The use of thermal conduction models, particularly the double-phase lag thermal wave model, is vital for improving thermal therapies in biological tissues. However, existing models have limitations that hinder their practical application. This paper introduces a modified Pennes fractional thermal equation for biological heat transfer that integrates the double-phase lag concept and the fractional Atangana-Baleanu operator with a non-singular kernel. The model’s predictions were validated against measured temperature responses of laser-irradiated skin tissue and compared to established models. A one-dimensional layer of human skin tissue was analyzed using the Laplace transform method, with graphical results for each scenario. The comparative analysis showed that the AB fractional model outperforms other fractional models in capturing memory effects related to temperature variations and accurately models thermal interactions in living tissues while considering time delays. These findings highlight the model’s potential to improve the design and optimization of thermal therapies in clinical practice.

使用热传导模型，尤其是双相滞后热波模型，对于改进生物组织的热疗法至关重要。然而，现有模型存在阻碍其实际应用的局限性。本文介绍了一种改进的生物传热 Pennes 分数热方程，该方程集成了双相滞后概念和带有非奇异核的分数阶 Atangana-Baleanu 算子。该模型的预测根据激光照射皮肤组织的测量温度响应进行了验证，并与已建立的模型进行了比较。使用拉普拉斯变换方法分析人体皮肤组织的一维层，并为每个场景提供图形结果。比较分析表明，AB 分数模型在捕获与温度变化相关的记忆效应方面优于其他分数模型，并在考虑时间延迟的同时准确模拟了活组织中的热相互作用。这些发现突出了该模型在临床实践中改进热疗设计和优化的潜力。