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ADVANCES IN DIFFERENCE EQUATIONS, ISSN 1687-1847, 07/2018
We extend the fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and investigate two higher-order series-type fractional differential... 
MATHEMATICS | MATHEMATICS, APPLIED | Series-type equation | The extended Caputo-Fabrizio derivative of order 0 <= sigma < 1 | Higher-order fractional differential equation | DIFFUSION
Journal Article
The European Physical Journal Plus, ISSN 2190-5444, 3/2018, Volume 133, Issue 3, pp. 1 - 12
In this work we extend the standard model for a cubic isothermal auto-catalytic chemical system (CIACS) to a new model of a fractional cubic isothermal... 
Condensed Matter Physics | Atomic, Molecular, Optical and Plasma Physics | Applied and Technical Physics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | MODEL | PHYSICS, MULTIDISCIPLINARY | EQUATION | HOMOTOPY ANALYSIS METHOD
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
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 08/2018, Volume 61, pp. 138 - 148
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 01/2017, Volume 73, Issue 1, pp. 1 - 10
The advection–diffusion equation with time-fractional derivatives without singular kernel and two space-variables is considered. The fundamental solutions in a... 
Fundamental solutions | Dirichlet problem | Caputo–Fabrizio derivative | Advection–diffusion equation | Advection-diffusion equation | Caputo-Fabrizio derivative | MATHEMATICS, APPLIED | Kernels | Fourier transforms | Mathematical analysis | Mathematical models | Derivatives | Laplace transforms | Diffusion
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 11/2017, Volume 74, Issue 10, pp. 2503 - 2519
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 04/2019, Volume 68, pp. 603 - 615
Journal Article
Mechanics of Time-Dependent Materials, ISSN 1385-2000, 5/2019, Volume 23, Issue 2, pp. 133 - 151
This paper presents a study of Walters’-B fluid with Caputo–Fabrizio fractional derivatives through an infinitely long oscillating vertical plate by Newtonian... 
Polymer Sciences | Stehfest’s algorithm | Caputo–Fabrizio derivatives | Engineering | Walter’s-B fluid | Solid Mechanics | Classical Mechanics | Characterization and Evaluation of Materials | Newtonian heating | Magnetic field | Algorithms | Magnetic fields | Analysis | Differential equations
Journal Article
BOUNDARY VALUE PROBLEMS, ISSN 1687-2770, 04/2019, Volume 2019, Issue 1, pp. 1 - 17
We first show that four fractional integro-differential inclusions have solutions. Also, we show that dimension of the set of solutions for the second... 
MATHEMATICS | MATHEMATICS, APPLIED | Dimension of the set of solutions | Fractional differential inclusion | Caputo-Fabrizio fractional derivation | Inclusions | Caputo–Fabrizio fractional derivation
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. 109 - 115
In this article, we analyze the El Nino–Southern Oscillation (ENSO) model in the global climate with a new fractional derivative recently proposed by Caputo... 
Caputo–Fabrizio fractional derivative | Fixed point theorem | Atmosphere-ocean | El Nino-Southern Oscillation | Uniqueness | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Caputo-Fabrizio fractional derivative | Models | Numerical analysis | Southern oscillation | Analysis
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
Acta Mechanica, ISSN 0001-5970, 12/2019, Volume 230, Issue 12, pp. 4367 - 4384
Journal Article
Computational and Applied Mathematics, ISSN 0101-8205, 9/2018, Volume 37, Issue 4, pp. 5203 - 5216
Journal Article
Entropy, ISSN 1099-4300, 05/2017, Volume 19, Issue 5, p. 114
In the present paper, we use analytical techniques to solve fractional nonlinear differential equations systems that arise in Bergman’s minimal model, used to... 
Mathematical analysis | Differential equations | Uniqueness | Nonlinearity | Systems analysis | Mathematical models | Glucose | Metabolism | Insulin | fractional differential equation | Caputo–Fabrizio fractional derivative | Bergman’s minimal model | Sumudu transform
Journal Article
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