Works by Atangana, Abdon
Results: 155
Existence, uniqueness and numerical solution of stochastic fractional differential equations with integer and non-integer orders.
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- Electronic Research Archive, 2024, v. 32, n. 2, p. 1, doi. 10.3934/era.2024035
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- Article
Analysis of nonlinear ordinary differential equations with the generalized Mittag-Leffler kernel.
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- Electronic Research Archive, 2023, v. 31, n. 11, p. 1, doi. 10.3934/mbe.2023875
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- Article
SOLUTIONS OF CATTANEO-HRISTOV MODEL OF ELASTIC HEAT DIFFUSION WITH CAPUTO-FABRIZIO AND ATANGANA-BALEANU FRACTIONAL DERIVATIVES.
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- Thermal Science, 2017, v. 21, n. 6, p. 2299, doi. 10.2298/TSCI160209103K
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- Article
REMARKS ON A GREEN FUNCTIONS APPROACH TO DIFFUSION MODELS WITH SINGULAR KERNELS IN FADING MEMORIES.
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- Thermal Science, 2017, v. 21, n. 2, p. 767, doi. 10.2298/TSCI160421234A
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- Article
CONTEMPORARY MODELLING METHODS IN HEAT, MASS, AND FLUID FLOW - Second Part.
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- Thermal Science, 2017, v. 21, n. 2, p. VII
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- Article
A NOTE ON CATTANEO-HRISTOV MODEL WITH NON-SINGULAR FADING MEMORY.
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- Thermal Science, 2017, v. 21, n. 1, p. 1, doi. 10.2298/TSCI160421298A
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- Article
CONTEMPORARY MODELLING METHODS IN HEAT, MASS, AND FLUID FLOW.
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- Thermal Science, 2017, v. 21, n. 1, p. 7
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- Article
NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model.
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- Thermal Science, 2016, v. 20, n. 2, p. 763, doi. 10.2298/TSCI160111018A
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- Article
NUMERICAL ANALYSIS OF TIME FRACTIONAL THREE DIMENSIONAL DIFUSSION EQUATION.
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- Thermal Science, 2015, v. 19, p. S7, doi. 10.2298/TSCI15S10S7A
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- Article
SOLUTION OF DIFFUSION EQUATION WITH LOCAL DERIVATIVE WITH NEW PARAMETER.
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- Thermal Science, 2015, v. 19, p. S231, doi. 10.2298/TSCI15S1S31A
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- Article
EXTENSION OF FRAGMENTATION PROCESS IN A KINETIC-DIFFUSIVE-WAVE SYSTEM.
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- Thermal Science, 2015, v. 19, p. S13, doi. 10.2298/TSCI15S1S13D
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- Article
New properties of conformable derivative.
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- Open Mathematics, 2015, v. 13, n. 1, p. 1, doi. 10.1515/math-2015-0081
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- Article
A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment.
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- International Journal of Biomathematics, 2020, v. 13, n. 3, p. 1, doi. 10.1142/S1793524520500217
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- Article
Analysis of Lassa hemorrhagic fever model with non-local and non-singular fractional derivatives.
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- International Journal of Biomathematics, 2018, v. 11, n. 8, p. N.PAG, doi. 10.1142/S1793524518501000
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- Article
Supernonlinear wave, associated analytical solitons, and sensitivity analysis in a two-component Maxwellian plasma.
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- Journal of King Saud University - Science, 2022, v. 34, n. 5, p. N.PAG, doi. 10.1016/j.jksus.2022.102108
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- 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
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- Article
Mathematical analysis and numerical simulation for fractal-fractional cancer model.
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- Mathematical Biosciences & Engineering, 2023, v. 20, n. 10, p. 18083, doi. 10.3934/mbe.2023803
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- Article
Analytical and numerical investigation of the Hindmarsh-Rose model neuronal activity.
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- Mathematical Biosciences & Engineering, 2023, v. 20, n. 1, p. 1434, doi. 10.3934/mbe.2023065
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- Article
Piecewise derivatives versus short memory concept: analysis and application.
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- Mathematical Biosciences & Engineering, 2022, v. 19, n. 8, p. 8601, doi. 10.3934/mbe.2022399
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- Article
Deterministic-Stochastic modeling: A new direction in modeling real world problems with crossover effect.
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- Mathematical Biosciences & Engineering, 2022, v. 19, n. 4, p. 3526
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- Article
Rhythmic behaviors of the human heart with piecewise derivative.
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- Mathematical Biosciences & Engineering, 2022, v. 19, n. 3, p. 3091, doi. 10.3934/mbe.2022143
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- Article
New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points.
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- Mathematical Biosciences & Engineering, 2021, v. 18, n. 6, p. 8683, doi. 10.3934/mbe.2021430
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- Article
Modeling the spread of Rubella disease using the concept of with local derivative with fractional parameter.
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- Complexity, 2016, v. 21, n. 6, p. 442, doi. 10.1002/cplx.21704
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- Article
Analytical solution for the dynamics and optimization of fractional Klein–Gordon equation: an application to quantum particle.
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- Optical & Quantum Electronics, 2023, v. 55, n. 8, p. 1, doi. 10.1007/s11082-023-04919-1
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- 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"
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- 2022
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- Correction Notice
Role of bi-order Atangana–Aguilar fractional differentiation on Drude model: an analytic study for distinct sources.
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- Optical & Quantum Electronics, 2021, v. 53, n. 4, p. 1, doi. 10.1007/s11082-021-02804-3
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- Article
Numerical solution of ABC space–time fractional distributed order reaction–diffusion equation.
