Stability of fractional-order systems with Prabhakar derivatives

A practical guide to Prabhakar fractional calculus

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

Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel

(2019) Dazhi Zhao et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

A note on the article “Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel” [Z. Angew. Math. Phys. (2019) 70: 42]

(2019) K. Górska et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

General fractional calculus and Prabhakar’s theory

(2019) Andrea Giusti   Communications in Nonlinear Science and Numerical Simulation

Prabhakar-like fractional viscoelasticity

(2018) Andrea Giusti et al.   Communications in Nonlinear Science and Numerical Simulation

The Prabhakar or three parameter Mittag–Leffler function: Theory and application

(2018) Roberto Garra et al.   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

Grünwald–Letnikov operators for fractional relaxation in Havriliak–Negami models

(2016) Roberto Garrappa   Communications in Nonlinear Science and Numerical Simulation

Models of dielectric relaxation based on completely monotone functions

(2016) Roberto Garrappa et al.   Fractional Calculus and Applied Analysis

Matrix fractional systems

(2015) J.A. Tenreiro Machado   Communications in Nonlinear Science and Numerical Simulation

On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics

(2015) Francesco Mainardi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A novel FDTD formulation based on fractional derivatives for dispersive Havriliak–Negami media

(2015) P. Bia et al.   SIGNAL PROCESSING

Laplace type integral expressions for a certain three-parameter family of generalized Mittag–Leffler functions with applications involving complete monotonicity

(2014) Živorad Tomovski et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

On the Time-Domain Response of Havriliak-Negami Dielectrics

(2013) Matthew F. Causley et al.   IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

General Fractional Calculus, Evolution Equations, and Renewal Processes

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

Exponentially small expansions in the asymptotics of the Wright function

(2010) R.B. Paris   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

The Havriliak–Negami susceptibility as a nonlinear and nonlocal process

(2009) Paulius Miskinis   PHYSICA SCRIPTA