An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain

Kottakkaran Sooppy Nisar; K. Jothimani; K. Kaliraj; C. Ravichandran

doi:10.1016/j.chaos.2021.110915

An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain

Kottakkaran Sooppy Nisar
, K. Jothimani
, K. Kaliraj
, C. Ravichandran

Mathematics

Anna University
University of Madras
Bharathiar University

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

90 Scopus citations

Abstract

In this article, the controllability results of the non-dense Hilfer neutral fractional derivative (HNFD) are presented. The results are acknowledged using semigroup theory, fractional calculus, Banach contraction principle, and Mönch technique. Moreover, a numerical analysis is given to enhance our model.

Original language	English
Article number	110915
Journal	Chaos, Solitons and Fractals
Volume	146
DOIs	https://doi.org/10.1016/j.chaos.2021.110915
State	Published - May 2021

Keywords

Banach space
Controllability
Fixed point
Fractional differential equations
Hilfer derivative
Non-dense domain

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10.1016/j.chaos.2021.110915

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title = "An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain",

abstract = "In this article, the controllability results of the non-dense Hilfer neutral fractional derivative (HNFD) are presented. The results are acknowledged using semigroup theory, fractional calculus, Banach contraction principle, and M{\"o}nch technique. Moreover, a numerical analysis is given to enhance our model.",

keywords = "Banach space, Controllability, Fixed point, Fractional differential equations, Hilfer derivative, Non-dense domain",

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AU - Nisar, Kottakkaran Sooppy

AU - Jothimani, K.

AU - Kaliraj, K.

AU - Ravichandran, C.

PY - 2021/5

Y1 - 2021/5

N2 - In this article, the controllability results of the non-dense Hilfer neutral fractional derivative (HNFD) are presented. The results are acknowledged using semigroup theory, fractional calculus, Banach contraction principle, and Mönch technique. Moreover, a numerical analysis is given to enhance our model.

AB - In this article, the controllability results of the non-dense Hilfer neutral fractional derivative (HNFD) are presented. The results are acknowledged using semigroup theory, fractional calculus, Banach contraction principle, and Mönch technique. Moreover, a numerical analysis is given to enhance our model.

KW - Banach space

KW - Controllability

KW - Fixed point

KW - Fractional differential equations

KW - Hilfer derivative

KW - Non-dense domain

UR - https://www.scopus.com/pages/publications/85103787277

U2 - 10.1016/j.chaos.2021.110915

DO - 10.1016/j.chaos.2021.110915

M3 - Article

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SN - 0960-0779

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 110915

ER -

An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain

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Keywords

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