H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 57 Citations 7,963 208 World Ranking 319 National Ranking 4

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

His scientific interests lie mostly in Fractional calculus, Mathematical analysis, Fractal, Fractional dynamics and Applied mathematics. His study in Fractional calculus is interdisciplinary in nature, drawing from both Dynamical systems theory, Limit, Generalization, Equations of motion and Integer. His studies in Mathematical analysis integrate themes in fields like Hamiltonian, Phase space, Nonlinear system and Fractional quantum mechanics.

His Fractal research includes elements of Space, Internal energy and Statistical physics. His work focuses on many connections between Fractional dynamics and other disciplines, such as Ordinary differential equation, that overlap with his field of interest in Partial differential equation, Operator and Zero. His work on Fractional differential as part of general Applied mathematics study is frequently connected to Fundamental theorem of calculus, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.

His most cited work include:

  • Fractional vector calculus and fractional Maxwell’s equations (210 citations)
  • Fractional Ginzburg–Landau equation for fractal media (178 citations)
  • Continuous medium model for fractal media (167 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of study are Fractional calculus, Mathematical analysis, Applied mathematics, Generalization and Fractal. He does research in Fractional calculus, focusing on Fractional dynamics specifically. His research on Mathematical analysis also deals with topics like

  • Equations of motion and related Fractional equations,
  • Dissipative system that intertwine with fields like Classical mechanics.

His Fractional differential study in the realm of Applied mathematics interacts with subjects such as Power law. His biological study spans a wide range of topics, including Function, Variational principle and Order. Vasily E. Tarasov has included themes like Statistical physics, Vector calculus, Distribution and Maxwell's equations in his Fractal study.

He most often published in these fields:

  • Fractional calculus (50.14%)
  • Mathematical analysis (39.72%)
  • Applied mathematics (23.38%)

What were the highlights of his more recent work (between 2016-2021)?

  • Fractional calculus (50.14%)
  • Applied mathematics (23.38%)
  • Generalization (21.13%)

In recent papers he was focusing on the following fields of study:

His main research concerns Fractional calculus, Applied mathematics, Generalization, Fractional dynamics and Nonlinear system. His study on Fractional calculus is covered under Mathematical analysis. His study in the fields of Fractional differential under the domain of Applied mathematics overlaps with other disciplines such as Growth model.

The Generalization study combines topics in areas such as Function, Economic interpretation and Constant. His studies deal with areas such as Economic model, Mathematical physics, Quantum dynamics, Open quantum system and Quantum harmonic oscillator as well as Fractional dynamics. Quantum is closely connected to Statistical physics in his research, which is encompassed under the umbrella topic of Open quantum system.

Between 2016 and 2021, his most popular works were:

  • No nonlocality. No fractional derivative (96 citations)
  • Logistic map with memory from economic model (58 citations)
  • Concept of dynamic memory in economics (49 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

Vasily E. Tarasov mostly deals with Fractional calculus, Applied mathematics, Generalization, Differential equation and Fractional dynamics. His Fractional calculus study introduces a deeper knowledge of Mathematical analysis. Vasily E. Tarasov combines subjects such as Elasticity and Displacement with his study of Mathematical analysis.

His Fractional differential study in the realm of Applied mathematics connects with subjects such as Logistic function. He works mostly in the field of Differential equation, limiting it down to topics relating to Nonlinear system and, in certain cases, State and Order. His Fractional dynamics research is multidisciplinary, relying on both Simple, Quantum algorithm and Keynesian Revolution.

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.

Best Publications

Fractional vector calculus and fractional Maxwell’s equations

Vasily E. Tarasov.
Annals of Physics (2008)

278 Citations

Fractional hydrodynamic equations for fractal media

Vasily E. Tarasov.
Annals of Physics (2005)

229 Citations

No violation of the Leibniz rule. No fractional derivative

Vasily E. Tarasov.
Communications in Nonlinear Science and Numerical Simulation (2013)

213 Citations

Continuous medium model for fractal media

Vasily E. Tarasov.
Physics Letters A (2005)

199 Citations

Fractional Ginzburg–Landau equation for fractal media

Vasily E. Tarasov;George M. Zaslavsky;George M. Zaslavsky.
Physica A-statistical Mechanics and Its Applications (2005)

183 Citations

Fractional dynamics of systems with long-range interaction

Vasily E. Tarasov;Vasily E. Tarasov;George M. Zaslavsky;George M. Zaslavsky.
Communications in Nonlinear Science and Numerical Simulation (2006)

167 Citations

Fractional dynamics of coupled oscillators with long-range interaction.

Vasily E. Tarasov;George M. Zaslavsky.
Chaos (2006)

141 Citations

Continuous limit of discrete systems with long-range interaction

Vasily E Tarasov.
Journal of Physics A (2006)

134 Citations

On chain rule for fractional derivatives

Vasily E. Tarasov.
Communications in Nonlinear Science and Numerical Simulation (2016)

128 Citations

No nonlocality. No fractional derivative

Vasily E. Tarasov.
Communications in Nonlinear Science and Numerical Simulation (2018)

127 Citations

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