Works matching AU Atangana, Abdon

Results: 162

Modeling Oil Production and Heat Distribution during Hot Water-Flooding in an Oil Reservoir.

Published in:

Fluid Dynamics & Materials Processing, 2025, v. 21, n. 5, p. 1239, doi. 10.32604/fdmp.2025.059925

By:

Nwaigwe, Chinedu;
Atangana, Abdon

Publication type:

Article

Fractional derivatives, dimensions, and geometric interpretation: An answer to your worries.

Published in:

AIMS Mathematics, 2025, v. 10, n. 2, p. 1, doi. 10.3934/math.2025119

By:

Atangana, Abdon

Publication type:

Article

Numerical solution of ABC space–time fractional distributed order reaction–diffusion equation.

Published in:

Numerical Methods for Partial Differential Equations, 2022, v. 38, n. 3, p. 406, doi. 10.1002/num.22635

By:

Kumar, Sachin;
Atangana, Abdon

Publication type:

Article

Numerical and mathematical analysis of induction motor by means of AB–fractal–fractional differentiation actuated by drilling system.

Published in:

Numerical Methods for Partial Differential Equations, 2022, v. 38, n. 3, p. 293, doi. 10.1002/num.22618

By:

Abro, Kashif Ali;
Atangana, Abdon

Publication type:

Article

Dual fractional modeling of rate type fluid through non‐local differentiation.

Published in:

Numerical Methods for Partial Differential Equations, 2022, v. 38, n. 3, p. 390, doi. 10.1002/num.22633

By:

Abro, Kashif Ali;
Atangana, Abdon

Publication type:

Article

New two step Laplace Adam‐Bashforth method for integer a noninteger order partial differential equations.

Published in:

Numerical Methods for Partial Differential Equations, 2018, v. 34, n. 5, p. 1739, doi. 10.1002/num.22216

By:

Gnitchogna, Rodrigue;
Atangana, Abdon

Publication type:

Article

Error estimates of a semidiscrete finite element method for fractional stochastic diffusion‐wave equations.

Published in:

Numerical Methods for Partial Differential Equations, 2018, v. 34, n. 5, p. 1834, doi. 10.1002/num.22252

By:

Zou, Guang‐an;
Atangana, Abdon;
Zhou, Yong

Publication type:

Article

Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu.

Published in:

Numerical Methods for Partial Differential Equations, 2018, v. 34, n. 5, p. 1502, doi. 10.1002/num.22195

By:

Atangana, Abdon;
Gómez‐aguilar, J. F.

Publication type:

Article

More generalized groundwater model with space-time caputo Fabrizio fractional differentiation.

Published in:

Numerical Methods for Partial Differential Equations, 2017, v. 33, n. 5, p. 1616, doi. 10.1002/num.22156

By:

Djida, Jean ‐ Daniel;
Atangana, Abdon

Publication type:

Article

Evaluating the effects of pH and temperature on sulphate-reducing bacteria and modelling of their effects in stirred bioreactors.

Published in:

Environmental Pollutants & Bioavailability, 2023, v. 35, n. 1, p. 453, doi. 10.1080/26395940.2023.2257388

By:

Moloantoa, Karabelo;
Khetsha, Zenzile;
Mochane, Mokgaotsa;
Unuofin, John;
Atangana, Abdon;
Cason, Errol;
van Heerden, Esta;
Castillo, Julio

Publication type:

Article

Models of fluid flowing in non-conventional media: New numerical analysis.

Published in:

Discrete & Continuous Dynamical Systems - Series S, 2020, v. 13, n. 3, p. 467, doi. 10.3934/dcdss.2020026

By:

Atangana, Abdon;
Jain, Sonal

Publication type:

Article

Preface on "New trends of numerical and analytical methods".

Published in:

Discrete & Continuous Dynamical Systems - Series S, 2020, v. 13, n. 3, p. ⅰ, doi. 10.3934/dcdss.20203i

By:

Atangana, Abdon;
Gómez-Aguilar, José Francisco;
Hristov, Jordan Y.

Publication type:

Article

Dynamics of traveling waves of variable order hyperbolic Liouville equation: Regulation and control.

Published in:

Discrete & Continuous Dynamical Systems - Series S, 2020, v. 13, n. 3, p. 645, doi. 10.3934/dcdss.2020035

By:

Goufo, Emile Franc Doungmo;
Atangana, Abdon

Publication type:

Article

Augmented upwind numerical schemes for a fractional advection-dispersion equation in fractured groundwater systems.

