Abdon Atangana

26.2k total citations · 15 hit papers
358 papers, 21.1k citations indexed

About

Abdon Atangana is a scholar working on Modeling and Simulation, Numerical Analysis and Statistical and Nonlinear Physics. According to data from OpenAlex, Abdon Atangana has authored 358 papers receiving a total of 21.1k indexed citations (citations by other indexed papers that have themselves been cited), including 311 papers in Modeling and Simulation, 143 papers in Numerical Analysis and 102 papers in Statistical and Nonlinear Physics. Recurrent topics in Abdon Atangana's work include Fractional Differential Equations Solutions (304 papers), Iterative Methods for Nonlinear Equations (94 papers) and Mathematical and Theoretical Epidemiology and Ecology Models (53 papers). Abdon Atangana is often cited by papers focused on Fractional Differential Equations Solutions (304 papers), Iterative Methods for Nonlinear Equations (94 papers) and Mathematical and Theoretical Epidemiology and Ecology Models (53 papers). Abdon Atangana collaborates with scholars based in South Africa, Taiwan and Türkiye. Abdon Atangana's co-authors include Dumitru Bǎleanu, J. F. Gómez‐Aguilar, İlknur Koca, Muhammad Altaf Khan, Kolade M. Owolabi, Badr Saad T. Alkahtani, Seda İğret Araz, Kashif Ali Abro, Sania Qureshi and Toufik Mekkaoui and has published in prestigious journals such as SHILAP Revista de lepidopterología, PLoS ONE and Scientific Reports.

In The Last Decade

Abdon Atangana

345 papers receiving 20.3k citations

Hit Papers

New fractional derivatives with nonlocal and non-singular... 2015 2026 2018 2022 2016 2016 2017 2020 2017 1000 2.0k 3.0k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model
    2016 3.1k citations Abdon Atangana, Dumitru Bǎleanu SHILAP Revista de lepidopterología profile →
  2. Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order
    2016 752 citations Abdon Atangana et al. profile →
  3. Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system
    2017 646 citations Abdon Atangana profile →
  4. Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative
    2020 589 citations Muhammad Altaf Khan, Abdon Atangana profile →
  5. New numerical approximation of fractional derivative with non-local and non-singular kernel: Application to chaotic models
    2017 466 citations Abdon Atangana et al. The European Physical Journal Plus profile →
  6. On the new fractional derivative and application to nonlinear Fisher’s reaction–diffusion equation
    2015 453 citations Abdon Atangana profile →
  7. A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
    2017 427 citations Abdon Atangana et al. profile →
  8. New properties of conformable derivative
    2015 426 citations Abdon Atangana, Dumitru Bǎleanu et al. profile →
  9. Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination?
    2020 423 citations Abdon Atangana profile →
  10. Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena
    2018 366 citations Abdon Atangana et al. The European Physical Journal Plus profile →
  11. Modeling attractors of chaotic dynamical systems with fractal–fractional operators
    2019 343 citations Abdon Atangana et al. profile →
  12. Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties
    2018 298 citations Abdon Atangana profile →
  13. Fractional derivatives with no-index law property: Application to chaos and statistics
    2018 293 citations Abdon Atangana et al. profile →
  14. Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu
    2017 277 citations Abdon Atangana et al. profile →
  15. New concept in calculus: Piecewise differential and integral operators
    2021 181 citations Abdon Atangana, Seda İğret Araz profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Abdon Atangana South Africa 72 18.0k 6.0k 5.5k 5.3k 5.0k 358 21.1k
J. F. Gómez‐Aguilar Mexico 66 10.0k 0.6× 3.4k 0.6× 2.8k 0.5× 4.6k 0.9× 2.3k 0.5× 463 14.8k
Shaher Momani Jordan 75 13.1k 0.7× 8.1k 1.3× 3.6k 0.7× 5.0k 0.9× 1.1k 0.2× 421 17.8k
Thabet Abdeljawad Saudi Arabia 63 13.4k 0.7× 4.7k 0.8× 9.6k 1.8× 2.7k 0.5× 2.2k 0.4× 827 19.4k
J. A. Tenreiro Machado Portugal 71 11.9k 0.7× 5.1k 0.8× 3.5k 0.6× 5.2k 1.0× 931 0.2× 752 22.5k
Jagdev Singh India 51 6.9k 0.4× 3.3k 0.6× 2.0k 0.4× 2.7k 0.5× 1.3k 0.3× 319 9.2k
Devendra Kumar India 51 7.1k 0.4× 3.5k 0.6× 2.1k 0.4× 2.8k 0.5× 1.3k 0.3× 246 8.5k
Kai Diethelm Germany 29 10.9k 0.6× 5.6k 0.9× 4.8k 0.9× 2.6k 0.5× 1.4k 0.3× 70 13.2k
Mehdi Dehghan Iran 85 15.6k 0.9× 16.1k 2.7× 4.8k 0.9× 6.7k 1.3× 627 0.1× 752 29.7k
Francesco Mainardi Italy 53 12.0k 0.7× 5.3k 0.9× 4.8k 0.9× 3.0k 0.6× 421 0.1× 155 16.3k
Kottakkaran Sooppy Nisar Saudi Arabia 65 8.2k 0.5× 2.5k 0.4× 4.4k 0.8× 2.9k 0.5× 1.9k 0.4× 1.1k 21.9k

Countries citing papers authored by Abdon Atangana

Since Specialization
Citations

This map shows the geographic impact of Abdon Atangana's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Abdon Atangana with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Abdon Atangana more than expected).

