RESULTS ON CONTROLLABILITY OF NON-DENSELY CHARACTERIZED NEUTRAL FRACTIONAL DELAY DIFFERENTIAL SYSTEM

Kasthurisamy Jothimani; Kalimuthu Kaliraj; Sumati Kumari Panda; Kotakkaran Sooppy Nisar; Chokkalingam Raviohandran

doi:10.3934/eect.2020083

RESULTS ON CONTROLLABILITY OF NON-DENSELY CHARACTERIZED NEUTRAL FRACTIONAL DELAY DIFFERENTIAL SYSTEM

Kasthurisamy Jothimani
, Kalimuthu Kaliraj
, Sumati Kumari Panda
, Kotakkaran Sooppy Nisar
, Chokkalingam Raviohandran

Mathematics

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

52 Scopus citations

Abstract

This work establishes the controllability of nondense fractional neutral delay differential equation under Hille-Yosida condition in Banach space. The outcomes are derived with the aid of fractional calculus theory, semigroup operator theory and Schauder fixed point theorem. Theoretical results are verified through illustration.

Original language	English
Pages (from-to)	619-631
Number of pages	13
Journal	Evolution Equations and Control Theory
Volume	10
Issue number	3
DOIs	https://doi.org/10.3934/eect.2020083
State	Published - Sep 2021

Keywords

Controllability
Fractional differential equation
Hille-Yosida condition
Integral solution
Semigroup theory

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abstract = "This work establishes the controllability of nondense fractional neutral delay differential equation under Hille-Yosida condition in Banach space. The outcomes are derived with the aid of fractional calculus theory, semigroup operator theory and Schauder fixed point theorem. Theoretical results are verified through illustration.",

keywords = "Controllability, Fractional differential equation, Hille-Yosida condition, Integral solution, Semigroup theory",

author = "Kasthurisamy Jothimani and Kalimuthu Kaliraj and Panda, \{Sumati Kumari\} and Nisar, \{Kotakkaran Sooppy\} and Chokkalingam Raviohandran",

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AU - Panda, Sumati Kumari

AU - Nisar, Kotakkaran Sooppy

AU - Raviohandran, Chokkalingam

PY - 2021/9

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KW - Controllability

KW - Fractional differential equation

KW - Hille-Yosida condition

KW - Integral solution

KW - Semigroup theory

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DO - 10.3934/eect.2020083

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RESULTS ON CONTROLLABILITY OF NON-DENSELY CHARACTERIZED NEUTRAL FRACTIONAL DELAY DIFFERENTIAL SYSTEM

Abstract

Keywords

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