An interpretation on controllability of Hilfer fractional derivative with nondense domain

C. Ravichandran; K. Jothimani; Kottakkaran Sooppy Nisar; Emad E. Mahmoud; Ibrahim S. Yahia

doi:10.1016/j.aej.2022.03.011

An interpretation on controllability of Hilfer fractional derivative with nondense domain

C. Ravichandran
, K. Jothimani
, Kottakkaran Sooppy Nisar
, Emad E. Mahmoud
, Ibrahim S. Yahia

Mathematics

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

50 Scopus citations

Abstract

Controllability results of Hilfer delay fractional derivative(HDFD) with nondense operator have been articulated in this article. Primary discussions were made on the existence of mild solution using the Banach contraction principle and continued with controllability results by Darbo-Sadavoskii fixed point theorem. Obtained results enhanced via the numerical approximation with the graphical approach.

Original language	English
Pages (from-to)	9941-9948
Number of pages	8
Journal	Alexandria Engineering Journal
Volume	61
Issue number	12
DOIs	https://doi.org/10.1016/j.aej.2022.03.011
State	Published - Dec 2022

Keywords

Banach space
Controllability
Fixed point
Hilfer fractional derivative
Nondense domain

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10.1016/j.aej.2022.03.011

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title = "An interpretation on controllability of Hilfer fractional derivative with nondense domain",

abstract = "Controllability results of Hilfer delay fractional derivative(HDFD) with nondense operator have been articulated in this article. Primary discussions were made on the existence of mild solution using the Banach contraction principle and continued with controllability results by Darbo-Sadavoskii fixed point theorem. Obtained results enhanced via the numerical approximation with the graphical approach.",

keywords = "Banach space, Controllability, Fixed point, Hilfer fractional derivative, Nondense domain",

author = "C. Ravichandran and K. Jothimani and Nisar, \{Kottakkaran Sooppy\} and Mahmoud, \{Emad E.\} and Yahia, \{Ibrahim S.\}",

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AU - Ravichandran, C.

AU - Jothimani, K.

AU - Nisar, Kottakkaran Sooppy

AU - Mahmoud, Emad E.

AU - Yahia, Ibrahim S.

PY - 2022/12

Y1 - 2022/12

N2 - Controllability results of Hilfer delay fractional derivative(HDFD) with nondense operator have been articulated in this article. Primary discussions were made on the existence of mild solution using the Banach contraction principle and continued with controllability results by Darbo-Sadavoskii fixed point theorem. Obtained results enhanced via the numerical approximation with the graphical approach.

AB - Controllability results of Hilfer delay fractional derivative(HDFD) with nondense operator have been articulated in this article. Primary discussions were made on the existence of mild solution using the Banach contraction principle and continued with controllability results by Darbo-Sadavoskii fixed point theorem. Obtained results enhanced via the numerical approximation with the graphical approach.

KW - Banach space

KW - Controllability

KW - Fixed point

KW - Hilfer fractional derivative

KW - Nondense domain

UR - https://www.scopus.com/pages/publications/85127167285

U2 - 10.1016/j.aej.2022.03.011

DO - 10.1016/j.aej.2022.03.011

M3 - Article

AN - SCOPUS:85127167285

SN - 1110-0168

VL - 61

SP - 9941

EP - 9948

JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

IS - 12

ER -

An interpretation on controllability of Hilfer fractional derivative with nondense domain

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Keywords

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