in this paper, we study a coupled system of nonlinear fractional differential equations with multi-point boundary condi- tions. the differential operator is taken in the riemann-liouville sense. applying the schauder fixed-point theorem and the contrac- tion mapping principle, two existence results are obtained for the following system d^{alpha}_{0+}x(t)=fleft(t,y(t),d^{p}_{0+}y(t)right), t in (0,...

For q odd, it was shown in [3] that the elliptic quadric Q−(7, q) possesses a unique 1-system, the so-called classical 1-system. Here, the same result will be obtained for even q. 1 Basic properties of 1-systems of Q−(7, q) A 1-system M of the elliptic quadric Q−(7, q) is a set {L0, L1, . . . , Lq4} of q4+1 lines of Q−(7, q) with the property that every plane of Q−(7, q) containing a line Li of...

Terahertz functional devices with high-Q factor play an important role in spectral sensing, security imaging, and wireless communication. The reported terahertz based on the electromagnetic induction transparency (EIT) effect cannot meet needs of practical applications due to low-Q factor. Therefore, increase Q-factor resonance, researchers introduced concept bound state continuum (BIC). In qua...

In this paper, we study a coupled system of nonlinear fractional differential equations with multi-point boundary condi- tions. The differential operator is taken in the Riemann-Liouville sense. Applying the Schauder fixed-point theorem and the contrac- tion mapping principle, two existence results are obtained for the following system D^{alpha}_{0+}x(t)=fleft(t,y(t),D^{p}_{0+}y(t)right), t in (0,...