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.

Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations

Xuezhu Li, Milan Medveď, Jin Rong Wang (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this paper, generalized boundary value problems for nonlinear fractional Langevin equations is studied. Some new existence results of solutions in the balls with different radius are obtained when the nonlinear term satisfies nonlinear Lipschitz and linear growth conditions. Finally, two examples are given to illustrate the results.