We investigate the existence and uniqueness of solutions of hyperbolic fractional order differential equations with state-dependent delay by using a nonlinear alternative of Leray-Schauder type due to Frigon and Granas for contraction maps on Fréchet spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap110-3-4, author = {Mouffak Benchohra and Mohamed Hellal}, title = {Global uniqueness results for fractional partial hyperbolic differential equations with state-dependent delay}, journal = {Annales Polonici Mathematici}, volume = {111}, year = {2014}, pages = {259-281}, zbl = {1301.35197}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap110-3-4} }
Mouffak Benchohra; Mohamed Hellal. Global uniqueness results for fractional partial hyperbolic differential equations with state-dependent delay. Annales Polonici Mathematici, Tome 111 (2014) pp. 259-281. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap110-3-4/