Fields of papers citing papers by Abdon Atangana

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Abdon Atangana. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Abdon Atangana. The network helps show where Abdon Atangana may publish in the future.

Co-authorship network of co-authors of Abdon Atangana

This figure shows the co-authorship network connecting the top 25 collaborators of Abdon Atangana. A scholar is included among the top collaborators of Abdon Atangana based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Abdon Atangana. Abdon Atangana is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Atangana, Abdon & Seda İğret Araz. (2025). Theoretical investigation on fractal–fractional nonlinear ordinary differential equations. Nonlinear Analysis Real World Applications. 84. 104296–104296. 3 indexed citations
2.
Atangana, Abdon, et al.. (2023). Analytical and numerical analysis of damped harmonic oscillator model with nonlocal operators. Demonstratio Mathematica. 56(1).
3.
Abro, Kashif Ali, et al.. (2023). Analytical solution for the dynamics and optimization of fractional Klein–Gordon equation: an application to quantum particle. Optical and Quantum Electronics. 55(8). 704–704. 11 indexed citations
4.
Atangana, Abdon, et al.. (2023). Analysis of Cauchy problem with fractal-fractional differential operators. Demonstratio Mathematica. 56(1). 5 indexed citations
5.
Atangana, Abdon, et al.. (2023). Mathematical model for conversion of groundwater flow from confined to unconfined aquifers with power law processes. Open Geosciences. 15(1). 3 indexed citations
6.
Atangana, Abdon & Ali Akgül. (2023). Integral Transforms and Engineering. 1 indexed citations
7.
Abro, Kashif Ali, et al.. (2022). Comparative Analysis of Statistical and Fractional Approaches for Thermal Conductance Through Suspension of Ethylene Glycol Nanofluid. Brazilian Journal of Physics. 52(4). 15 indexed citations
8.
Abro, Kashif Ali, et al.. (2022). Chaotic characteristics of thermal convection at smaller verse larger Prandtl number through fractal and fractional differential operators from nanofluid. International Journal of Modelling and Simulation. 43(1). 11–22. 17 indexed citations
9.
Jhangeer, Adil, et al.. (2021). Analysis of electron acoustic waves interaction in the presence of homogeneous unmagnetized collision-free plasma. Physica Scripta. 96(7). 75603–75603. 17 indexed citations
10.
Riaz, Muhammad Bilal, et al.. (2021). Some exact explicit solutions and conservation laws of Chaffee-Infante equation by Lie symmetry analysis. Physica Scripta. 96(8). 84008–84008. 22 indexed citations
11.
Riaz, Muhammad Bilal, Imran Siddique, Syed Tauseef Saeed, & Abdon Atangana. (2021). MHD Oldroyd-B Fluid with Slip Condition in view of Local and Nonlocal Kernels. SHILAP Revista de lepidopterología. 16 indexed citations
12.
Abro, Kashif Ali & Abdon Atangana. (2020). Numerical Study and Chaotic Analysis of Meminductor and Memcapacitor Through Fractal–Fractional Differential Operator. Arabian Journal for Science and Engineering. 46(2). 857–871. 49 indexed citations
13.
Abro, Kashif Ali, et al.. (2020). Thermal stratification of rotational second-grade fluid through fractional differential operators. Journal of Thermal Analysis and Calorimetry. 143(5). 3667–3676. 73 indexed citations
14.
Abro, Kashif Ali & Abdon Atangana. (2020). A comparative analysis of electromechanical model of piezoelectric actuator through Caputo–Fabrizio and Atangana–Baleanu fractional derivatives. Mathematical Methods in the Applied Sciences. 43(17). 9681–9691. 46 indexed citations
15.
Khan, Muhammad Altaf, Abdon Atangana, Ebraheem Alzahrani, & Fatmawati Fatmawati. (2020). The dynamics of COVID-19 with quarantined and isolation. Advances in Difference Equations. 2020(1). 425–425. 152 indexed citations
16.
Abro, Kashif Ali & Abdon Atangana. (2020). A comparative study of convective fluid motion in rotating cavity via Atangana–Baleanu and Caputo–Fabrizio fractal–fractional differentiations. The European Physical Journal Plus. 135(2). 117 indexed citations
17.
Abro, Kashif Ali & Abdon Atangana. (2020). Mathematical analysis of memristor through fractal‐fractional differential operators: A numerical study. Mathematical Methods in the Applied Sciences. 43(10). 6378–6395. 79 indexed citations
18.
Atangana, Abdon & Dumitru Bǎleanu. (2016). New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model. SHILAP Revista de lepidopterología. 3125 indexed citations breakdown →
19.
Atangana, Abdon & Adem Kılıçman. (2013). A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order. Mathematical Problems in Engineering. 2013. 1–6. 23 indexed citations
20.
Atangana, Abdon & Adem Kılıçman. (2013). The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations. Abstract and Applied Analysis. 2013. 1–12. 34 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by J. F. Gómez‐Aguilar Breakdown of academic impact, for papers by Shaher Momani Breakdown of academic impact, for papers by Thabet Abdeljawad Breakdown of academic impact, for papers by J. A. Tenreiro Machado Breakdown of academic impact, for papers by Jagdev Singh Breakdown of academic impact, for papers by Devendra Kumar Breakdown of academic impact, for papers by Kai Diethelm Breakdown of academic impact, for papers by Mehdi Dehghan Breakdown of academic impact, for papers by Francesco Mainardi Breakdown of academic impact, for papers by Kottakkaran Sooppy Nisar
Rankless by CCL
2026