Derives exact propagator via generating functions for age-dependent switching particles and reports marginal CLT breakdown with Var(x_T) scaling as T²/log T at a=1.
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Uniqueness of Caputo order from late-time Mittag-Leffler observations via resolvent moments and monotonicity, plus asymptotic log-ratio estimator from two times.
Logarithmic centroid method recovers adiabatic Kramers scaling in coherence resonance for SRK model with Feller noise despite bathtub effect, identifies strong-noise breakdown, and demonstrates noise-induced transition to functional synchronization in gap-junction coupled systems.
A stable and convergent finite element scheme is developed for the variable-order time-fractional incompressible MHD equations, with experiments showing the impact of variable orders on energy and enstrophy.
Numerical modeling of time-dependent cosmic-ray advection and diffusion in spherically symmetric wind bubbles shows escaping spectra harder than E^{-2} during the wind-driven phase, with low-energy suppression depending on the turbulence model.
Three one-parameter regularization operator families with a new selection rule and error bounds are proposed to stably identify the unknown source from noisy data in the time-fractional equation.
Hadronic proton-proton interactions in a superdiffusive one-zone model with proton luminosity 0.14 of spin-down power and diffusion index 1.05 reproduce the 7-200 TeV gamma-ray spectrum from PSR J0622+3749 halo at ambient density 1 cm^{-3}.
SEIR model on Watts-Strogatz networks exhibits exponential infected growth if latency time is less than infection time and oscillatory dynamics otherwise.
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