S-asymptotically ω-periodic solution for fractional differential equations of order q ∈ ( 0 , 1 ) $q\in(0, 1)$ with finite delay
Fang Li, Jin Hao Liang, Huiwen Wang · Advances in Difference Equations · 2017
In this paper, we investigate the existence and uniqueness of S-asymptotically ω-periodic solutions to fractional differential equations of order $q\in(0, 1)$ with finite delay in a Banach space X. Existence and uniqueness theorems, which are new even in the case of $X=\mathbf{R}^{n}$ or $A=0$ , are established. As examples of applications of our existence and uniqueness results, we obtain the S-asymptotically ω-periodic solutions for the fractional-order autonomous neural networks with delay.