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Discussion on the controllability results for fractional neutral impulsive Atangana–Baleanu delay integro‐differential systems

W. Kavitha Williams, V. Vijayakumar

2021Mathematical Methods in the Applied Sciences19 citationsDOI

Abstract

This manuscript is mainly focusing on the existence of Atangana–Baleanu semilinear fractional integro‐differential equations with noninstantaneous impulses. The outcomes are proved via Darbo's fixed point theorem and their results when combined with the properties of the measure of noncompactness. Finally, we present a theoretical application to support the validity of the study.

Topics & Concepts

ControllabilityMathematicsFixed-point theoremMathematical analysisMeasure (data warehouse)Applied mathematicsDifferential equationComputer scienceDatabaseNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsStability and Controllability of Differential Equations
Discussion on the controllability results for fractional neutral impulsive Atangana–Baleanu delay integro‐differential systems | Litcius