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

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

Generalized Langevin equation with tempered memory kernel

(2017) André Liemert et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

On a sum with a three-parameter Mittag-Leffler function

(2016) D.S. de Oliveira et al.   INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

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

Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions

(2015) Roberto Garrappa   SIAM JOURNAL ON NUMERICAL ANALYSIS

Time-optimal control of fractional-order linear systems

(2015) Ivan Matychyn et al.   Fractional Calculus and Applied 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

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

The Exponentially Convergent Trapezoidal Rule

(2014) Lloyd N. Trefethen et al.   SIAM REVIEW

Exponential integrators for time–fractional partial differential equations

(2013) R. Garrappa   European Physical Journal-Special Topics

Evaluation of generalized Mittag–Leffler functions on the real line

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

Numerical scheme for calculating of the fractional two-power relaxation laws in time-domain of measurements

(2011) Aleksander Stanislavsky et al.   COMPUTER PHYSICS COMMUNICATIONS

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

Computing matrix functions

(2010) Nicholas J. Higham et al.   ACTA NUMERICA

Sufficient descent nonlinear conjugate gradient methods with conjugacy condition

(2009) Wanyou Cheng et al.   NUMERICAL ALGORITHMS

Computation of functions of Hamiltonian and skew-symmetric matrices

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

Computing $A^\alpha, \log(A)$, and Related Matrix Functions by Contour Integrals

(2008) Nicholas Hale et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS