ON THE TIME-DELAYED FRACTIONAL MOBILE-IMMOBILE EQUATIONS: REGULARITY AND LARGE-TIME BEHAVIOR
We consider the Cauchy problem driven by nonlinear fractional mobile-immobile equations (Fr-MIMEs) involving time-varying delays in Hilbert spaces. Based on fixed-point arguments, smoothness of the resolvent operators, and local estimates, we show global solvability and regularity results for both linear and semilinear...