Results 11 to 20 of about 73,704 (233)
On Λ-fractional visco-elastic beam
Forces in Mechanics, 2022 Zener's viscoelastic model is studied with the help of the non-local accurate Λ-fractional mathematical analysis. The model has been applied to the general Λ-fractional visco-elastic beam bending.
K.A. Lazopoulos +2 more
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On Λ-Fractional Analysis and Mechanics
Axioms, 2022 Λ-Fractional analysis was introduced to fill up the mathematical gap exhibited in fractional calculus, where the various fractional derivatives fail to fulfill the prerequisites demanded by differential topology.
Konstantinos A. Lazopoulos
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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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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-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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On the fractional deformation of a linearly elastic bar
Journal of the Mechanical Behavior of Materials, 2020 Fractional derivatives have non-local character, although they are not mathematical derivatives, according to differential topology. New fractional derivatives satisfying the requirements of differential topology are proposed, that have non-local ...
Lazopoulos Konstantinos A. +1 more
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International Journal of Computational Intelligence Systems, 2023 This paper presents a groundbreaking approach to enhance the performance of a vehicle cruise control system—a crucial aspect of road safety. The work offers two key contributions.
Serdar Ekinci +5 more
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Fractional-Order PII1/2DD1/2 Control: Theoretical Aspects and Application to a Mechatronic Axis
Applied Sciences, 2021 Fractional Calculus is usually applied to control systems by means of the well-known PIλDμ scheme, which adopts integral and derivative components of non-integer orders λ and µ. An alternative approach is to add equally distributed fractional-order terms
Luca Bruzzone +2 more
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Boundary regularity for elliptic systems under a natural growth condition [PDF]
, 2010 We consider weak solutions $u \in u_0 + W^{1,2}_0(\Omega,R^N) \cap L^{\infty}(\Omega,R^N)$ of second order nonlinear elliptic systems of the type $- div a (\cdot, u, Du) = b(\cdot,u,Du)$ in $\Omega$ with an inhomogeneity satisfying a natural growth ...
Beck, Lisa
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