Published in:

Discrete & Continuous Dynamical Systems - Series S, 2020, v. 13, n. 3, p. 443, doi. 10.3934/dcdss.2020025

By:

Allwright, Amy;
Atangana, Abdon

Publication type:

Article

HIGH-ORDER SOLVERS FOR SPACE-FRACTIONAL DIFFERENTIAL EQUATIONS WITH RIESZ DERIVATIVE.

Published in:

Discrete & Continuous Dynamical Systems - Series S, 2019, v. 12, n. 3, p. 567, doi. 10.3934/dcdss.2019037

By:

Owolabi, Kolade M.;
Atangana, Abdon

Publication type:

Article

PREFACE: NEW TRENDS ON NUMERICAL ANALYSIS AND ANALYTICAL METHODS WITH THEIR APPLICATIONS TO REAL WORLD PROBLEMS.

Published in:

Discrete & Continuous Dynamical Systems - Series S, 2019, v. 12, n. 3, p. i, doi. 10.3934/dcdss.201903i

By:

Atangana, Abdon;
Hammouch, Zakia;
Owolabi, Kolade M.;
Mephou, Gisele

Publication type:

Article

COUETTE FLOWS OF A VISCOUS FLUID WITH SLIP EFFECTS AND NON-INTEGER ORDER DERIVATIVE WITHOUT SINGULAR KERNEL.

Published in:

Discrete & Continuous Dynamical Systems - Series S, 2019, v. 12, n. 3, p. 645, doi. 10.3934/dcdss.2019041

By:

Riaz, Muhammad Bilal;
Asif, Naseer Ahmad;
Atangana, Abdon;
Asjad, Muhammad Imran

Publication type:

Article

GENERALISED CLASS OF TIME FRACTIONAL BLACK SCHOLES EQUATION AND NUMERICAL ANALYSIS.

Published in:

Discrete & Continuous Dynamical Systems - Series S, 2019, v. 12, n. 3, p. 435, doi. 10.3934/dcdss.2019028

By:

Batogna, Rodrigue Gnitchogna;
Atangana, Abdon

Publication type:

Article

Analysis of nonlinear ordinary differential equations with the generalized Mittag-Leffler kernel.

Published in:

Mathematical Biosciences & Engineering, 2023, v. 20, n. 11, p. 19763, doi. 10.3934/mbe.2023875

By:

Atangana, Abdon;
Mishra, Jyoti

Publication type:

Article

Mathematical analysis and numerical simulation for fractal-fractional cancer model.

Published in:

Mathematical Biosciences & Engineering, 2023, v. 20, n. 10, p. 18083, doi. 10.3934/mbe.2023803

By:

Laksaci, Noura;
Boudaoui, Ahmed;
Al-Mekhlafi, Seham Mahyoub;
Atangana, Abdon

Publication type:

Article

Analytical and numerical investigation of the Hindmarsh-Rose model neuronal activity.

Published in:

Mathematical Biosciences & Engineering, 2023, v. 20, n. 1, p. 1434, doi. 10.3934/mbe.2023065

By:

Atangana, Abdon;
Koca, Ilknur

Publication type:

Article

Piecewise derivatives versus short memory concept: analysis and application.

Published in:

Mathematical Biosciences & Engineering, 2022, v. 19, n. 8, p. 8601, doi. 10.3934/mbe.2022399

By:

ATANGANA, Abdon;
İĞRET ARAZ, Seda

Publication type:

Article

Deterministic-Stochastic modeling: A new direction in modeling real world problems with crossover effect.

Published in:

Mathematical Biosciences & Engineering, 2022, v. 19, n. 4, p. 3526

By:

ATANGANA, Abdon;
ARAZ, Seda İǦRET

Publication type:

Article

Rhythmic behaviors of the human heart with piecewise derivative.

Published in:

Mathematical Biosciences & Engineering, 2022, v. 19, n. 3, p. 3091, doi. 10.3934/mbe.2022143

By:

Atangana, Abdon;
ARAZ, Seda İĞRET

Publication type:

Article

New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points.

Published in:

Mathematical Biosciences & Engineering, 2021, v. 18, n. 6, p. 8683, doi. 10.3934/mbe.2021430

By:

Panda, Sumati Kumari;
Atangana, Abdon;
Nieto, Juan J.

