Abstract. This work investigate an anisotropic cosmological model in the framework of f(R,T) gravity by considering the functional form f(R,T) = νR + νT within a Bianchi type-IX spacetime. To describe the dynamical evolution of the universe, a fractional linear varying deceleration parameter (FLVDP) of the form q = (1 - αt)/(1 + βt) is employed, which effectively captures the transition from an early decelerating phase to the currently observed accelerating phase of the universe. Exact solutions of the modified field equations are obtained, and the behavior of key cosmological parameters such as the Hubble parameter, scale factor, shear scalar, and expansion scalar is analyzed to understand the dynamical features of the model. The results indicate that the universe evolves from an initially anisotropic state toward isotropy as cosmic time progresses. Furthermore, the evolution of physical parameters such as energy density, pressure, and the cosmological constant is examined to explore the role of dark energy in driving the accelerated expansion. The graphical analysis supports the consistency of the model with the expanding universe scenario and shows that the cosmological constant tends toward a very small positive value at late times. These findings contribute to a better understanding of anisotropic cosmological dynamics in modified gravity and provide a useful framework for studying the large-scale evolution of the universe.

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