Abdon Atangana
TitleCited byYear
New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model
A Atangana, D Baleanu
Thermal Science, 2016
6992016
Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order
A Atangana, I Koca
Chaos, Solitons & Fractals 89, 447-454, 2016
3212016
On the new fractional derivative and application to nonlinear Fisher’s reaction–diffusion equation
A Atangana
Applied Mathematics and Computation 273, 948-956, 2016
2412016
Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena
A Atangana, JF Gómez-Aguilar
The European Physical Journal Plus 133 (4), 166, 2018
1752018
Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties
A Atangana
Physica A: Statistical Mechanics and its Applications 505, 688-706, 2018
1492018
New properties of conformable derivative
A Atangana, D Baleanu, A Alsaedi
Open Mathematics 13 (1), 2015
1422015
Analysis of the Keller–Segel model with a fractional derivative without singular kernel
A Atangana, B Alkahtani
Entropy 17 (6), 4439-4453, 2015
1302015
A note on fractional order derivatives and table of fractional derivatives of some special functions
A Atangana, A Secer
Abstract and applied analysis 2013, 2013
1272013
A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
J Singh, D Kumar, Z Hammouch, A Atangana
Applied Mathematics and Computation 316, 504-515, 2018
1102018
Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel
A Atangana, JJ Nieto
Advances in Mechanical Engineering 7 (10), 1687814015613758, 2015
1092015
Caputo-Fabrizio derivative applied to groundwater flow within confined aquifer
A Atangana, D Baleanu
Journal of Engineering Mechanics 143 (5), D4016005, 2017
932017
On the stability and convergence of the time-fractional variable order telegraph equation
A Atangana
Journal of Computational Physics 293, 104-114, 2015
912015
Fractional derivatives with no-index law property: application to chaos and statistics
A Atangana, JF Gómez-Aguilar
Chaos, Solitons & Fractals 114, 516-535, 2018
852018
Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel
A Atangana, BST Alkahtani
Advances in Mechanical Engineering 7 (6), 1687814015591937, 2015
802015
New model of groundwater flowing within a confine aquifer: application of Caputo-Fabrizio derivative
A Atangana, BST Alkahtani
Arabian Journal of Geosciences 9 (1), 8, 2016
782016
The time-fractional coupled-Korteweg-de-Vries equations
A Atangana, A Secer
Abstract and Applied Analysis 2013, 2013
752013
New insight in fractional differentiation: power, exponential decay and Mittag-Leffler laws and applications
JF Gómez-Aguilar, A Atangana
The European Physical Journal Plus 132 (1), 13, 2017
742017
Solving a system of fractional partial differential equations arising in the model of HIV infection of CD4+ cells and attractor one-dimensional Keller-Segel equations
A Atangana, E Alabaraoye
Advances in Difference Equations 2013 (1), 94, 2013
732013
On the new fractional derivative and application to nonlinear Baggs and Freedman model
AAI Koca
Journal of Nonlinear Sciences and Applications 9, 2467-2480, 2016
632016
New numerical approximation of fractional derivative with non-local and non-singular kernel: Application to chaotic models
M Toufik, A Atangana
The European Physical Journal Plus 132 (10), 444, 2017
622017
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Articles 1–20