Results 51 to 60 of about 74,438 (274)
Space-time duality for fractional diffusion
, 2009 Zolotarev proved a duality result that relates stable densities with different indices. In this paper, we show how Zolotarev duality leads to some interesting results on fractional diffusion.
Allouba +18 more
core +1 more source
Time after time – circadian clocks through the lens of oscillator theory
FEBS Letters, EarlyView.Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source
Applied Mathematics Letters, 2011 The authors consider the equation \[ \frac{d^2u}{dt^2}\,(t)+b \int_{0}^{1} {}^{\pm} {\mathcal E}^{\alpha}_{T}u(t) \phi(\alpha) d \alpha + F(u(t))=0,\quad t\in (0,T],\quad u(0)=u_0,\quad \frac{du}{dt}\,(0)= v_0, \] which is a generalization of mathematical models describing oscillations with fractional damping.
Atanacković, Teodor +3 more
openaire +1 more source
The M-Wright function in time-fractional diffusion processes: a tutorial survey
, 2010 In the present review we survey the properties of a transcendental function of the Wright type, nowadays known as M-Wright function, entering as a probability density in a relevant class of self-similar stochastic processes that we generally refer to as ...
Mainardi, Francesco +2 more
core +2 more sources
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
FEBS Letters, EarlyView.We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
Haar wavelet method for solution of distributed order time-fractional differential equations
Alexandria Engineering Journal, 2021 This manuscript is related to compute approximate solutions for a class of fractional distributed order differential equations (FDODEs). The corresponding derivative of fractional order is taken in Caputo sense.
Rohul Amin +5 more
doaj +1 more source
Fractional Euler-Bernoulli beams: theory, numerical study and experimental validation
, 2015 In this paper the classical Euler-Bernoulli beam (CEBB) theory is reformulated utilising fractional calculus. Such generalisation is called fractional Euler-Bernoulli beams (FEBB) and results in non-local spatial description.
Blaszczyk, Tomasz +2 more
core +1 more source
FEBS Letters, EarlyView.The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +1 more source
A New Fractional Poisson Process Governed by a Recursive Fractional Differential Equation
Fractal and Fractional, 2022 This paper proposes a new fractional Poisson process through a recursive fractional differential governing equation. Unlike the homogeneous Poison process, the Caputo derivative on the probability distribution of k jumps with respect to time is linked to
Zhehao Zhang
doaj +1 more source
FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source