One
of the fundamental properties of natural systems is their water
transport ability, and living systems have efficient moisture management
features. Here, a unique structure, inspired by the water transfer
behavior in trees, was designed for one-dimensional (1D) fiber assemblies.
In this 1D fiber assembly structure, a differential capillary effect
enabling rapid water transfer at the interface between traditional
cotton fibers and electrospun nanofibers was explored. A tree-like
structure yarn was constructed successfully by novel electrospinning
technology, and the effect was quantitatively controlled by precisely
regulating the fibers’ wettability. Fabrics based on these
tree-like core-spun yarns possessed advanced moisture-wicking performance,
a high one-way transport index (R) of 1034.5%, and
a desirable overall moisture management capability of 0.88, which
are over two times higher than those of conventional fabrics. This
moisture-wicking regime endowed these 1D fiber assemblies with unique
water transfer channels, providing a new strategy for moisture-heat
transmission, microfluidics, and biosensor applications.
In this paper we consider the generalized impulsive system with Riemann-Liouville fractional-order q 2 .1; 2/ and obtained the error of the approximate solution for this impulsive system by analyzing of the limit case (as impulses approach zero), as well as find the formula for a general solution. Furthermore, an example is given to illustrate the importance of our results.
This paper is concerned with stochastic differential equations of fractional-order q ∈ (m -1, m) (where m ∈ Z and m ≥ 2) with finite delay at a space BC ([-τ , 0]; R d ). Some sufficient conditions are obtained for the existence and uniqueness of solutions for these stochastic fractional differential systems by applying the Picard iterations method and the generalized Gronwall inequality.
Motivated by some preliminary works about general solution of impulsive system with fractional derivative, the generalized impulsive differential equations with Caputo-Hadamard fractional derivative ofq∈C (R(q)∈(1,2)) are further studied by analyzing the limit case (as impulses approach zero) in this paper. The formulas of general solution are found for the impulsive systems.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.