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- Numerical Methods for Partial Differential Equations, 2022, v. 38, n. 3, p. 406, doi. 10.1002/num.22635
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- Article
Dual fractional modeling of rate type fluid through non‐local differentiation.
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- Numerical Methods for Partial Differential Equations, 2022, v. 38, n. 3, p. 390, doi. 10.1002/num.22633
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- Article
Numerical and mathematical analysis of induction motor by means of AB–fractal–fractional differentiation actuated by drilling system.
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- Numerical Methods for Partial Differential Equations, 2022, v. 38, n. 3, p. 293, doi. 10.1002/num.22618
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- Article
Error estimates of a semidiscrete finite element method for fractional stochastic diffusion‐wave equations.
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- Numerical Methods for Partial Differential Equations, 2018, v. 34, n. 5, p. 1834, doi. 10.1002/num.22252
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- Article
Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu.
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- Numerical Methods for Partial Differential Equations, 2018, v. 34, n. 5, p. 1502, doi. 10.1002/num.22195
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- Article
New two step Laplace Adam‐Bashforth method for integer a noninteger order partial differential equations.
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- Numerical Methods for Partial Differential Equations, 2018, v. 34, n. 5, p. 1739, doi. 10.1002/num.22216
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- Article
More generalized groundwater model with space-time caputo Fabrizio fractional differentiation.
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- Numerical Methods for Partial Differential Equations, 2017, v. 33, n. 5, p. 1616, doi. 10.1002/num.22156
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- Article
Computational analysis of a class of singular nonlinear fractional multi-order heat conduction model of the human head.
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- Scientific Reports, 2024, v. 14, n. 1, p. 1, doi. 10.1038/s41598-024-53822-6
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- Article
Theoretical analysis and second-order approximation of solution of fractal-fractional differential equations with Mittag-Leffler Kernel.
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- Mathematical & Computer Modelling of Dynamical Systems, 2024, v. 30, n. 1, p. 814, doi. 10.1080/13873954.2024.2417720
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- Article
New approach to groundwater recharge on a regional scale: uncertainty analysis and application of fractional differentiation.
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- Arabian Journal of Geosciences, 2019, v. 12, n. 16, p. N.PAG, doi. 10.1007/s12517-019-4672-x
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- Article
Optimal synchronization of fractal–fractional differentials on chaotic convection for Newtonian and non-Newtonian fluids.
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- European Physical Journal: Special Topics, 2023, v. 232, n. 14/15, p. 2403, doi. 10.1140/epjs/s11734-023-00913-6
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- Article
Modelling of fractal flow in dual media with fractional differentiation with power and generalized Mittag-Leffler laws kernels.
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- European Physical Journal: Special Topics, 2017, v. 226, n. 16-18, p. 3705, doi. 10.1140/epjst/e2018-00002-4
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- Article
Ferromagnetic Chaos in thermal convection of fluid through fractal–fractional differentiations.
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- Journal of Thermal Analysis & Calorimetry, 2022, v. 147, n. 15, p. 8461, doi. 10.1007/s10973-021-11179-2
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- Article
Thermophysical properties of Maxwell Nanofluids via fractional derivatives with regular kernel.
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- Journal of Thermal Analysis & Calorimetry, 2022, v. 147, n. 1, p. 449, doi. 10.1007/s10973-020-10287-9
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- Article
Porous effects on the fractional modeling of magnetohydrodynamic pulsatile flow: an analytic study via strong kernels.
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- Journal of Thermal Analysis & Calorimetry, 2021, v. 146, n. 2, p. 689, doi. 10.1007/s10973-020-10027-z
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- Article
Heat and mass transfer in Maxwell fluid in view of local and non-local differential operators.
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- Journal of Thermal Analysis & Calorimetry, 2021, v. 143, n. 6, p. 4313, doi. 10.1007/s10973-020-09383-7
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- Article
Thermal stratification of rotational second-grade fluid through fractional differential operators.
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- Journal of Thermal Analysis & Calorimetry, 2021, v. 143, n. 4, p. 3667, doi. 10.1007/s10973-020-09312-8
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- Article
Modeling the Enzyme Kinetic Reaction.
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- Acta Biotheoretica, 2015, v. 63, n. 3, p. 239, doi. 10.1007/s10441-015-9253-0
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- Article
Reproducing Kernel Method with Global Derivative.
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- Journal of Function Spaces, 2023, p. 1, doi. 10.1155/2023/2726735
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- Article
Electrical circuits RC, LC, and RL described by Atangana-Baleanu fractional derivatives.
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- International Journal of Circuit Theory & Applications, 2017, v. 45, n. 11, p. 1514, doi. 10.1002/cta.2348
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- Article
Analysis of a new model of H1N1 spread: Model obtained via Mittag-Leffler function.
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- Advances in Mechanical Engineering (Sage Publications Inc.), 2017, v. 9, n. 8, p. 1, doi. 10.1177/1687814017705566
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- Article
A new nonlinear triadic model of predator–prey based on derivative with non-local and non-singular kernel.
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- Advances in Mechanical Engineering (Sage Publications Inc.), 2016, v. 8, n. 11, p. 1, doi. 10.1177/1687814016681906
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- Article
Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel.
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- Advances in Mechanical Engineering (Sage Publications Inc.), 2015, v. 7, n. 10, p. 1, doi. 10.1177/1687814015613758
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- Article
Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel.
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- Advances in Mechanical Engineering (Sage Publications Inc.), 2015, v. 7, n. 6, p. 1, doi. 10.1177/1687814015591937
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- Article