A mixed nonlinear time-fractional Rayleigh-Stokes equation
A mixed nonlinear time-fractional Rayleigh-Stokes equation
This paper investigates a nonlinear time-fractional Rayleigh-Stokes equation with mixed nonlinearity containing a power-type function, a logarithmic function and an inverse time-forcing term. Applying Lagrange's mean value theorem and the compactness of the Sobolev embeddings, we estimate the complex Lipschitz property of mixed nonlinearity. We investigate the local well-posed results …