow behavior and thermal transport characteristics of a chemically reactive viscous fluid subjected to a uniform magnetic field, with potential applications in advanced energy and thermal management systems. A fractional modeling framework based on the constant proportional Caputo derivative is employed to capture nonlocal and memory-dependent diffusion effects in the transport processes. The fluid flows over an infinite vertical plate undergoing arbitrary motion with Newtonian heating conditions, while the ambient temperature and concentration are maintained at $T_{\infty }$ and $C_{\infty }$ , respectively. Through suitable similarity transformations, the governing momentum, energy, and concentration equations are converted into a dimensionless form and solved analytically to obtain closed-form expressions for the velocity, temperature, and concentration fields. The influence of key dimensionless parameters is examined in detail. The results indicate that an increase in the fractional order parameter enhances the momentum and thermal boundary layers, producing approximately 15– $25\%$ enhancement in the velocity distribution, 10– $20\%$ increase in the temperature field, and about 12– $18\%$ growth in the concentration profile near the plate. Furthermore, the magnetic interaction parameter suppresses the velocity field due to the presence of the Lorentz force, whereas the chemical reaction parameter significantly modifies the concentration boundary layer thickness. These results highlight the effectiveness of fractional calculus in accurately describing memory-dependent transport phenomena and demonstrate the important role of governing dimensionless parameters in optimizing the performance of modern thermal systems.
