D-Index & Metrics Best Publications
Research.com 2023 Rising Star of Science Award Badge
Mathematics
South Africa
2023

D-Index & Metrics 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.

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 66 Citations 16,695 353 World Ranking 253 National Ranking 1
Rising Stars D-index 67 Citations 16,890 358 World Ranking 52 National Ranking 1

Research.com Recognitions

Awards & Achievements

2023 - Research.com Rising Star of Science Award

2023 - Research.com Mathematics in South Africa Leader Award

2022 - Research.com Rising Star of Science Award

2022 - Research.com Mathematics in South Africa Leader Award

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Differential equation

Abdon Atangana focuses on Fractional calculus, Applied mathematics, Mathematical analysis, Derivative and Nonlinear system. His Fractional calculus research is multidisciplinary, relying on both Order, Fixed-point theorem, Exponential function, Function and Kernel. His Fixed-point theorem study incorporates themes from Iterative method and Mathematical optimization.

His Applied mathematics research includes elements of Uniqueness, Laplace transform, Differential and Kernel. His Derivative research is multidisciplinary, incorporating perspectives in Finite difference method, Stability, Order, Algebra and Singular kernel. Abdon Atangana has included themes like Simple, Linear multistep method, Freedman and Differential equation in his Nonlinear system study.

His most cited work include:

  • New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model (1190 citations)
  • Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order (424 citations)
  • On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation (286 citations)

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

The scientist’s investigation covers issues in Applied mathematics, Fractional calculus, Mathematical analysis, Nonlinear system and Derivative. His Applied mathematics study combines topics in areas such as Partial differential equation, Uniqueness, Function, Fractal and Numerical analysis. His studies in Fractional calculus integrate themes in fields like Laplace transform, Order, Chaotic, Variable and Calculus.

When carried out as part of a general Mathematical analysis research project, his work on Decomposition method is frequently linked to work in Groundwater flow equation, therefore connecting diverse disciplines of study. His work carried out in the field of Nonlinear system brings together such families of science as Kernel and Differential equation. The Derivative study combines topics in areas such as Order and Stability.

He most often published in these fields:

  • Applied mathematics (63.98%)
  • Fractional calculus (43.55%)
  • Mathematical analysis (29.84%)

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

  • Applied mathematics (63.98%)
  • Fractal (21.51%)
  • Fractional calculus (43.55%)

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

Abdon Atangana mainly focuses on Applied mathematics, Fractal, Fractional calculus, Nonlinear system and Laplace transform. His studies in Applied mathematics integrate themes in fields like Scheme, Derivative, Partial differential equation, Ordinary differential equation and Numerical analysis. His research investigates the link between Derivative and topics such as Uniqueness that cross with problems in Pure mathematics.

His Fractal study is concerned with the field of Mathematical analysis as a whole. His Fractional calculus study combines topics from a wide range of disciplines, such as Reaction–diffusion system, Lagrange polynomial and Variable. The Nonlinear system study which covers Kernel that intersects with Method of undetermined coefficients.

Between 2019 and 2021, his most popular works were:

  • Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative (241 citations)
  • Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative (241 citations)
  • Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination? (145 citations)

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

  • Mathematical analysis
  • Quantum mechanics
  • Differential equation

His main research concerns Applied mathematics, Fractal, Mathematical analysis, Fractional calculus and Differential operator. His Applied mathematics study integrates concerns from other disciplines, such as Scheme, Differential, Stability, Ordinary differential equation and Numerical analysis. Abdon Atangana interconnects Equilibrium point, Exponential decay, Attractor and Kernel in the investigation of issues within Fractal.

The study incorporates disciplines such as Basis, Memristor and Relaxation in addition to Mathematical analysis. In the subject of general Fractional calculus, his work in Fractional model is often linked to Coronavirus, thereby combining diverse domains of study. Abdon Atangana combines subjects such as Derivative, Uniqueness and Differential equation with his study of Differential operator.

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

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

Abdon Atangana;Dumitru Baleanu.
Thermal Science (2016)

2312 Citations

Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order

Abdon Atangana;Ilknur Koca.
Chaos Solitons & Fractals (2016)

674 Citations

Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative

Muhammad Altaf Khan;Abdon Atangana;Abdon Atangana.
alexandria engineering journal (2020)

486 Citations

On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation

Abdon Atangana.
Applied Mathematics and Computation (2016)

392 Citations

Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena

Abdon Atangana;J. F. Gómez-Aguilar.
European Physical Journal Plus (2018)

385 Citations

New properties of conformable derivative

Abdon Atangana;Dumitru Baleanu;Ahmed Alsaedi.
Open Mathematics (2015)

384 Citations

A fractional epidemiological model for computer viruses pertaining to a new fractional derivative

Jagdev Singh;Devendra Kumar;Zakia Hammouch;Abdon Atangana.
Applied Mathematics and Computation (2018)

382 Citations

Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system

Abdon Atangana.
Chaos Solitons & Fractals (2017)

315 Citations

Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties

Abdon Atangana.
Physica A-statistical Mechanics and Its Applications (2018)

298 Citations

Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination?

Abdon Atangana;Abdon Atangana.
Chaos Solitons & Fractals (2020)

295 Citations

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