Publication type:

Article

New approach to groundwater recharge on a regional scale: uncertainty analysis and application of fractional differentiation.

Published in:

Arabian Journal of Geosciences, 2019, v. 12, n. 16, p. N.PAG, doi. 10.1007/s12517-019-4672-x

By:

Spannenberg, Jescica;
Atangana, Abdon;
Vermeulen, Paul Danie

Publication type:

Article

On the Nonlinear Perturbation K(n,m) Rosenau-Hyman Equation: A Model of Nonlinear Scattering Wave.

Published in:

Advances in Mathematical Physics, 2015, p. 1, doi. 10.1155/2015/746327

By:

Atangana, Abdon;
Baleanu, Dumitru;
Al Qurashi, Maysaa’ Mohamed;
Yang, Xiao-Jun

Publication type:

Article

A novel model for the lassa hemorrhagic fever: deathly disease for pregnant women.

Published in:

Neural Computing & Applications, 2015, v. 26, n. 8, p. 1895, doi. 10.1007/s00521-015-1860-9

By:

Atangana, Abdon

Publication type:

Article

Convergence and stability analysis of a novel iteration method for fractional biological population equation.

Published in:

Neural Computing & Applications, 2014, v. 25, n. 5, p. 1021, doi. 10.1007/s00521-014-1586-0

By:

Atangana, Abdon

Publication type:

Article

Analytical solution for the dynamics and optimization of fractional Klein–Gordon equation: an application to quantum particle.

Published in:

Optical & Quantum Electronics, 2023, v. 55, n. 8, p. 1, doi. 10.1007/s11082-023-04919-1

By:

Abro, Kashif Ali;
Siyal, Ambreen;
Atangana, Abdon;
Al-Mdallal, Qasem M.

Publication type:

Article

Reply to the comment on the paper "Role of bi-order Atangana–Aguilar fractional differentiation on Drude model: an analytic study for distinct sources, Kashif Ali Abro, Abdon Atangana, José Francisco Gomez-Aguilar, Optical and Quantum Electronics (2021) 53:177"

Published in:

2022

By:

Abro, Kashif Ali;
Atangana, Abdon;
Gomez‑Aguilar, José Francisco

Publication type:

Correction Notice

Role of bi-order Atangana–Aguilar fractional differentiation on Drude model: an analytic study for distinct sources.

Published in:

Optical & Quantum Electronics, 2021, v. 53, n. 4, p. 1, doi. 10.1007/s11082-021-02804-3

By:

Abro, Kashif Ali;
Atangana, Abdon;
Gomez-Aguilar, José Francisco

Publication type:

Article

On the mathematical analysis of Ebola hemorrhagic fever: deathly infection disease in West African countries.

Published in:

2014

By:

Atangana, Abdon;
Goufo, Emile Franc Doungmo

Publication type:

journal article

Modelling the Aggregation Process of Cellular Slime Mold by the Chemical Attraction.

Published in:

BioMed Research International, 2014, v. 2014, p. 1, doi. 10.1155/2014/815690

By:

Atangana, Abdon;
Vermeulen, P. D.

Publication type:

Article

Computational Analysis of the Model Describing HIV Infection of CD4<sup>+</sup>T Cells.

Published in:

BioMed Research International, 2014, v. 2014, p. 1, doi. 10.1155/2014/618404

By:

Atangana, Abdon;
Doungmo Goufo, Emile Franc

Publication type:

Article

Model of Break-Bone Fever via Beta-Derivatives.

Published in:

BioMed Research International, 2014, v. 2014, p. 1, doi. 10.1155/2014/523159

By:

Atangana, Abdon;
Oukouomi Noutchie, Suares Clovis

Publication type:

Article

Modelling the Formation of Liver Zones within the Scope of Fractional Order Derivative.

Published in:

BioMed Research International, 2014, v. 2014, p. 1, doi. 10.1155/2014/478028

By:

Atangana, Abdon;
Noutchie, Suares Clovis Oukouomi

Publication type:

Article

Witte's conditions for uniqueness of solutions to a class of Fractal-Fractional ordinary differential equations.

Published in:

International Journal of Optimization & Control: Theories & Applications, 2024, v. 14, n. 4, p. 322, doi. 10.11121/ijocta.1639

By:

Atangana, Abdon;
Koca, Ilknur

Publication type:

Article

Theoretical and numerical analysis of a chaotic model with nonlocal and stochastic differential operators.

