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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1116, author = {Sa\"\i d Abbas and Mouffak Benchohra}, title = {The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses}, journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization}, volume = {30}, year = {2010}, pages = {141-161}, zbl = {1203.26005}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1116} }
Saïd Abbas; Mouffak Benchohra. The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 30 (2010) pp. 141-161. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1116/
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