Abstract
This paper is concerned with the nonexistence of global solutions to fractional in time nonlinear Schrodinger equations of the form
i(alpha) partial derivative(alpha)(t)omega(t,z)+a(1)(t)Delta omega(t,z)+i(alpha)a(2)(t)omega(t,z)=xi|omega(t,z)|(p),(t,z)is an element of(0,infinity)xR(N), where N >= 1,xi is an element of C\{0} and p > 1, under suitable initial data. To establish our nonexistence theorem, we adopt the Pohozaev nonlinear capacity method, and consider the combined effects of absorption and dispersion terms. Further, we discuss in details some special cases of coefficient functions a(1),a(2) is an element of L-loc(1)([0,infinity), R), and provide two illustrative examples.