Hongling Lu

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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)
*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)
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)
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)
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)
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)
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)
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)