Fractional dynamics and optical soliton propagation in mono-mode fibers via the Fokas system. [PDF]
Iqbal N +5 more
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Normalized Caputo-Fabrizio SVIR modeling and bifurcation analysis. [PDF]
Shafqat R +3 more
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Fractional-Order Bioimpedance Modelling for Early Detection of Tissue Freezing in Cryogenic and Thermal Medical Applications. [PDF]
Vaquero-Gallardo N +2 more
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Generalized FitzHugh-Nagumo equations with Caputo gH-differentiability: A novel fuzzy fractional approach to digital memristor networks. [PDF]
Yousuf M +3 more
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Mathematical modeling and optimal control analysis of lumpy skin disease in domestic cattle. [PDF]
Renu, Yadav RP.
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Variable Order Fractional Controllers
Asian Journal of Control, 2012AbstractThis paper addresses variable order fractional controllers. Four situations where variable order fractional controllers may be used to cope with time‐varying plants are used as examples. In all cases a constant phase margin is sought, thus resulting in a constant overshoot in step responses, which is otherwise unattainable.
Valério, Duarte, Sá Da Costa, José
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Fractional‐order iterative learning control for fractional‐order linear systems
Asian Journal of Control, 2011AbstractIn this paper, we discuss in time domain the convergence of the iterative process for fractional‐order systems. Fractional order iterative learning updating schemes are considered. For the linear time invariant (LTI) system case, the convergence conditions of the fractional‐order and integer‐order iterative learning schemes are proved to be ...
Li, Yan, Chen, YangQuan, Ahn, Hyo-Sung
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Fractional-order inverse filters revisited: Equivalence with fractional-order controllers
Microelectronics Journal, 2023The equivalence of fractional-order inverse filters with fractional-order controllers is demonstrated in this work. This is achieved by appropriately rewriting the filters transfer functions in order to clarify the correspondence between the gain and time-constant of the filters and the scaling factor and differentiation/integration constant of the ...
Panagiotis Bertsias +4 more
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Fractional‐order Chebyshev wavelet method for variable‐order fractional optimal control problems
Mathematical Methods in the Applied Sciences, 2021A new alternative numerical method for solving variable‐order fractional optimal control problems (VO‐FOCPs) is introduced. We use fractional‐order Chebyshev wavelets for solving these VO‐FOCPs. By applying the regularized beta functions, an exact value for the fractional integration of the given wavelets is provided.
Ghodsieh Ghanbari, Mohsen Razzaghi
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