Published in:

International Journal of Optimization & Control: Theories & Applications, 2023, v. 13, n. 2, p. 181, doi. 10.11121/ijocta.2023.1398

By:

Koca, Ilknur;
Atangana, Abdon

Publication type:

Article

Preface.

Published in:

International Journal of Optimization & Control: Theories & Applications, 2017, v. 7, n. 3, p. 5, doi. 10.11121/ijocta.01.2017.00581

By:

Atangana, Abdon;
Bulut, Hasan;
Hammouch, Zakia;
Baskonus, Haci Mehmet

Publication type:

Article

A new model of groundwater flow within an unconfined aquifer: Application of Caputo-Fabrizio fractional derivative.

Published in:

Discrete & Continuous Dynamical Systems - Series B, 2019, v. 24, n. 7, p. 3227, doi. 10.3934/dcdsb.2018317

By:

Feulefack, Pierre Aime;
Djida, Jean Daniel;
Abdon, Atangana

Publication type:

Article

Mathematical modeling of neuron model through fractal-fractional differentiation based on maxwell electromagnetic induction: application to neurodynamics.

Published in:

Neural Computing & Applications, 2024, v. 36, n. 29, p. 18377, doi. 10.1007/s00521-024-10047-y

By:

Abro, Kashif Ali;
Atangana, Abdon

Publication type:

Article

Computational analysis of a class of singular nonlinear fractional multi-order heat conduction model of the human head.

Published in:

Scientific Reports, 2024, v. 14, n. 1, p. 1, doi. 10.1038/s41598-024-53822-6

By:

Izadi, Mohammad;
Atangana, Abdon

Publication type:

Article

DETERMINATION OF THE STABILITY OF OSMIUM(VI) HEXACHLORIDE ICP-OES STANDARDS IN HCl ACID MATRIX.

Published in:

Bulletin of the Chemical Society of Ethiopia, 2020, v. 34, n. 1, p. 193, doi. 10.4314/bcse.v34i1.18

By:

Chiweshe, Trevor T.;
Atangana, Abdon;
Deysel, Lore-Mari

Publication type:

Article

Supernonlinear wave, associated analytical solitons, and sensitivity analysis in a two-component Maxwellian plasma.

Published in:

Journal of King Saud University - Science, 2022, v. 34, n. 5, p. N.PAG, doi. 10.1016/j.jksus.2022.102108

By:

Riaz, Muhammad Bilal;
Jhangeer, Adil;
Atangana, Abdon;
Awrejcewicz, Jan;
Munawar, Maham

Publication type:

Article

Time-fractional variable-order telegraph equation involving operators with Mittag-Leffler kernel.

Published in:

Journal of Electromagnetic Waves & Applications, 2019, v. 33, n. 2, p. 165, doi. 10.1080/09205071.2018.1531791

By:

Gómez-Aguilar, J. F.;
Atangana, Abdon

Publication type:

Article

Optimal synchronization of fractal–fractional differentials on chaotic convection for Newtonian and non-Newtonian fluids.

Published in:

European Physical Journal: Special Topics, 2023, v. 232, n. 14/15, p. 2403, doi. 10.1140/epjs/s11734-023-00913-6

By:

Abro, Kashif Ali;
Atangana, Abdon;
Gomez-Aguilar, J. F.

Publication type:

Article

Existence and uniqueness of nonlinear fractional differential equations with the Caputo and the Atangana-Baleanu derivatives: Maximal, minimal and Chaplygin approaches.

Published in:

AIMS Mathematics, 2024, v. 9, n. 10, p. 1, doi. 10.3934/math.20241282

By:

Atangana, Abdon

Publication type:

Article

Extension of Chaplygin's existence and uniqueness method for fractal-fractional nonlinear differential equations.

Published in:

AIMS Mathematics, 2024, v. 9, n. 3, p. 1, doi. 10.3934/math.2024280

By:

Atangana, Abdon;
Araz, Seda İğret

Publication type:

Article

A successive midpoint method for nonlinear differential equations with classical and Caputo-Fabrizio derivatives.

Published in:

AIMS Mathematics, 2023, v. 8, n. 11, p. 27309, doi. 10.3934/math.20231397

By:

Atangana, Abdon;
Araz, Seda İğret

Publication type:

Article