Results on Atangana-Baleanu fractional semilinear neutral delay integro-differential systems in Banach space

Yong Ki Ma; W. Kavitha Williams; V. Vijayakumar; Kottakkaran Sooppy Nisar; Anurag Shukla

doi:10.1016/j.jksus.2022.102158

Results on Atangana-Baleanu fractional semilinear neutral delay integro-differential systems in Banach space

Yong Ki Ma
, W. Kavitha Williams
, V. Vijayakumar
, Kottakkaran Sooppy Nisar
, Anurag Shukla

Mathematics

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

15 Scopus citations

Abstract

The main focus of this manuscript is centered around Atangana-Baleanu semilinear neutral fractional integro-differential equations with finite delay. The main outcomes are demonstrated using the Mönch fixed point theorem along with its results when the measure of non-compactness collaborates. Eventually, a demonstration example is proposed.

Original language	English
Article number	102158
Journal	Journal of King Saud University - Science
Volume	34
Issue number	6
DOIs	https://doi.org/10.1016/j.jksus.2022.102158
State	Published - Aug 2022

Keywords

A-B derivative
Existence
Fixed point theorem
Fractional derivatives and integrals
Mild solutions
Semigroup theory

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10.1016/j.jksus.2022.102158

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abstract = "The main focus of this manuscript is centered around Atangana-Baleanu semilinear neutral fractional integro-differential equations with finite delay. The main outcomes are demonstrated using the M{\"o}nch fixed point theorem along with its results when the measure of non-compactness collaborates. Eventually, a demonstration example is proposed.",

keywords = "A-B derivative, Existence, Fixed point theorem, Fractional derivatives and integrals, Mild solutions, Semigroup theory",

author = "Ma, \{Yong Ki\} and \{Kavitha Williams\}, W. and V. Vijayakumar and Nisar, \{Kottakkaran Sooppy\} and Anurag Shukla",

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AU - Vijayakumar, V.

AU - Nisar, Kottakkaran Sooppy

AU - Shukla, Anurag

PY - 2022/8

Y1 - 2022/8

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AB - The main focus of this manuscript is centered around Atangana-Baleanu semilinear neutral fractional integro-differential equations with finite delay. The main outcomes are demonstrated using the Mönch fixed point theorem along with its results when the measure of non-compactness collaborates. Eventually, a demonstration example is proposed.

KW - A-B derivative

KW - Existence

KW - Fixed point theorem

KW - Fractional derivatives and integrals

KW - Mild solutions

KW - Semigroup theory

UR - https://www.scopus.com/pages/publications/85133169921

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DO - 10.1016/j.jksus.2022.102158

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ER -

Results on Atangana-Baleanu fractional semilinear neutral delay integro-differential systems in Banach space

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Keywords

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