An analysis on approximate controllability of Atangana-Baleanu fractional semilinear control systems

Williams Kavitha Williams; Velusamy Vijayakumar; Anurag Shukla; Kottakkaran Sooppy Nisar

doi:10.1515/ijnsns-2021-0371

An analysis on approximate controllability of Atangana-Baleanu fractional semilinear control systems

Williams Kavitha Williams
, Velusamy Vijayakumar
, Anurag Shukla
, Kottakkaran Sooppy Nisar

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The article deals with the approximate controllability of Atangana-Baleanu semilinear control systems. The outcomes are derived by applying Gronwall's inequality and Cauchy sequence, and avoid the use of the fixed point theorem. We have also included an example for the validation of theoretical results.

Original language	English
Pages (from-to)	2627-2638
Number of pages	12
Journal	International Journal of Nonlinear Sciences and Numerical Simulation
Volume	24
Issue number	7
DOIs	https://doi.org/10.1515/ijnsns-2021-0371
State	Published - 1 Nov 2023

Keywords

approximate controllability
Atangana-Baleanu fractional system
Cauchy sequence
Gronwall's inequality
Lipschitz continuity

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10.1515/ijnsns-2021-0371

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abstract = "The article deals with the approximate controllability of Atangana-Baleanu semilinear control systems. The outcomes are derived by applying Gronwall's inequality and Cauchy sequence, and avoid the use of the fixed point theorem. We have also included an example for the validation of theoretical results.",

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AU - Nisar, Kottakkaran Sooppy

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KW - approximate controllability

KW - Atangana-Baleanu fractional system

KW - Cauchy sequence

KW - Gronwall's inequality

KW - Lipschitz continuity

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An analysis on approximate controllability of Atangana-Baleanu fractional semilinear control systems

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Keywords

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