In the final chapter, we investigate the monotonicity method for fractional semilinear elliptic equations with power-type nonlinearities. We prove that if-and-only-if monotonicity relations between coefficients and derivatives of the Dirichlet-to-Neumann map hold. Based on the strong monotonicity relations, we study a constructive global uniqueness for coefficients and inclusion detection for the fractional Calderón-type inverse problem. Meanwhile, we can also derive the Lipschitz stability with finitely many measurements.