The paper studies a first boundary value problem for a loaded diffusion equation involving the Riemann–Liouville fractional derivative. A loaded term depending on the integral of the unknown solution with respect to xxx is added to the right-hand side of the diffusion equation. Using the Green...

This paper examines a boundary value problem for a loaded differential equation with Riemann–Liouville fractional derivatives and integral gluing conditions. By reducing the problem to a system of integral and fractional equations, conditions ensuring existence and uniqueness of the solution are...