The l-Problem of Moments for One-Dimensional Integro-Differential Equations with Erdélyi–Kober Operators

Abstract—The l-problem of moments for one-dimensional linear equations that contain Erdélyi–Kober differential and integral operators of fractional order is investigated. Conditions are derived that determine the possibility of stating the problem and its solvability. Explicit analytical solutions of the l-problem of moments are obtained in some cases.