H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 108 Citations 52,195 1,518 World Ranking 6 National Ranking 1


What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

His main research concerns Fractional calculus, Mathematical analysis, Applied mathematics, Ordinary differential equation and Nonlinear system. His biological study spans a wide range of topics, including Laplace transform, Derivative, Uniqueness and Differential equation. His Mathematical analysis study frequently draws connections to adjacent fields such as Type.

Dumitru Baleanu focuses mostly in the field of Applied mathematics, narrowing it down to topics relating to Convergence and, in certain cases, Homotopy. Dumitru Baleanu has researched Ordinary differential equation in several fields, including Partial differential equation and Pure mathematics. The Numerical partial differential equations study combines topics in areas such as Differential algebraic equation and Laplace transform applied to differential equations.

His most cited work include:

  • New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model (1190 citations)
  • Fractional Calculus: Models and Numerical Methods (850 citations)
  • A new collection of real world applications of fractional calculus in science and engineering (429 citations)

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

Dumitru Baleanu mainly focuses on Fractional calculus, Mathematical analysis, Applied mathematics, Nonlinear system and Partial differential equation. He studies Fractional calculus, namely Fractional differential. Differential equation, Boundary value problem, Numerical partial differential equations, Fractal and Collocation method are among the areas of Mathematical analysis where Dumitru Baleanu concentrates his study.

His Applied mathematics study incorporates themes from Laplace transform, Convergence, Derivative, Numerical analysis and Order. Nonlinear system connects with themes related to Work in his study. His research is interdisciplinary, bridging the disciplines of Ordinary differential equation and Partial differential equation.

He most often published in these fields:

  • Fractional calculus (39.23%)
  • Mathematical analysis (39.95%)
  • Applied mathematics (33.98%)

What were the highlights of his more recent work (between 2019-2021)?

  • Applied mathematics (33.98%)
  • Nonlinear system (18.09%)
  • Fractional calculus (39.23%)

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

His primary areas of investigation include Applied mathematics, Nonlinear system, Fractional calculus, Partial differential equation and Mathematical analysis. His Applied mathematics study integrates concerns from other disciplines, such as Laplace transform, Convergence, Derivative, Stability and Order. Dumitru Baleanu has researched Nonlinear system in several fields, including Nanofluid and Work.

His Fractional calculus study deals with Type intersecting with Pure mathematics. His Partial differential equation research includes themes of Heat transfer, Boundary value problem and Ordinary differential equation, Differential equation. His Mathematical analysis study focuses on Bilinear form in particular.

Between 2019 and 2021, his most popular works were:

  • A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative (169 citations)
  • On the analysis of vibration equation involving a fractional derivative with Mittag‐Leffler law (109 citations)
  • A new fractional HRSV model and its optimal control: A non-singular operator approach (71 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Nonlinear system

His primary scientific interests are in Applied mathematics, Fractional calculus, Nonlinear system, Mathematical analysis and Partial differential equation. His studies in Applied mathematics integrate themes in fields like Optimal control, Convergence, Derivative, Numerical analysis and Order. His work focuses on many connections between Fractional calculus and other disciplines, such as Differential equation, that overlap with his field of interest in Class.

As part of the same scientific family, Dumitru Baleanu usually focuses on Nonlinear system, concentrating on Work and intersecting with Power. He interconnects Mechanics, Heat transfer and Ordinary differential equation in the investigation of issues within Partial differential equation. His study looks at the intersection of Ordinary differential equation and topics like Pure mathematics with Convex function.

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.

Top Publications

Fractional Calculus: Models and Numerical Methods

Dumitru Baleanu;Kai Diethelm;Enrico Scalas;Juan J Trujillo.

1906 Citations

New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model

Abdon Atangana;Dumitru Baleanu.
Thermal Science (2016)

1160 Citations

Fractional Dynamics and Control

Dumitru Baleanu;Jos Antnio Tenreiro Machado;Albert C. J. Luo.
Fractional Dynamics and Control (2011)

558 Citations

New Trends in Nanotechnology and Fractional Calculus Applications

Dumitru Baleanu;Ziya B. Guvenc;J. A. Tenreiro Machado.

516 Citations

Anomalous diffusion expressed through fractional order differential operators in the Bloch–Torrey equation

Richard L. Magin;Osama Abdullah;Dumitru Baleanu;Xiaohong Joe Zhou.
Journal of Magnetic Resonance (2008)

358 Citations

Local Fractional Integral Transforms and Their Applications

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

330 Citations

A new collection of real world applications of fractional calculus in science and engineering

HongGuang Sun;Yong Zhang;Dumitru Baleanu;Dumitru Baleanu;Wen Chen.
Communications in Nonlinear Science and Numerical Simulation (2018)

319 Citations

A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems

Om P. Agrawal;Dumitru Baleanu.
Journal of Vibration and Control (2007)

282 Citations

Discrete fractional logistic map and its chaos

Guo-Cheng Wu;Dumitru Baleanu;Dumitru Baleanu.
Nonlinear Dynamics (2014)

282 Citations

Fractal heat conduction problem solved by local fractional variation iteration method

Xiao-Jun Yang;Dumitru Baleanu.
Thermal Science (2013)

279 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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