D-Index & Metrics Best Publications

D-Index & Metrics

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 62 Citations 14,806 312 World Ranking 219 National Ranking 1

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)

1160 Citations

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

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

522 Citations

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

Abdon Atangana.
Applied Mathematics and Computation (2016)

368 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)

325 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)

323 Citations

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

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

274 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)

272 Citations

New properties of conformable derivative

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

237 Citations

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

Abdon Atangana;Badr Saad T. Alkahtani.
Entropy (2015)

211 Citations

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

Abdon Atangana;José Francisco Gómez‐Aguilar.
Chaos Solitons & Fractals (2018)

210 Citations

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

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