Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

Article Title

The method of potentials for the Airy equation of fractional order


In this work initial-boundary value problems for time-fractional Airy equation are considered on the different intervals. We studied properties of potentials for this equation and using these properties found the solutions of the considered problems. The uniqueness of problems proved using the analogue of Grö nwall–Bellman inequality and apriory estimate.