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

Agarwal, R.P.; Benchohra, M.; Hamani, S.; Pinelas, Sandra

Memoirs on Differential Equations and Mathematical Physics, 53 (2011), 1-12
http://www.emis.de/journals/MDEMP/vol53/abs53-1.htm

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.