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<p>This study presents an innovative methodology for examining the photothermal dynamics in viscoelastic semiconductor materials featuring cylindrical cavities, employing a fractional adaptation of the Kelvin–Voigt model. By incorporating the generalized Mittag–Lefflerfunction and the nonlocal, non-singular Goufo–Caputo fractional operator, the research explores the conversion of light energy into thermal energy through absorption processes. The framework is based on the Moore–Gibson–Thompson equation and integrates the Guyer–Krumhansl nonlocal thermal length-scale concept to offer a robust model for intertwined thermal, mechanical, and optical phenomena. The investigation assesses the influences of fractional parameters, nonlocality, and viscoelastic properties on photothermal wave propagation. Findings underscore the promise of developing sophisticated optically absorbent nanostructures, which are essential for improving photothermal energy production and thermal management technologies. Furthermore, a comparative evaluation of adapted local and nonlocal photoelasticity models reveals distinctive characteristics of semiconducting materials, providing key insights into their thermomechanical interactions and opening avenues for novel advancements in energy systems, nanotechnology, and materials science.</p>

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Fractional nonlocal viscoelastic photothermal analysis of unbounded semiconductor media with cylindrical cavities using the non-singular Goufo–Caputo operator

  • 期刊论文

  • 发表日期：

    2026年2月14日

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  • Yazeed Alhassan,
  • Ahmed E. Abouelregal,
  • Mohamed E. Elzayady

摘要

This study presents an innovative methodology for examining the photothermal dynamics in viscoelastic semiconductor materials featuring cylindrical cavities, employing a fractional adaptation of the Kelvin–Voigt model. By incorporating the generalized Mittag–Lefflerfunction and the nonlocal, non-singular Goufo–Caputo fractional operator, the research explores the conversion of light energy into thermal energy through absorption processes. The framework is based on the Moore–Gibson–Thompson equation and integrates the Guyer–Krumhansl nonlocal thermal length-scale concept to offer a robust model for intertwined thermal, mechanical, and optical phenomena. The investigation assesses the influences of fractional parameters, nonlocality, and viscoelastic properties on photothermal wave propagation. Findings underscore the promise of developing sophisticated optically absorbent nanostructures, which are essential for improving photothermal energy production and thermal management technologies. Furthermore, a comparative evaluation of adapted local and nonlocal photoelasticity models reveals distinctive characteristics of semiconducting materials, providing key insights into their thermomechanical interactions and opening avenues for novel advancements in energy systems, nanotechnology, and materials science.