Exponential quadrature rules for linear fractional differential equations
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Publication:2018704
DOI10.1007/s00009-014-0396-zzbMath1314.65093arXiv1311.1388OpenAlexW3102950679MaRDI QIDQ2018704
Marina Popolizio, Roberto Garrappa
Publication date: 25 March 2015
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.1388
Mittag-Leffler functionnumerical exampleaccuracyquadrature rulesfractional differential equationlinear problem
Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)
Related Items (6)
A new numerical method for solving semilinear fractional differential equation ⋮ The solutions of time and space conformable fractional heat equations with conformable Fourier transform ⋮ Numerical solution of time fractional Burgers equation by cubic B-spline finite elements ⋮ Generalized Mittag-Leffler quadrature methods for fractional differential equations ⋮ On some new properties of fractional derivatives with Mittag-Leffler kernel ⋮ A new spectral method using nonstandard singular basis functions for time-fractional differential equations
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Cites Work
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- Sustaining stable dynamics of a fractional-order chaotic financial system by parameter switching
- A family of Adams exponential integrators for fractional linear systems
- A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side
- Numerical approaches to fractional calculus and fractional ordinary differential equation
- Exponential fitting direct quadrature methods for Volterra integral equations
- On accurate product integration rules for linear fractional differential equations
- Generalized exponential time differencing methods for fractional order problems
- Preserving geometric properties of the exponential matrix by block Krylov subspace methods
- Multistep collocation methods for Volterra integro-differential equations
- On the fractional Adams method
- On the order of the error in discretization methods for weakly singular second kind Volterra integral equations with non-smooth solutions
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- RD-rational approximations of the matrix exponential
- Detailed error analysis for a fractional Adams method
- On some generalizations of the implicit Euler method for discontinuous fractional differential equations
- Analysis and shaping of the self-sustained oscillations in relay controlled fractional-order systems
- Evaluation of generalized Mittag-Leffler functions on the real line
- Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field
- Talbot quadratures and rational approximations
- Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems
- Geometric Integration on Manifold of Square Oblique Rotation Matrices
- Equivalent system for a multiple-rational-order fractional differential system
- A Note on Krylov Methods for Fractional Evolution Problems
- Exponential integrators
- Discretized Fractional Calculus
- On linear stability of predictor–corrector algorithms for fractional differential equations
- Runge-Kutta Theory for Volterra and Abel Integral Equations of the Second Kind
- Parabolic and hyperbolic contours for computing the Bromwich integral
- A Spectral Order Method for Inverting Sectorial Laplace Transforms
- Loop‐Shaping and Easy Tuning of Fractional‐Order Proportional Integral Controllers for Position Servo Systems
- Sliding Motion in Filippov Differential Systems: Theoretical Results and a Computational Approach
- Acceleration Techniques for Approximating the Matrix Exponential Operator
- The restarted shift-and-invert Krylov method for matrix functions
- Schur Decomposition Methods for the Computation of Rational Matrix Functions
- Functions of Matrices
- Numerical Quadrature and Asymptotic Expansions
- Computation of the Exponential of Large Sparse Skew-Symmetric Matrices
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