Derivatives with Non-Singular Kernels from the Caputo-Fabrizio Definition and Beyond: Appraising Analysis with Emphasis on Diffusion Models

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New aspects of time fractional optimal control problems within operators with nonsingular kernel (2020, background): “In the study [29], the underlying physical meaning of the nonsingular kernel was investigated and a collection of recent applications of fractional differentiation operators with non-singular kernels was presented.”
The Role of Fractional Time-Derivative Operators on Anomalous Diffusion (2017, background): “In the CaputoFabrizio case, we found that the waiting time distribution is described by an exponential distribution; while the Atangana-Baleanu operator yields a distribution that decays as a stretched exponential for small times and as a power-law (with the same exponent of the Riemann-Liouville op”