Dissipativity and stability for semilinear anomalous diffusion equations involving delays
Tran Dinh Ke, Lâm Trần Phương Thủy
Abstract
We analyze the dissipativity and stability of solutions to a class of semilinear anomalous diffusion equations involving delays. The existence of absorbing set, the stability, and weak stability will be shown under suitable assumptions on the nonlinearity. Our analysis is based on new Halanay‐type inequality, local estimates, and fixed‐point arguments.
Topics & Concepts
MathematicsStability (learning theory)Nonlinear systemClass (philosophy)DiffusionType (biology)Set (abstract data type)Mathematical analysisApplied mathematicsFixed pointPoint (geometry)GeometryBiologyThermodynamicsComputer scienceMachine learningProgramming languageQuantum mechanicsPhysicsEcologyArtificial intelligenceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisStability and Controllability of Differential Equations