R. P. Agarwal, M. Benchohra, S. Hamani, and S. Pinelas

Upper and Lower Solutions Method for Impulsive Differential Equations Involving the Caputo Fractional Derivative

For impulsive differential equations involving the Caputo fractional derivative, sufficient conditions for the solvability of initial value problem are established using the lower and upper solutions method and Schauder's fixed point theorem.

Mathematics Subject Classification: 26A33, 34A37

Key words and phrases: Initial value problem, fractional differential equations, impulses, Caputo fractional derivative, fractional integral, lower and upper solution, fixed point