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Fuzzy Sets and Systems, ISSN 0165-0114, 11/2019, Volume 375, pp. 70 - 99
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 09/2018, Volume 62, pp. 157 - 163
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2007, Volume 187, Issue 2, pp. 777 - 784
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 01/2018, Volume 316, pp. 504 - 515
In the computer security and for any defensive strategy, computer viruses are very significant aspect. To understand their expansion and extension is very... 
Caputo-Fabrizio derivative | Fixed point theorem | Computer viruses | Fractional differential equations | Epidemiological model | MATHEMATICS, APPLIED | CALCULUS | Models | Numerical analysis | Epidemiology | Analysis | Differential equations | Water, Underground
Journal Article
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 08/2016, Volume 89, pp. 552 - 559
In 2015 Caputo and Fabrizio suggested a new operator with fractional order, this derivative is based on the exponential kernel. Earlier this year 2016 Atangana... 
Caputo–Fabrizio derivatives | Allen–Cahn model | Atangana–Baleanu derivatives | Caputo-Fabrizio derivatives | Allen-Cahn model | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Atangana-Baleanu derivatives | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | EQUATION | Analysis | Models | Numerical analysis
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 12/2017, Volume 105, pp. 111 - 119
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 11/2018, Volume 509, pp. 703 - 716
In this paper, we obtain analytical solutions for the fractional cubic isothermal auto-catalytic chemical system with Caputo–Fabrizio and Atangana–Baleanu... 
q-HATM | Atangana–Baleanu | [formula omitted]-curves | Fractional isothermal auto-catalytic chemical systems | Caputo–Fabrizio | h-curves | Atangana-Baleanu | LONG-WAVE EQUATION | NUMERICAL-SOLUTION | TRANSPORT | PHYSICS, MULTIDISCIPLINARY | Caputo-Fabrizio | TIME | MODEL | HOMOTOPY ANALYSIS METHOD
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 02/2014, Volume 259, pp. 33 - 50
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 06/2017, Volume 99, pp. 171 - 179
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 08/2016, Volume 89, pp. 539 - 546
In order to control the movement of waves on the area of shallow water, the newly derivative with fractional order proposed by Caputo and Fabrizio was used. To... 
Caputo–Fabrizio fractional derivative | Stability and uniqueness | Shallow water model | Fixed-point theorem | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | EQUATION | Caputo-Fabrizio fractional derivative | Water, Underground | Numerical analysis | Analysis | Differential equations
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2019, Volume 346, pp. 247 - 260
In this paper, we present a new definition of fractional-order derivative with a smooth kernel based on the Caputo–Fabrizio fractional-order operator which... 
Modified-Caputo–Fabrizio derivative | Multi step homotopy analysis method | Fractional calculus | Homotopy analysis method | SPACE | MATHEMATICS, APPLIED | PARTIAL-DIFFERENTIAL-EQUATIONS | Modified-Caputo-Fabrizio derivative | TRANSFORM METHOD | SYSTEMS | Methods | Differential equations
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 12/2017, Volume 350, pp. 1 - 15
Journal Article
Entropy, ISSN 1099-4300, 2015, Volume 17, Issue 6, pp. 4439 - 4453
Using some investigations based on information theory, the model proposed by Keller and Segel was extended to the concept of fractional derivative using the... 
Special solution | Keller-Segel model | Fixed-point theorem | Caputo-Fabrizio fractional derivative | fixed-point theorem | PHYSICS, MULTIDISCIPLINARY | special solution | EQUATION | Kernels | Computer simulation | Uniqueness | Joining | Mathematical models | Entropy | Derivatives | Iterative methods | Caputo–Fabrizio fractional derivative | Keller–Segel model
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 05/2013, Volume 37, Issue 9, pp. 6183 - 6190
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 04/2016, Volume 447, pp. 467 - 481
Journal Article