The meniscus is an important part of the knee joint that helps with lubrication and shock absorption. Its porous structure and the flow of fluid through its pores are crucial for its functionality. Usually, poroelasticity is used to study this behavior, which assumes Darcian flow. However, in reality, the fluid undergoes anomalous diffusion, which is non-Darcian. To study this behavior in the meniscus, fractional Darcy's law for poroelasticity is explored. Confined consolidation creep experiments conducted on the meniscus tissue were used to obtain its material properties, and the model was validated using stress relaxation tests and weight loss during consolidation. Results show that the fractional Darcy's law works better than the traditional one. Experimental data from different regions and orientations were used to study the anisotropic and inhomogeneous nature of the meniscus. The meniscus can be treated as a transversely isotropic poroelastic material, and its permeability is higher in the circumferential direction compared to the radial and vertical directions. A 3D fractional poroelastic model was implemented in 'Abaqus' software. The simulations studied quantities such as the flux of interstitial fluid during the consolidation process.