What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (102.08%)
- Nonlinear system (49.31%)
- Boundary value problem (43.75%)
What were the highlights of his more recent work (between 2017-2021)?
- Applied mathematics (47.22%)
- Nonlinear system (49.31%)
- Mathematical analysis (102.08%)
In recent papers he was focusing on the following fields of study:
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.
Between 2017 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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