Displaying similar documents to “Global uniqueness results for fractional order partial hyperbolic functional differential equations.”

A global uniqueness result for fractional order implicit differential equations

Said Abbas, Mouffak Benchohra (2012)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we investigate the global existence and uniqueness of solutions for the initial value problems (IVP for short), for a class of implicit hyperbolic fractional order differential equations by using a nonlinear alternative of Leray-Schauder type for contraction maps on Fréchet spaces.