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On FIR Filter Approximation of Fractional-Order Differentiators and Integrators
IEEE Journal on Emerging and Selected Topics in Circuits and Systems, 2013This paper considers finite-length impulse response (FIR) filter approximation of differentiators and integrators, collectively called differintegrators. The paper introduces and compares three different FIR filter structures for this purpose, all of which are optimized in the minimax sense using iterative reweighted l1-norm minimization.
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Exponential Integrators for Fractional Differential Equations
2014Exponential integrators are a well-established class of effective methods for the numerical integration of systems of differential equations of large dimension, especially in the presence of stiffness. Problems of this kind are common in several applications and usually come from semi-discretization of partial differential equations.
Garrappa R., POPOLIZIO, MARINA
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FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL KATUGAMPOLA FRACTIONAL INTEGRAL
2018[Abstract Not Available]
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New development and application of integration of differential fractions
ACM Communications in Computer Algebra, 2015openaire +1 more source
Fractional Order Differentiation by Integration and Error Analysis in Noisy Environment
IEEE Transactions on Automatic Control, 2015Wilfrid Perruquetti +2 more
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Fractional integration and differentiation of variable order: an overview
Nonlinear Dynamics, 2012Stefan Samko, Samko Stefan
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Efficient modified Chebyshev differentiation matrices for fractional differential equations
Communications in Nonlinear Science and Numerical Simulation, 2017Arman Dabiri, Eric Butcher
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