Asymptotic Boundedness of Conformable Fractional Delay Differential Systems
Danhua He, Baizeng Bao, Hongxiao Hu, Liguang Xu
Abstract
This brief focuses on the problem of asymptotic boundedness for non-autonomous conformable fractional delay differential systems. Firstly, by utilizing the definition of conformable fractional derivative and fractional comparison principle, we propose non-autonomous conformable fractional Halanay inequalities. And then, based on the Halanay inequalities, sufficient conditions for the asymptotic boundedness are constructed for the systems. Finally, a numerical example shows the applicability of the proposed technique.
Topics & Concepts
Conformable matrixMathematicsFractional calculusApplied mathematicsDifferential (mechanical device)Mathematical analysisEngineeringPhysicsAerospace engineeringQuantum mechanicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisProbabilistic and Robust Engineering Design