Concepedia
Chaos Solitons & Fractals · 2019 · 58 citations · 29 references
Numerical AnalysisFractional-order SystemAnomalous DiffusionNumerical TreatmentFractional Advection-diffusion EquationNumerical Method For Partial Differential Equation
29
New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model
Abdon Atangana, Dumitru Bǎleanu · SHILAP Revista de lepidopterología · 2016 · 3.7K citations · Full text
A new Definition of Fractional Derivative without Singular Kernel
Michèle Caputo, Mauro Fabrizio · 2015 · 2.4K citations
Smooth Kernel, Fractional-order System, Fractional Dynamic +6
Recent history of fractional calculus
J. A. Tenreiro Machado, Virginia Kiryakova, Francesco Mainardi · Communications in Nonlinear Science and Numerical Simulation · 2010 · 1.6K citations
Fractional-order System, Fractional Dynamic, Foundational Calculus
Numerical Solution of Partial Differential Equations.
G. W. Hedstrom, G. D. Smith · American Mathematical Monthly · 1966 · 1.5K citations
Numerical Analysis, Engineering, Numerical Solution +3
Properties of a New Fractional Derivative without Singular Kernel
Jorge Losada, Juan J. Nieto, Saudi Arabia · 2015 · 764 citations
Resolvent Kernel, Fractional-order System, New Concept +6