What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Partial differential equation
- Algebra
Xiao-Jun Yang mainly investigates Mathematical analysis, Fractional calculus, Fractal, Applied mathematics and Laplace transform.
His Fractional calculus research incorporates themes from Type, Partial differential equation, Differential equation, Transformation and Thermal conduction.
His Partial differential equation study deals with Integral transform intersecting with Fourier transform and Equation solving.
His work on Fractal derivative as part of general Fractal research is frequently linked to Similarity solution, bridging the gap between disciplines.
His studies link Heat equation with Applied mathematics.
In Laplace transform, Xiao-Jun Yang works on issues like Singular kernel, which are connected to Sinc function, Singular solution, Poisson kernel and Heat kernel.
His most cited work include:
- Fractal heat conduction problem solved by local fractional variation iteration method (208 citations)
- A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL Application to the Modelling of the Steady Heat Flow (161 citations)
- A new fractional operator of variable order: Application in the description of anomalous diffusion (160 citations)
What are the main themes of his work throughout his whole career to date?
His primary scientific interests are in Mathematical analysis, Fractional calculus, Applied mathematics, Fractal and Laplace transform.
In most of his Mathematical analysis studies, his work intersects topics such as Variational iteration method.
He combines subjects such as Partial differential equation, Type, Singular kernel, Differential equation and Calculus with his study of Fractional calculus.
His studies in Applied mathematics integrate themes in fields like Function, Integral transform, Kernel and Order.
When carried out as part of a general Fractal research project, his work on Fractal derivative is frequently linked to work in Diffusion equation, therefore connecting diverse disciplines of study.
His biological study spans a wide range of topics, including Inverse Laplace transform and Two-sided Laplace transform.
He most often published in these fields:
- Mathematical analysis (56.87%)
- Fractional calculus (49.29%)
- Applied mathematics (27.96%)
What were the highlights of his more recent work (between 2019-2021)?
- Mathematical analysis (56.87%)
- Applied mathematics (27.96%)
- Fractional calculus (49.29%)
In recent papers he was focusing on the following fields of study:
Mathematical analysis, Applied mathematics, Fractional calculus, One-dimensional space and Conservation law are his primary areas of study.
His Mathematical analysis research incorporates elements of Korteweg–de Vries equation, Thermal conduction and Monotone polygon.
His Applied mathematics research includes themes of Order, Constant coefficients, Exponential function, Extension and Point.
His Order research focuses on Structure and how it relates to Fractal.
The various areas that Xiao-Jun Yang examines in his Fractional calculus study include Special functions, Operator and Laplace transform.
His Conservation law study integrates concerns from other disciplines, such as Fractional diffusion, Type, Order and Integer.
Between 2019 and 2021, his most popular works were:
- On the generalized time fractional diffusion equation: Symmetry analysis, conservation laws, optimal system and exact solutions (21 citations)
- Analytical solutions of some integral fractional differential-difference equations (15 citations)
- On group analysis of the time fractional extended (2+1)-dimensional Zakharov–Kuznetsov equation in quantum magneto-plasmas (14 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Partial differential equation
Xiao-Jun Yang focuses on One-dimensional space, Mathematical physics, Conservation law, Mathematical analysis and Nonlinear diffusion equation.
His work is dedicated to discovering how One-dimensional space, Invariant are connected with Traveling wave and Algebraic number and other disciplines.
His Mathematical analysis research is multidisciplinary, incorporating elements of Nonlinear phenomena and Waves and shallow water.
Integer is frequently linked to Applied mathematics in his study.
Xiao-Jun Yang merges One-parameter group with Fractional calculus in his research.
His research on Fractional calculus often connects related topics like Work.
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