Existence and total controllability results of fuzzy delay differential equation with non-instantaneous impulses
Anil Kumar, Muslim Malik, Kottakkaran Sooppy Nisar
Abstract
In this work, we consider a fuzzy delay differential system with non-instantaneous impulses and investigate the existence, uniqueness and total controllability results. Non-linear functional analysis, Banach fixed point theorem and fuzzy theory are the main techniques to establish these results. In support, an example is given to validate the obtained analytical outcomes.
Topics & Concepts
ControllabilityMathematicsUniquenessFuzzy logicControl theory (sociology)Banach fixed-point theoremDifferential equationApplied mathematicsWork (physics)Banach spaceFixed-point theoremFuzzy control systemMathematical analysisControl (management)Computer sciencePhysicsArtificial intelligenceThermodynamicsFuzzy Systems and OptimizationNonlinear Differential Equations AnalysisFractional Differential Equations Solutions