Concepedia
Communications in Nonlinear Science and Numerical Simulation · 2017 · 103 citations · 5 references
Open access
Natural SciencesMathematicsPhysicsMathematical PhysicsTheoretical PhysicsBoundary ConditionsOperator TheoryPerturbation Theory Of Operators
5
New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model
Dumitru Bǎleanu · DOAJ (DOAJ: Directory of Open Access Journals) · 2016 · 3.9K citations · Full text
Engineering, Mechanical Engineering, Physics +11
A new Definition of Fractional Derivative without Singular Kernel
Michèle Caputo, Mauro Fabrizio · 2015 · 2.4K citations
Natural Sciences, Mathematics, Physics +10
What is a fractional derivative?
Manuel Duarte Ortigueira, J. A. Tenreiro Machado · Journal of Computational Physics · 2014 · 511 citations
Natural Sciences, Mathematics, Differential Equations +2
No violation of the Leibniz rule. No fractional derivative
Vasily E. Tarasov · Communications in Nonlinear Science and Numerical Simulation · 2013 · 279 citations · Full text
Natural Sciences, Mathematics, Physics +3
Fractional derivatives: Probability interpretation and frequency response of rational approximations
J. A. Tenreiro Machado · Communications in Nonlinear Science and Numerical Simulation · 2009 · 92 citations · Full text