Global uniqueness results for fractional partial hyperbolic differential equations with state-dependent delay
Volume 110 / 2014
Annales Polonici Mathematici 110 (2014), 259-281
MSC: Primary 26A33; Secondary 34K30, 34K37, 35R11.
DOI: 10.4064/ap110-3-4
Abstract
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.