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Surface Tension Measurement of Ti‐6Al‐4V by Falling Droplet Method in Oxygen‐Free Atmosphere

Advanced Engineering Materials, EarlyView.
In this article, the temperature‐dependent surface tension of free falling, oscillating Ti‐6Al‐4V droplets is investigated in both argon and monosilane doped, oxygen‐free atmosphere. Droplet temperature and oscillation are captured with one single high‐speed camera, and the surface tension is calculated with Rayleigh's formula.
Johannes May, Finn‐Lennard Janthur, Lena Kreie, Michael Müller, Sarah Seffer, Nick Schwarz, Jörg Hermsdorf, Thomas Hassel, Stefan Kaierle, Ludger Overmeyer   +9 more
wiley   +1 more source

Fractional-order stochastic delayed neural networks with impulses: mean square finite-time contractive synchronization. [PDF]

Sci Rep
Palanisamy G, Kandasamy U, Rihan FA, Ben Said S.   +3 more
europepmc   +1 more source

Optimizing hybrid energy systems for locomotives based on improved grey lag goose algorithm. [PDF]

Sci Rep
Gou X, Li J, Yazdani B.
europepmc   +1 more source

Robust fractional-order adaptive cascaded strategy for mitigating load frequency deviations in renewable thermal hybrid systems. [PDF]

Sci Rep
Halim YMA, Omar OAM, Attia MA, Diaaeldin IM, Badr AO, Afifi MA.   +5 more
europepmc   +1 more source

Modeling chaotic diabetes systems using fully recurrent neural networks enhanced by fractional-order learning. [PDF]

Sci Rep
Mostafa E, Mahmoud TA, El-Brawany MA.
europepmc   +1 more source

A hybrid computational framework for fractional cancer diffusion models in uncertain settings. [PDF]

Sci Rep
Qayyum M, Nayab S, Khan O, Hassani MK, Akgül A.   +4 more
europepmc   +1 more source

Design of a novel robust adaptive fractional-order model predictive controller for boost converter using grey wolf optimization algorithm. [PDF]

Sci Rep
Peng C, Ghamari SM, Mollaee H, Rezaei O.
europepmc   +1 more source

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The Fractional Calculus of Variations

2018
In this chapter, we consider general fractional problems of the calculus of variations, where the Lagrangian depends on a combined Caputo fractional derivative of variable fractional order \(^CD_\gamma ^{{\alpha (\cdot ,\cdot )},{\beta (\cdot ,\cdot )}}\) given as a combination of the left and the right Caputo fractional derivatives of orders ...
Ricardo Almeida, Dina Tavares, Delfim F. M. Torres   +2 more
openaire   +1 more source

Fractional variational calculus in terms of Riesz fractional derivatives

Journal of Physics A: Mathematical and Theoretical, 2007
This paper presents extensions of traditional calculus of variations for systems containing Riesz fractional derivatives (RFDs). Specifically, we present generalized Euler–Lagrange equations and the transversality conditions for fractional variational problems (FVPs) defined in terms of RFDs.
openaire   +1 more source

Reflection symmetric formulation of generalized fractional variational calculus

Fractional Calculus and Applied Analysis, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klimek, Małgorzata, Lupa, Maria
openaire   +1 more source