Why fractional derivatives with nonsingular kernels should not be used

A comment on a controversial issue: A generalized fractional derivative cannot have a regular kernel

(2020) Andrzej Hanyga   Fractional Calculus and Applied Analysis

A practical guide to Prabhakar fractional calculus

(2020) Andrea Giusti et al.   Fractional Calculus and Applied Analysis

Evaluation of Fractional Integrals and Derivatives of Elementary Functions: Overview and Tutorial

(2019) Roberto Garrappa et al.   Mathematics

Fractional-order derivatives defined by continuous kernels are too restrictive

(2018) Martin Stynes   APPLIED MATHEMATICS LETTERS

A critical analysis of the Caputo–Fabrizio operator

(2018) Manuel D. Ortigueira et al.   Communications in Nonlinear Science and Numerical Simulation

No nonlocality. No fractional derivative

(2018) Vasily E. Tarasov   Communications in Nonlinear Science and Numerical Simulation

A comment on some new definitions of fractional derivative

(2018) Andrea Giusti   NONLINEAR DYNAMICS

Fractional Diffusion--Telegraph Equations and Their Associated Stochastic Solutions

(2018) M. D'Ovidio et al.   THEORY OF PROBABILITY AND ITS APPLICATIONS

What is a fractional derivative?

(2015) Manuel D. Ortigueira et al.   JOURNAL OF COMPUTATIONAL PHYSICS

No violation of the Leibniz rule. No fractional derivative

(2013) Vasily E. Tarasov   Communications in Nonlinear Science and Numerical Simulation

General Fractional Calculus, Evolution Equations, and Renewal Processes

(2011) Anatoly N. Kochubei   INTEGRAL EQUATIONS AND OPERATOR THEORY