Discretized fractional calculus
SIAM Journal on Mathematical Analysis
On Mittag-Leffler-type functions in fractional evolution processes
Journal of Computational and Applied Mathematics - Special issue on higher transcendental functions and their applications
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential
SIAM Journal on Numerical Analysis
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
Acceleration Techniques for Approximating the Matrix Exponential Operator
SIAM Journal on Matrix Analysis and Applications
Fractional Adams-Moulton methods
Mathematics and Computers in Simulation
On some explicit Adams multistep methods for fractional differential equations
Journal of Computational and Applied Mathematics
Error Estimates for Polynomial Krylov Approximations to Matrix Functions
SIAM Journal on Matrix Analysis and Applications
A survey on methods for computing matrix exponentials in numerical schemes for ODEs
ICCS'03 Proceedings of the 2003 international conference on Computational science: PartII
On linear stability of predictor-corrector algorithms for fractional differential equations
International Journal of Computer Mathematics
On accurate product integration rules for linear fractional differential equations
Journal of Computational and Applied Mathematics
On the use of matrix functions for fractional partial differential equations
Mathematics and Computers in Simulation
Generalized exponential time differencing methods for fractional order problems
Computers & Mathematics with Applications
On the Convergence of Krylov Subspace Methods for Matrix Mittag-Leffler Functions
SIAM Journal on Numerical Analysis
Evaluation of generalized Mittag---Leffler functions on the real line
Advances in Computational Mathematics
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The numerical solution of linear time-invariant systems of fractional order is investigated. We construct a family of exponential integrators of Adams type possessing good convergence and stability properties. The methods are devised in order to keep at a suitable level, the computational effort necessary to solve problems of large size. Numerical experiments are provided to validate the theoretical results; the effectiveness of the proposed approach is tested and compared to some other classical methods.