Hyers-Ulam-Rassias stability of high-dimensional quaternion impulsive fuzzy dynamic equations on time scales
Chao Wang, Zhien Li, Ravi P. Agarwal
Abstract
<p style='text-indent:20px;'>In this paper, the Hyers-Ulam-Rassias stability of high-dimensional quaternion fuzzy dynamic equations with impulses is first considered on time scales. Some fundamental calculus results of the high-dimensional fuzzy quaternion functions in fuzzy quaternion space are established. Based on it, some sufficient conditions are obtained to guarantee the Hyers-Ulam-Rassias stability of the quaternion impulsive fuzzy dynamic equations in high-dimensional case. Moreover, several examples are provided to show the feasibility of our main results on various types of time scales.</p>
Topics & Concepts
QuaternionFuzzy logicMathematicsStability (learning theory)Dynamic equationApplied mathematicsAlgebra over a fieldPure mathematicsControl theory (sociology)Computer scienceNonlinear systemGeometryArtificial intelligencePhysicsQuantum mechanicsMachine learningControl (management)Fuzzy Systems and OptimizationFunctional Equations Stability ResultsFixed Point Theorems Analysis