Local and Global Existence and Uniqueness of Solution for Time-Fractional Fuzzy Navier–Stokes Equations

Navier–Stokes (NS) equation, in fluid mechanics, is a partial differential equation that describes the flow of incompressible fluids. We study fractional derivative by using mild solution. In this work, anomaly diffusion fractal media simulated equations (NSEs) with time-fractional derivatives order β∈(0,1). Hγ,℘, we prove existence and uniqueness local global solutions fuzzy techniques. Meanwhile, provide moderate solution Banach space. further show classical to such exist are regular