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Mathematics
South Africa
2026

D-Index & Metrics

Mathematics

D-Index
81
Citations
26940
World Ranking
137
National Ranking
1

Research.com Recognitions

  • 2026 - Research.com Mathematics in South Africa Leader Award
  • 2025 - Research.com Mathematics in South Africa Leader Award
  • 2022 - Research.com Mathematics in South Africa Leader Award

Overview

Abdon Atangana is affiliated with the University of the Free State in South Africa. Their research primarily focuses on Mathematics, with extensive work in Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics, Applied Mathematics, and Public Health, Environmental and Occupational Health.

The scientist has contributed significantly to topics including Fractional Differential Equations Solutions, Iterative Methods for Nonlinear Equations, Mathematical and Theoretical Epidemiology and Ecology Models, COVID-19 epidemiological studies, Differential Equations and Numerical Methods, Nonlinear Differential Equations Analysis, and Nonlinear Waves and Solitons.

Among the notable recent papers authored or co-authored by Atangana are:

  • Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative, 2020, Alexandria Engineering Journal
  • Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination?, 2020, Chaos Solitons & Fractals
  • Analysis of fractal fractional differential equations, 2020, Alexandria Engineering Journal
  • Modeling and forecasting of epidemic spreading: The case of Covid-19 and beyond, 2020, Chaos Solitons & Fractals
  • New concept in calculus: Piecewise differential and integral operators, 2021, Chaos Solitons & Fractals

Frequent co-authors of Atangana include:

  • Seda İğret Araz
  • Kashif Ali Abro
  • Muhammad Bilal Riaz
  • İlknur Koca
  • J. F. Gómez-Aguilar

The scientist often publishes in several recurring venues such as Alexandria Engineering Journal, AIMS Mathematics, Chaos Solitons & Fractals, Advances in Difference Equations, and Results in Physics.

Atangana has also contributed to academic literature through books published by Springer Nature, including "Fractional Stochastic Differential Equations" (2022) and "Fractional Differential and Integral Operators with Respect to a Function" (2025).

Best Publications

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

    Abdon Atangana;Dumitru Baleanu

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

    Abdon Atangana;Ilknur Koca

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

    Abdon Atangana

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

    Muhammad Altaf Khan;Abdon Atangana;Abdon Atangana

  • New properties of conformable derivative

    Abdon Atangana;Dumitru Baleanu;Ahmed Alsaedi

  • New numerical approximation of fractional derivative with non-local and non-singular kernel: Application to chaotic models

    Mekkaoui Toufik;Abdon Atangana

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

    Abdon Atangana

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

    Jagdev Singh;Devendra Kumar;Zakia Hammouch;Abdon Atangana

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

    Abdon Atangana;Abdon Atangana

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

    Abdon Atangana;J. F. Gómez-Aguilar

  • Modeling attractors of chaotic dynamical systems with fractal–fractional operators

    Abdon Atangana;Sania Qureshi

  • Fractional derivatives with no-index law property: Application to chaos and statistics

    Abdon Atangana;José Francisco Gómez‐Aguilar

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

    Abdon Atangana

  • Numerical approximation of Riemann-Liouville definition of fractional derivative: From Riemann-Liouville to Atangana-Baleanu

    Abdon Atangana;J. F. Gómez-Aguilar

  • Analysis of time-fractional hunter-saxton equation: a model of neumatic liquid crystal

    Abdon Atangana;Dumitru Baleanu;Ahmed Alsaedi

  • New numerical approach for fractional differential equations

    Abdon Atangana;Kolade M. Owolabi

  • Caputo-Fabrizio Derivative Applied to Groundwater Flow within Confined Aquifer

    Abdon Atangana;Dumitru Baleanu

  • A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions

    Abdon Atangana;Aydin Secer

  • Analysis of the Keller-Segel Model with a Fractional Derivative without Singular Kernel

    Abdon Atangana;Badr Saad T. Alkahtani

  • Analysis of fractal fractional differential equations

    Abdon Atangana;Ali Akgül;Kolade M. Owolabi

  • Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel

    Abdon Atangana;Juan Jose Nieto;Juan Jose Nieto

Frequent Co-Authors

Kolade M. Owolabi
Kolade M. Owolabi Federal University of Technology Akure
José Francisco Gómez-Aguilar
José Francisco Gómez-Aguilar National Technological Institute of Mexico
Dumitru Baleanu
Dumitru Baleanu Lebanese American University
Adem Kilicman
Adem Kilicman Universiti Teknologi MARA
Mohammad Hossein Heydari
Mohammad Hossein Heydari Shiraz University of Technology
Ali Akgül
Ali Akgül Siirt University
Zakia Hammouch
Zakia Hammouch Universite Moulay Ismail De Meknes
Thabet Abdeljawad
Thabet Abdeljawad Prince Sultan University
Behzad Ghanbari
Behzad Ghanbari Kermanshah University of Medical Sciences
Stefano Boccaletti
Stefano Boccaletti Institute for Complex Systems

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