In this paper, we investigate a nonlocal boundary value problem for an equation of special type. For y > 0 it is a fractional diffusion equation, which contains the Riemann-Liouville fractional derivative. For y < 0 it is a generalized equation of moisture transfer. A unique solvability of the considered problem is proved.

中文翻译：

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带分数阶导数的偏微分方程的边值问题

在本文中，我们研究了特殊类型方程的非局部边值问题。对于y> 0，它是一个分数阶扩散方程，其中包含Riemann-Liouville分数阶导数。对于y <0，它是水分传递的广义方程。证明了所考虑问题的独特解决方案。