Solutions to fractional neutral delay differential nonlocal systems

N. Valliammal; C. Ravichandran; Kottakkaran Sooppy Nisar

doi:10.1016/j.chaos.2020.109912

Solutions to fractional neutral delay differential nonlocal systems

N. Valliammal
, C. Ravichandran
, Kottakkaran Sooppy Nisar

Mathematics

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

56 Scopus citations

Abstract

The study of neutral fractional delay system governed by nonlocal conditions is presented and proved. With the aid of fractional theory, noncompact measure and Mönch's technique, we established some sufficient conditions to confirm the existence of neutral delay differential system. An illustration of derived results is also offered.

Original language	English
Article number	109912
Journal	Chaos, Solitons and Fractals
Volume	138
DOIs	https://doi.org/10.1016/j.chaos.2020.109912
State	Published - Sep 2020

Keywords

Delay
Mönch fixed point theorem
Neutral equations
Noncompact measure

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10.1016/j.chaos.2020.109912

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title = "Solutions to fractional neutral delay differential nonlocal systems",

abstract = "The study of neutral fractional delay system governed by nonlocal conditions is presented and proved. With the aid of fractional theory, noncompact measure and M{\"o}nch's technique, we established some sufficient conditions to confirm the existence of neutral delay differential system. An illustration of derived results is also offered.",

keywords = "Delay, M{\"o}nch fixed point theorem, Neutral equations, Noncompact measure",

author = "N. Valliammal and C. Ravichandran and Nisar, \{Kottakkaran Sooppy\}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2020",

month = sep,

doi = "10.1016/j.chaos.2020.109912",

language = "English",

volume = "138",

journal = "Chaos, Solitons and Fractals",

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T1 - Solutions to fractional neutral delay differential nonlocal systems

AU - Valliammal, N.

AU - Ravichandran, C.

AU - Nisar, Kottakkaran Sooppy

PY - 2020/9

Y1 - 2020/9

N2 - The study of neutral fractional delay system governed by nonlocal conditions is presented and proved. With the aid of fractional theory, noncompact measure and Mönch's technique, we established some sufficient conditions to confirm the existence of neutral delay differential system. An illustration of derived results is also offered.

AB - The study of neutral fractional delay system governed by nonlocal conditions is presented and proved. With the aid of fractional theory, noncompact measure and Mönch's technique, we established some sufficient conditions to confirm the existence of neutral delay differential system. An illustration of derived results is also offered.

KW - Delay

KW - Mönch fixed point theorem

KW - Neutral equations

KW - Noncompact measure

UR - https://www.scopus.com/pages/publications/85086138885

U2 - 10.1016/j.chaos.2020.109912

DO - 10.1016/j.chaos.2020.109912

M3 - Article

AN - SCOPUS:85086138885

SN - 0960-0779

VL - 138

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 109912

ER -

Solutions to fractional neutral delay differential nonlocal systems

Abstract

Keywords

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