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In this article, we consider the following boundary-value problem of nonlinear fractional differential equation with p-Laplacian operator D 0+(φp(D α 0+u(t))) + a(t)f(u) = 0, 0 < t < 1, u(0) = γu(ξ) + λ, φp(D α 0+u(0)) = (φp(D α 0+u(1))) ′ = (φp(D α 0+u(0))) ′′ = 0, where 0 < α 6 1, 2 < β 6 3 are real numbers, Dα 0+, D β 0+ are the standard Caputo… (More)

- Nianwu Li, Mingbo Zheng, +6 authors Yi Shi
- Chemical communications
- 2012

Lithium-sulfur batteries have a poor rate performance and low cycle stability due to the shuttling loss of intermediate lithium polysulfides. To address this issue, a carbon-sulfur nanocomposite coated with reduced graphene oxide was designed to confine the polysulfides.

*Correspondence: sshrong@163.com School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, PR China Abstract In this paper, we study boundary-value problems for the following nonlinear fractional differential equations involving the Caputo fractional derivative: D0+x(t) = f (t, x(t), Dβ0+x(t)), t ∈ [0, 1], x(0) + x′(0) = y(x), ∫ 1 0… (More)

- Zhenlai Han, Hongling Lu, Chao Zhang
- Applied Mathematics and Computation
- 2015

In this paper, we investigate the existence of positive solutions for the eigenvalue problem of nonlinear fractional differential equation with generalized p-Laplacian operator Db0þ ð/ðD a 0þuðtÞÞÞ 1⁄4 kf ðuðtÞÞ; 0 < t < 1; uð0Þ 1⁄4 u0ð0Þ 1⁄4 u0ð1Þ 1⁄4 0; /ðD0þuð0ÞÞ 1⁄4 ð/ðD a 0þuð1ÞÞÞ 0 1⁄4 0; where 2 < a 6 3;1 < b 6 2 are real numbers, D0þ ;D b 0þ are the… (More)

- Pingping Sun, Xueying Zhao, +9 authors Jie Liu
- Nanoscale
- 2016

Lithiated transition metal phosphates with large theoretical capacities have emerged as promising cathode materials for rechargeable lithium-ion batteries. However, the poor kinetic properties caused by their low intrinsic electronic and ionic conductivity greatly hinder their practical applications. In this work, we demonstrate a novel strategy to prepare… (More)

- Anoop R Damodaran, Shishir A. Pandya, +13 authors Lane W Martin
- Nature communications
- 2017

A range of modern applications require large and tunable dielectric, piezoelectric or pyroelectric response of ferroelectrics. Such effects are intimately connected to the nature of polarization and how it responds to externally applied stimuli. Ferroelectric susceptibilities are, in general, strongly temperature dependent, diminishing rapidly as one… (More)

- Yongwen Wang, Mingbo Zheng, Hongling Lu, Shaoqing Feng, Guangbin Ji, Jie-ming Cao
- Nanoscale research letters
- 2010

Carbon nanofibers containing linear mesocage arrays were prepared via evaporation induced self-assembly method within AAO template with an average channel diameter of about 25 nm. The TEM results show that the mesocages have an elongated shape in the transversal direction. The results of N2 adsorption-desorption analysis indicate that the sample possesses a… (More)

- Hongling Lu, Renpeng Chen, +8 authors Jie Liu
- Nanoscale
- 2017

Here we report an effective bottom-up solution-phase process for the preparation of nitrogen-doped porous carbon scaffolds (NPCSs), which can be employed as high-performance anode materials for both lithium-ion batteries (LIBs) and sodium-ion batteries (SIBs). The as-obtained NPCSs show favorable features for electrochemical energy storage such as high… (More)

- Wenjun Hu, Lin Chen, +8 authors Guoxin Shen
- Front. Plant Sci.
- 2016

Ricinus communis displays a broad range of phenotypic diversity in size, with dwarf, common, and large-sized varieties. To better understand the differences in plant productivity between a high-stalk variety and a dwarf variety under normal growth conditions, we carried out a comparative proteomic study between Zhebi 100 (a high stalk variety) and Zhebi 26… (More)

The nature of the interaction between silica gel and [Mo6Clis(S03CF3)86I2-(1) and [Mo6Cli&la612-(2) in organic media is described. Silica gel, which contains a high density of Si-OH groups, strongly adsorbs clusters 1 and 2. Although 1 is adsorbed from CH2C12 and solvents of high dielectric constant, such as CH30H, 2 is adsorbed only from CHzCl2 solution.… (More)