A
Arman Dabiri
Researcher at University of Arizona
Publications - 41
Citations - 621
Arman Dabiri is an academic researcher from University of Arizona. The author has contributed to research in topics: Fractional calculus & Matrix (mathematics). The author has an hindex of 14, co-authored 40 publications receiving 516 citations. Previous affiliations of Arman Dabiri include Southern Illinois University Edwardsville & Eastern Michigan University.
Papers
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Optimal variable-order fractional PID controllers for dynamical systems
TL;DR: A technique to discretize fractional differential equations with variable-order operators with resulting model and a particle swarm optimization algorithm are used to search for the optimal parameters of the VFPID controllers.
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Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods
Arman Dabiri,Eric A. Butcher +1 more
TL;DR: In this article, a general framework for the numerical solution of multi-order fractional delay differential equations (FDDEs) in non-canonical forms with irrational/rational multiple delays by the use of a spectral collocation method was discussed.
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Efficient modified Chebyshev differentiation matrices for fractional differential equations
Arman Dabiri,Eric A. Butcher +1 more
TL;DR: A new fast spectrally accurate FCDM for fractional differentiation which does not require the use of the gamma function is proposed and overcomes the previous limitation regarding the size limitation.
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Coefficient of restitution in fractional viscoelastic compliant impacts using fractional Chebyshev collocation
TL;DR: In this article, the authors introduced the fractional Chebyshev collocation (FCC) method as an approximation tool for numerical simulation of several linear fractional viscoelastic compliant impact models in which the overall coefficient of restitution for the impact is studied as a function of fractional model parameters for the first time.
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Stable fractional Chebyshev differentiation matrix for the numerical solution of multi-order fractional differential equations
Arman Dabiri,Eric A. Butcher +1 more
TL;DR: In this paper, the authors proposed fractional Chebyshev differentiation matrices (FCDM) for approximating the left and right-sided Caputo-fractional derivatives.