The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses
Saïd Abbas, Mouffak Benchohra (2010)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we use the upper and lower solutions method to investigate the existence of solutions of a class of impulsive partial hyperbolic differential inclusions at fixed moments of impulse involving the Caputo fractional derivative. These results are obtained upon suitable fixed point theorems.