World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
52
Citations
8691
World Ranking
979
National Ranking
28

Engineering and Technology

D-Index
51
Citations
7800
World Ranking
3958
National Ranking
214

Overview

Lishan Liu is affiliated with Curtin University in Australia and specializes in the field of mathematics, with a particular focus on applied mathematics. Their extensive body of work encompasses multiple subfields, including applied mathematics, modeling and simulation, computational theory and mathematics, numerical analysis, and mathematical physics.

The scientist's research primarily addresses topics related to nonlinear differential equations analysis, fractional differential equations solutions, nonlinear partial differential equations, differential equations and numerical methods, advanced mathematical physics problems, differential equations and boundary problems, and advanced mathematical modeling in engineering.

Lishan Liu has published numerous papers in various academic venues. Frequent publication forums include:

  • Nonlinear Analysis Modelling and Control
  • Fractal and Fractional
  • Applied Mathematics Letters
  • Advances in Difference Equations
  • Particuology

Among recent papers associated with their research are:

  • Effects of oregano essential oil on in vitro ruminal fermentation, methane production, and ruminal microbial community (2020, Journal of Dairy Science)
  • Enhanced NH3 decomposition for H2 production over bimetallic M(M=Co, Fe, Cu)Ni/Al2O3 (2021, Fuel Processing Technology)
  • Dietary oregano essential oil supplementation alters meat quality, oxidative stability, and fatty acid profiles of beef cattle (2023, Meat Science)
  • A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator (2020, Nonlinear Analysis Modelling and Control)
  • Solubility, dissolution thermodynamics, Hansen solubility parameter and molecular simulation of 4-chlorobenzophenone with different solvents (2022, Journal of Molecular Liquids)

Collaborations form an integral part of their work. Frequent co-authors include:

  • Yonghong Wu (22 joint publications)
  • Xinguang Zhang (6 joint publications)
  • Weiwei Liu (5 joint publications)
  • Yuan Gao (5 joint publications)
  • Jinbo Ouyang (4 joint publications)

Best Publications

  • Ishikawa and Mann Iterative Process with Errors for Nonlinear Strongly Accretive Mappings in Banach Spaces

    Li-Shan Liu

  • Multiple positive solutions of a singular fractional differential equation with negatively perturbed term

    Xinguang Zhang;Lishan Liu;Lishan Liu;Yonghong Wu

  • Positive solutions for a nonlocal fractional differential equation

    Yongqing Wang;Lishan Liu;Lishan Liu;Yonghong Wu

  • Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces

    Lishan Liu;Lishan Liu;Fei Guo;Congxin Wu;Yonghong Wu

  • The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium

    Xinguang Zhang;Xinguang Zhang;Lishan Liu;Yonghong Wu

  • The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives

    Xinguang Zhang;Lishan Liu;Lishan Liu;Yonghong Wu

  • Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection

    Ying Wang;Lishan Liu;Xinguang Zhang;Yonghong Wu

  • The eigenvalue for a class of singular p-laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition

    Xinguang Zhang;Xinguang Zhang;Lishan Liu;Benchawan Wiwatanapataphee;Yonghong Wu

  • Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion

    Xinguang Zhang;Xinguang Zhang;Lishan Liu;Lishan Liu;Yong Hong Wu;Yong Hong Wu;Benchawan Wiwatanapataphee

  • Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and p -Laplacian operator

    Xinan Hao;Huaqing Wang;Lishan Liu;Lishan Liu;Yujun Cui

  • The iterative solutions of nonlinear fractional differential equations

    Xinguang Zhang;Lishan Liu;Yonghong Wu;Yinan Lu

  • Local and global existence of mild solutions for a class of nonlinear fractional reaction–diffusion equations with delay

    Bo Zhu;Bo Zhu;Lishan Liu;Lishan Liu;Yonghong Wu

  • The uniqueness of positive solution for a singular fractional differential system involving derivatives

    Xinguang Zhang;Lishan Liu;Yonghong Wu

  • Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives

    Xinguang Zhang;Lishan Liu;Yonghong Wu

  • The convergence analysis and error estimation for unique solution of a p -Laplacian fractional differential equation with singular decreasing nonlinearity

    Jing Wu;Xinguang Zhang;Xinguang Zhang;Lishan Liu;Lishan Liu;Yonghong Wu

  • The spectral analysis for a singular fractional differential equation with a signed measure

    Xinguang Zhang;Lishan Liu;Yonghong Wu;B. Wiwatanapataphee

  • Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess

    Xinguang Zhang;Xinguang Zhang;Cuiling Mao;Lishan Liu;Lishan Liu;Yonghong Wu

  • Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions

    Mingyue Zuo;Xinan Hao;Lishan Liu;Lishan Liu;Yujun Cui

  • Positive solutions to singular fractional differential system with coupled boundary conditions

    Jiqiang Jiang;Lishan Liu;Yonghong Wu

  • The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach

    Xinguang Zhang;Xinguang Zhang;Lishan Liu;Lishan Liu;Yonghong Wu;Yonghong Wu;Yujun Cui

  • Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions

    Limin Guo;Lishan Liu;Yonghong Wu

Frequent Co-Authors

Yonghong Wu
Yonghong Wu Curtin University
Xinguang Zhang
Xinguang Zhang Yantai University
Yeol Je Cho
Yeol Je Cho Gyeongsang National University
Yihong Du
Yihong Du University of New England
Ravi P. Agarwal
Ravi P. Agarwal Florida Institute of Technology
Lokenath Debnath
Lokenath Debnath The University of Texas Rio Grande Valley

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