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- Xinguang Zhang

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
31
Citations
3,404
107
World Ranking
2629
National Ranking
130

- Mathematical analysis
- Nonlinear system
- Real number

Xinguang Zhang focuses on Mathematical analysis, Fractional calculus, Fixed-point theorem, Nonlinear system and Fractional differential. His Mathematical analysis research focuses on Uniqueness, Order, p-Laplacian, Critical point and Advection dispersion equation. The various areas that Xinguang Zhang examines in his p-Laplacian study include Singularity, Partial differential equation and Ordinary differential equation.

In his study, Integral equation, Schauder fixed point theorem, Class, Riemann–Stieltjes integral and Integer is inextricably linked to Boundary value problem, which falls within the broad field of Fractional calculus. As part of the same scientific family, he usually focuses on Nonlinear system, concentrating on Sign and intersecting with Differential equation, Singular perturbation, Lebesgue integration, Mathematical physics and Zero. His Fractional differential research is multidisciplinary, relying on both Pure mathematics, Derivative, Extended real number line and Real number.

- Multiple positive solutions of a singular fractional differential equation with negatively perturbed term (147 citations)
- The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium (113 citations)
- The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium (113 citations)

His primary areas of investigation include Mathematical analysis, Nonlinear system, Boundary value problem, Applied mathematics and Fixed-point theorem. His study in Fractional calculus, Partial differential equation, Differential equation, Ordinary differential equation and Fractional differential is carried out as part of his studies in Mathematical analysis. His Nonlinear system research is multidisciplinary, incorporating elements of Hadamard transform, Schrödinger's cat, Singular solution, Singularity and Class.

His biological study spans a wide range of topics, including Sign and Order. His research on Applied mathematics also deals with topics like

- Uniqueness together with Monotonic function, Sequence, Monotone polygon and Iterative method,
- Rate of convergence, which have a strong connection to Exact solutions in general relativity. He studied Fixed-point theorem and Fourth order that intersect with Pure mathematics.

- Mathematical analysis (102.08%)
- Nonlinear system (49.31%)
- Boundary value problem (43.75%)

- Applied mathematics (47.22%)
- Nonlinear system (49.31%)
- Mathematical analysis (102.08%)

Xinguang Zhang mainly investigates Applied mathematics, Nonlinear system, Mathematical analysis, Focus and Singularity. In the field of Applied mathematics, his study on Fractional differential overlaps with subjects such as Term. He focuses mostly in the field of Fractional differential, narrowing it down to topics relating to Scheme and, in certain cases, Iterative method.

Xinguang Zhang interconnects Hadamard transform and Geophysics in the investigation of issues within Nonlinear system. His work on Partial differential equation, Ordinary differential equation and Nonlocal boundary is typically connected to Turbulence and Porous medium as part of general Mathematical analysis study, connecting several disciplines of science. His studies in Partial differential equation integrate themes in fields like Fractional calculus, p-Laplacian, Fixed-point theorem and Asymptotic analysis.

- The convergence analysis and error estimation for unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity (53 citations)
- The convergence analysis and error estimation for unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity (53 citations)
- The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach (48 citations)

- Mathematical analysis
- Partial differential equation
- Nonlinear system

The scientist’s investigation covers issues in Applied mathematics, Nonlinear system, Schrödinger's cat, Partial differential equation and Singularity. His research integrates issues of Successive iteration and Schrödinger equation in his study of Applied mathematics. The study of Nonlinear system is intertwined with the study of Geophysics in a number of ways.

His Schrödinger's cat research incorporates themes from Class, Elliptic curve, Renormalization and Existence theorem. His Partial differential equation study results in a more complete grasp of Mathematical analysis. His Singularity research includes themes of Fixed-point theorem, Fractional calculus and Asymptotic analysis.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

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

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

Mathematical and Computer Modelling **(2012)**

183 Citations

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.

Applied Mathematics Letters **(2014)**

145 Citations

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

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

Applied Mathematics and Computation **(2012)**

137 Citations

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

Ying Wang;Lishan Liu;Xinguang Zhang;Yonghong Wu.

Applied Mathematics and Computation **(2015)**

121 Citations

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.

Applied Mathematics and Computation **(2014)**

117 Citations

The iterative solutions of nonlinear fractional differential equations

Xinguang Zhang;Lishan Liu;Yonghong Wu;Yinan Lu.

Applied Mathematics and Computation **(2013)**

115 Citations

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.

Applied Mathematics Letters **(2017)**

111 Citations

Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations

Xinguang Zhang;Yuefeng Han.

Applied Mathematics Letters **(2012)**

105 Citations

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

Xinguang Zhang;Lishan Liu;Yonghong Wu.

Communications in Nonlinear Science and Numerical Simulation **(2013)**

104 Citations

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

Xinguang Zhang;Lishan Liu;Yonghong Wu.

Applied Mathematics and Computation **(2012)**

103 Citations

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