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On the Existence and Stability of Integral Manifolds for Fractional Functional Differential Systems

Gani Stamov, Ivanka Stamova

Abstract


In this paper we consider a nonlinear functional differential systems of Caputo fractional order. Criteria for existence and stability of integral manifolds are established for the above systems using Lyapunov functions and a new fractional comparison principle.

Keywords


Fractional functional differential systems; Integral manifolds; Stability; Lyapunov method

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DOI: http://dx.doi.org/10.14510%2Flm-ns.v0i0.1336