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- Xiao-Jun Yang

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
55
Citations
8,866
227
World Ranking
589
National Ranking
27

- 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.

- 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)

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.

- Mathematical analysis (56.87%)
- Fractional calculus (49.29%)
- Applied mathematics (27.96%)

- Mathematical analysis (56.87%)
- Applied mathematics (27.96%)
- Fractional calculus (49.29%)

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.

- 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)

- 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.

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.

Local Fractional Integral Transforms and Their Applications

Xiao Jun Yang;Dumitru Baleanu;H. M. Srivastava.

**(2015)**

407 Citations

Local Fractional Integral Transforms and Their Applications

Xiao Jun Yang;Dumitru Baleanu;H. M. Srivastava.

**(2015)**

407 Citations

Fractal heat conduction problem solved by local fractional variation iteration method

Xiao-Jun Yang;Dumitru Baleanu.

Thermal Science **(2013)**

319 Citations

Fractal heat conduction problem solved by local fractional variation iteration method

Xiao-Jun Yang;Dumitru Baleanu.

Thermal Science **(2013)**

319 Citations

A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL Application to the Modelling of the Steady Heat Flow

Xiao-Jun Yang;Hari M. Srivastava;J. A. Tenreiro Machado.

Thermal Science **(2016)**

262 Citations

A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL Application to the Modelling of the Steady Heat Flow

Xiao-Jun Yang;Hari M. Srivastava;J. A. Tenreiro Machado.

Thermal Science **(2016)**

262 Citations

Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations

Xiao-Jun Yang;Feng Gao;H.M. Srivastava;H.M. Srivastava.

Computers & Mathematics With Applications **(2017)**

237 Citations

Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations

Xiao-Jun Yang;Feng Gao;H.M. Srivastava;H.M. Srivastava.

Computers & Mathematics With Applications **(2017)**

237 Citations

A new fractional operator of variable order: Application in the description of anomalous diffusion

Xiao-Jun Yang;J.A. Tenreiro Machado.

Physica A-statistical Mechanics and Its Applications **(2017)**

221 Citations

A new fractional operator of variable order: Application in the description of anomalous diffusion

Xiao-Jun Yang;J.A. Tenreiro Machado.

Physica A-statistical Mechanics and Its Applications **(2017)**

221 Citations

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