The asymptotic behaviour of fractional lattice systems with variable delay

DOI10.1515/FCA-2019-0038zbMath1428.34116OpenAlexW2965756237WikidataQ127409437 ScholiaQ127409437MaRDI QIDQ2328631

Linfang Liu, Peter E. Kloeden, Tomás Caraballo Garrido

Publication date: 10 October 2019

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/handle//11441/88958

zbMATH Keywords

Leray-Schauder theoremvariable delayfractional substantial derivativeglobal attracting setsfractional lattice systems

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37) Lattice functional-differential equations (34K31)

Related Items (3)

A two-dimensional stochastic fractional non-local diffusion lattice model with delays ⋮ Well-posedness and dynamics of double time-delayed lattice FitzHugh–Nagumo systems ⋮ Some types of Carathéodory scheme for Caputo stochastic fractional differential equations in \(L^p\) spaces

Cites Work

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• On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems
• Fixed point theorems for nonlinear operators
• Numerical algorithms for the forward and backward fractional Feynman-Kac equations
• Stochastic Volatility for Lévy Processes
• Discretized fractional substantial calculus
• High Order Algorithms for the Fractional Substantial Diffusion Equation with Truncated Lévy Flights
• Tempered Fractional Sturm--Liouville EigenProblems
• ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS

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