Fuli Wang, Yujun Cui, Hua Zhou. Source: Annals of Functional Analysis, Volume 10, Number 3, 395--411.Abstract:
We investigate the solvability for an infinite system of fractional order boundary value problems of differential equations in Banach sequence spaces $\ell _{\infty }$ and $\mathbf{c}$ . Our approach depends on Darbo’s fixed point theorem in conjunction with new measures of noncompactness in spaces $C^{1}(J,\ell _{\infty })$ and $C^{1}(J,\mathbf{c})$ .