Controllability analysis for impulsive integro‐differential equation via Atangana–Baleanu fractional derivative
K. Kaliraj, E. Thilakraj, C. Ravichandran, Kottakkaran Sooppy Nisar
Abstract
In this work, we analyze the controllability for a certain classes of impulsive integro‐differential equations (IIDEs) of fractional order via Atangana Baleanu derivative involving finite delay with initial and nonlocal conditions using Banach fixed point theorem.
Topics & Concepts
MathematicsControllabilityFractional calculusFixed-point theoremDerivative (finance)Differential equationMathematical analysisWork (physics)Banach spaceOrder (exchange)Applied mathematicsIntegro-differential equationFirst-order partial differential equationFinancial economicsEconomicsEngineeringFinanceMechanical engineeringFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisNumerical methods for differential equations