Results 121 to 130 of about 719,078 (260)

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar   +3 more
wiley   +1 more source

Algebra és számelmélet feladatgyűjtemény

open access: yes, 2010
Algebra és számelmélet feladatgyűjtemény ...
Török, Szilvia
core  

Novel Bernstein‐Kantorovich Type Operators

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,θ$$ {K}_{\beta}^{n,\theta } $$, parameterized by 0<β<1$$ 0<\beta <1 $$ and θ>0$$ \theta >0 $$. We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
wiley   +1 more source

On the Approximation Properties of Modified Bernstein–Kantorovich Operators and Their Subfamilies

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Motivated by the construction of Bernstein–Kantorovich operators preserving affine functions, we introduce a Bernstein–Kantorovich type operators 𝒯n,m together with its subfamilies 𝒯∗n,m, 𝒯∗n,2m−1 and 𝒯∗n,2m. We investigate and compare their approximation properties with the other Bernstein–Kantorovich operators. Our analysis demonstrates that,
Hüseyin Aktuğlu, Mustafa Kara
wiley   +1 more source

Fragmentation–Coagulation Processes With Advection or Diffusion in Space

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley   +1 more source

From Biological Fractal Dynamics to Analog Fractional‐Order Circuits: A System Design Framework Based on Operatorization Thought

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Fractional calculus, with its unique advantage in describing memory and nonlocal effects, has become a key tool for modeling nonlinear dynamic systems. Its integration with circuit systems has opened up a new paradigm for modern circuit design.
Zhimo Jian   +4 more
wiley   +1 more source

Enhanced Control Strategies for Residual‐Vibration Suppression and Adaptive Tracking in Flexible Manipulator Under Unknown Bounded Disturbances

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper proposes a hybrid control strategy for flexible‐link manipulators that combines offline trajectory planning with adaptive tracking to suppress residual elastic vibration (REV) under unknown bounded disturbances. A rigid–flexible coupling dynamics model is first established using the floating‐frame method and Lagrange's equations ...
Mingming Shi   +5 more
wiley   +1 more source

Ways of linking geometry and algebra, the case of Geogebra

open access: yes, 2007
This paper discusses ways of enhancing the teaching of mathematics through enabling learners to gain stronger links between geometry and algebra. The vehicle for this is consideration of the affordances of GeoGebra, a form of freely-available open-source
BSRLM Geometry Working Group   +2 more
core   +1 more source

Dynamic Performance Enhancement of a High‐Agility Hypersonic Mechanical System via a Learning‐Augmented Robust Control Architecture

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori   +1 more
wiley   +1 more source

Tactical and Strategic Risks From Supply Disruptions in Competing Supply Chains

open access: yesNaval Research Logistics (NRL), EarlyView.
ABSTRACT Supply chain disruptions can lead to both tactical (i.e., loss of short‐term sales during a disruption) and strategic (i.e., loss of long‐term market share) consequences. We model the impact of a supply disruption on competing supply chains in which two firms compete for a limited backup supply.
Akhil Singla   +3 more
wiley   +1 more source

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