Boundary value problems governed by superdiffusion in the right angle: existence and regularity (Q1728867)

Summary: For \(\alpha \in(1,2)\), we analyze a stationary superdiffusion equation in the right angle in the unknown \(u = u(x_1, x_2)\): \(\mathbf{D}_{x_1}^\alpha u + \mathbf{D}_{x_2}^\alpha u = f(x_1, x_2),\) where \(\mathbf{D}_x^\alpha\) is the Caputo fractional derivative. The classical solvability in the weighted fractional Hölder classes of the associated boundary problems is addressed.