Results 11 to 20 of about 674,066 (256)
Fractional-order feedback control of a pneumatic servo-drive [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2019 A fractional-order control strategy for a pneumatic position servo-system is presented in this paper. The idea of the fractional calculus application to control theory was introduced in many works, and its advantages were proved.
P.A. Laski
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Journal of Function SpacesConsider an injective closed linear operator Λ defined on a Banach space Ψ and introduce the modified Atangana–Baleanu–Caputo (mABC) fractional derivative, denoted by mABCDtγ.
Maysaa Al-Qurashi +3 more
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A Note on Caputo’s Derivative Operator Interpretation in Economy
Journal of Applied Mathematics, 2018 We propound the economic idea in terms of fractional derivatives, which involves the modified Caputo’s fractional derivative operator. The suggested economic interpretation is based on a generalization of average count and marginal value of economic ...
Hameed Ur Rehman +2 more
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Fractional calculus of periodic distributions [PDF]
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +5 more
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On plane Λ-fractional linear elasticity theory
Theoretical and Applied Mechanics Letters, 2020 : Non-local plane elasticity problems are discussed in the context of Λ-fractional linear elasticity theory. Adapting the Λ-fractional derivative along with the Λ-fractional space, where geometry and mechanics are valid in the conventional way, non-local
K.A. Lazopoulos, A.K. Lazopoulos
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Systems Science & Control Engineering, 2023 This paper studies the stability comparison of four controllers for a hydraulic turbine fractional order interval parameter time-delay system. Considering the terms of parameter uncertainty and time-lag, the hydraulic turbine fractional order interval ...
Tian Tian, Jinhua Lv, Jian Tang
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Fractional derivative and Midpoint rules [PDF]
, 2022 The fractional derivative has a long history in mathematics dating back further than integer-order derivative, but it did not gain traction until recently.
Ayash, Jayden
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R., Ricardo Almeida
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On Λ-Fractional Wave Propagation in Solids
Mathematics, 2023 Wave propagation in solids is discussed, based upon inherently non-local Λ-fractional analysis. Following the governing equations of Λ-fractional continuum mechanics, the Λ-fractional wave equations are derived.
Kostantinos A. Lazopoulos +1 more
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Fractional variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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