Fractional approximations of abstract semilinear parabolic problems
Fractional approximations of abstract semilinear parabolic problems
In this paper we study the abstract semilinear parabolic problem of the form $ \frac{du}{dt}+Au = f(u), $ as the limit of the corresponding fractional approximations $ \frac{du}{dt} + A^{\alpha}u = f(u), $ in a Banach space $ X $, where the operator $ A:D(A) \subset X \to X $ …