- Home
- Best Scientists - Mathematics
- Abdon Atangana

Mathematics

South Africa

2023

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

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

- 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.

- 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)

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.

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

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

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.

- 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)

- 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.

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

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Federal University of Technology Akure

National Technological Institute of Mexico

Çankaya University

Shiraz University of Technology

Prince Sultan University

Kermanshah University of Medical Sciences

National Institute of Technology Rourkela

Anand International College of Engineering, Jaipur

Fırat University

University of South Africa

National Taiwan University

University College Cork

Silicon Creations Inc.

University of Delaware

University of Montpellier

Technical University of Denmark

University of Minnesota

University of Toronto

University of Zurich

University of Neuchâtel

National Institutes of Health

University of Verona

Yale University

Northwestern University

University of Insubria

University of Cambridge

Something went wrong. Please try again later.