标题： 趋化作用中分数阶扩散方程的宏观边界条件 显示英文标题

标题： Macroscopic boundary conditions for a fractional diffusion equation in chemotaxis

摘要： 本文研究了从描述细胞响应化学梯度（趋化性）运动的动能输运模型推导出的分数阶趋化方程中的边界效应。具体而言，我们在非局部分数框架内分析反射边界条件。利用边界层方法和摄动理论，在对称反射条件下，我们推导出口部和边界层解的一阶近似。这项工作为分数动力学、趋化输运现象与边界相互作用之间的复杂相互作用提供了基本见解，为涉及非局域过程的生物和物理应用的未来研究开辟了道路。 显示英文摘要

摘要： In this paper we examine boundary effects in a fractional chemotactic equation derived from a kinetic transport model describing cell movement in response to chemical gradients (chemotaxis). Specifically, we analyze reflecting boundary conditions within a nonlocal fractional framework. Using boundary layer methods and perturbation theory, we derive first-order approximations for interior and boundary layer solutions under symmetric reflection conditions. This work provides fundamental insights into the complex interplay between fractional dynamics, chemotactic transport phenomena, and boundary interactions, opening future research in biological and physical applications involving nonlocal processes.