Controllability results of fractional integro-differential equation with non-instantaneous impulses on time scales
Vipin Kumar, Muslim Malik
Abstract
Abstract In this work, we investigate the controllability results of a fractional integro-differential equation with non-instantaneous impulses on time scales. Banach contraction theorem and the non-linear functional analysis have been used to establish these results. In support, a numerical example with simulation for different time scales is given to validate the obtained analytical outcomes.
Topics & Concepts
ControllabilityMathematicsIntegro-differential equationContraction (grammar)Differential equationApplied mathematicsContraction mappingMathematical analysisWork (physics)Banach spaceFirst-order partial differential equationFixed-point theoremPhysicsMedicineThermodynamicsInternal medicineFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisNumerical methods for differential equations