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Creators/Authors contains: "Yang, Zhiwei"

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  1. ; ; ; (, Computers & Mathematics with Applications)
    Free, publicly-accessible full text available April 1, 2026
  2. ; ; (, Applied Mathematics Letters)
    Full Text Available 
  3. ; ; ; ; ; ; ; ; (, Optics & Laser Technology)
    Free, publicly-accessible full text available December 1, 2025
  4. ; ; ; ; (, Advanced Materials)
    Diatom Cribellum-Inspired Hierarchical Metamaterials The cribellum layer of diatom skeleton, termed frustule, features a hierarchical porous structure on the nanoscale. In article number 2403304 by Xin Zhang and co-workers, diatom cribellum inspired hierarchical metamaterials are presented to integrate the perfect absorption and subwavelength color printing. These diatom cribellum-inspired metamaterials offer a fresh perspective on multifunctional metamaterial design, promising scalability production by utilizing the frustule as a template for nanopatterning or bio-template synthesis. 
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  5. ; ; ; (, SIAM Journal on Scientific Computing)
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  6. ; ; ; ; (, Fractal and Fractional)
    We establish both the uniqueness and the existence of the solutions to a hidden-memory variable-order fractional stochastic partial differential equation, which models, e.g., the stochastic motion of a Brownian particle within a viscous liquid medium varied with fractal dimensions. We also investigate the inverse problem concerning the observations of the solutions, which eliminates the analytic assumptions on the variable orders in the literature of this topic and theoretically guarantees the reliability of the determination and experimental inference. 
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  7. ; ; ; (, East Asian Journal on Applied Mathematics)
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  8. ; ; ; (, East Asian Journal on Applied Mathematics)
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  9. ; ; (, Fractals)
    Ultraslow diffusion describes the long-time diffusion of particles whose mean square displacement (MSD) grows logarithmically in time. We prove the well-posedness of a Caputo–Hadamard time-fractional diffusion model in multiple space dimensions, in which the MSD in time grows logarithmically and thus provides adequate descriptions for the ultraslow diffusion processes, as well as the smoothing properties of the solutions. 
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  10. ; (, Mathematical Methods in the Applied Sciences)
    We prove the well‐posedness and smoothing properties of a distributed‐order time‐fractional diffusion equation with a singular density function in multiple space dimensions, which could model the ultraslow subdiffusion processes. We accordingly derive a finite element approximation to the problem and prove its optimal‐order error estimate. Numerical results are presented to support the mathematical and numerical analysis. 
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