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| 1 | SOME PROBLEMS OF FRACTIONAL PARTIAL DIFFERENCE DIFFUSION EQUATIONS显示文摘This paper mainly discusses the problems of fractional variational problems and fractional diffusion problems using fractional difference and summation.Through the Euler finite difference method we get a variational formulation of the variation problem and the discrete solution to the time-fractional and space-fractional difference equation using separating variables method and two-side Z-transform method. | Jinfa Cheng | 2014 | Annals of Differential Equations2014,30,1: | 2 |
| 2 | A multi-step induced strategy to fabricate core-shell Pt-Ni alloy as symmetric electrocatalysts for overall water splitting显示文摘Devising an electrocatalyst with brilliant efficiency and satisfactory durability for hydrogen production is of considerable demand,especially for large-scale application.Herein,we adopt a multi-step consequential induced strategy to construct a bifunctional electrocatalyst for the overall water splitting.Graphene oxide(GO)was used as a carbon matrix and in situ oxygen source,which was supported by the octahedral PtNi alloy to form the PtxNiy-GO precursor.When calcinating in Ar atmosphere,the oxygen in GO induced the surface segregation of Ni from the PtNi octahedron to form a core-shell structure of Ptx@Niy.Then,the surface-enriched Ni continuously induced the reformation of C in reduced graphene oxide(rGO)to enhance the degree of graphitization.This multi-step induction formed a nanocatalyst Pt_(x)@Ni_(y)-rGO which has very high catalytic efficiency and stability.By optimizing the feeding ratio of PtNi(Pt:Ni=1:2),the electrolytic overall water splitting at 10 mA·cm^(-2) can be driven by an electrolytic voltage of as low as 1.485 V,and hydrogen evolution reaction(HER)only needs an overpotential of 37 mV in 1.0 M KOH aqueous solution.Additionally,the catalyst exhibited consistent existence form in both HER and oxygen evolution reaction(OER),which was verified by switching the anode and cathode of the cell in the electrolysis of water.This work provides a new idea for the synthesis and evaluation of the bifunctional catalysts for water splitting. | Wenjuan Xu Jinfa Chang Yinggang Cheng Hongqi Liu Jifan Li Yongjian Ai Zenan Hu Xinyue Zhang Yiming Wang Qionglin Liang Yang Yang Hongbin Sun | 2022 | Nano Research2022,15,2: | 1 |
| 3 | Oscillation Criteria for Second Order Neutral Functional Differential Equations显示文摘 | Cheng Jinfa Zhang Annie | 2002 | Acta Math Sinica2002,45,6: | 1 |
| 4 | On the oscillation of high order mixed neutral equations显示文摘 | Cheng jinfa | 2001 | J Sys Sci Math Scis2001,21,3: | 1 |
| 5 | Oscillation Criteria for mth Order Neutral Functional Difference Equations显示文摘 | Cheng jinfa Annie Zhang | 2002 | Acta Math Sinica (in chinese)2002,45,6: | 1 |
| 6 | Oscillation criteria for the order neutral functional difference equations显示文摘 | Cheng Jinfa Zhang Annie | 2002 | Acta Math Sinica (in chinese)2002,45,6: | 1 |
| 7 | Existence of a nonoscillatory solution of a second-order linear neutral difference equation显示文摘 | Cheng Jinfa | | 0,,: | 1 |
| 8 | A rare variant in COL11A1 is strongly associated with adult height in Chinese Han population显示文摘Human height is a highly heritable trait in which multiple genes are involved. Recent genome-wide association studies(GWASs) have identified that COL11A1 is an important susceptibility gene for human height. To determine whether the variants of COL11A1 are associated with adult and children height,we analyzed splicing and coding single-nucleotide variants across COL11A1 through exome-targeted sequencing and two validation stages with a total 20,426 Chinese Han samples. A total of 105 variants were identified by exome-targeted sequencing, of which 30 SNPs were located in coding region. The strongest association signal was chr1_103380393 with P value of 4.8 * 10^(-7). Chr1_103380393 also showed nominal significance in the validation stage(P = 1.21 * 10^(-6)). Combined analysis of 16,738 samples strengthened the original association of chr1_103380393 with adult height(P_(combined)= 3.1 * 10^(-8)), with an increased height of 0.292sd(standard deviation) per G allele(95% CI:0.19-0.40). There was no evidence(P = 0.843) showing that chr1_103380393 altered child height in 3688 child samples. Only the group of 12-15 years showed slight significance with P value of 0.0258.This study firstly shows that genetic variants of COL11A1 contribute to adult height in Chinese Han population but not to children height, which expand our knowledge of the genetic factors underlying height variation and the biological regulation of human height. | Changbing Shen Xiaodong Zheng Jing Gao Caihong Zhu Randy Ko Xianfa Tang Chao Yang Jinfa Dou Yan Lin Yuyan Cheng Lu Liu Shuangjun Xu Gang Chen Xianbo Zuo Xianyong Yin Liangdan Sun Yong Cui Sen Yang Xuejun Zhang Fusheng Zhou | 2016 | Journal of Genetics and Genomics2016,43,9: | 1 |
| 9 | On Multivariate Fractional Taylor’s and Cauchy’Mean Value Theorem显示文摘In this paper,a generalized multivariate fractional Taylor’s and Cauchy’s mean value theorem of the kind f(x,y)=n∑j=0 Djαf(x0,y0)/Γ(jα+1)+R_(n)^(α)(ξ,η),f(x,y)−n∑j=0 Djαf(x0,y0)Γ(jα+1)/g(x,y)−n∑j=0 Djαg(x0,y0)/Γ(jα+1)=Rαn(ξ,η)/Tnα(ξ,η),where 0<α≤1,is established.Such expression is precisely the classical Taylor’s and Cauchy’s mean value theorem in the particular caseα=1.In addition,detailed expres-sions for R_(n)^(α)(ξ,η)and T_(n)^(α)(ξ,η)involving the sequential Caputo fractional derivative are also given. | Jinfa Cheng | 2019 | Journal of Mathematical Study2019,52,1: | 0 |