On the Matrix Mittag–Leffler Function: Theoretical Properties and Numerical Computation

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

Computing the Matrix Mittag-Leffler Function with Applications to Fractional Calculus

(2018) Roberto Garrappa et al.   JOURNAL OF SCIENTIFIC COMPUTING

Some notes on properties of the matrix Mittag-Leffler function

(2018) Amir Sadeghi et al.   APPLIED MATHEMATICS AND COMPUTATION

Efficient approximation of functions of some large matrices by partial fraction expansions

(2018) D. Bertaccini et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

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

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

On fractional matrix exponentials and their explicit calculation

(2016) Marianito R. Rodrigo   JOURNAL OF DIFFERENTIAL EQUATIONS

Models of dielectric relaxation based on completely monotone functions

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

Solving the time-fractional Schrödinger equation by Krylov projection methods

(2015) Roberto Garrappa et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

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

On stochasticity preserving methods for the computation of the matrix pth root

(2015) Tiziano Politi et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions

(2015) Roberto Garrappa   SIAM JOURNAL ON NUMERICAL ANALYSIS

Global Padé Approximations of the Generalized Mittag-Leffler Function and its Inverse

(2015) Caibin Zeng et al.   Fractional Calculus and Applied Analysis

On the numerical computation of the Mittag-Leffler function

(2014) Duarte Valério et al.   Communications in Nonlinear Science and Numerical Simulation

Evaluation of generalized Mittag–Leffler functions on the real line

(2012) Roberto Garrappa et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

On the Convergence of Krylov Subspace Methods for Matrix Mittag–Leffler Functions

(2011) Igor Moret et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

On the use of matrix functions for fractional partial differential equations

(2010) Roberto Garrappa et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Computation of functions of Hamiltonian and skew-symmetric matrices

(2008) N. Del Buono et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Acceleration Techniques for Approximating the Matrix Exponential Operator

(2008) M. Popolizio et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS