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The asymptotic behaviour of fractional lattice systems with variable delay

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Abstract The existence and uniqueness of global solutions for a fractional functional differential equation is established. The asymptotic behaviour of a lattice system with a fractional substantial time derivative and… Click to show full abstract

Abstract The existence and uniqueness of global solutions for a fractional functional differential equation is established. The asymptotic behaviour of a lattice system with a fractional substantial time derivative and variable time delays is investigated. The existence of a global attracting set is established. It is shown to be a singleton set under a certain condition on the Lipschitz constant.

Keywords: behaviour fractional; lattice systems; fractional lattice; asymptotic behaviour; behaviour

Journal Title: Fractional Calculus and Applied Analysis
Year Published: 2019

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