Existence Results for Impulsive Fractional Integrodifferential Equations Involving Integral Boundary Conditions

This research paper is devoted to investigating the existence results for impulsive fractional integrodifferential equations in the form of Atangana - Baleanu - Caputo (ABC) fractional derivative, by using Gronwall–Bellman inequality and Krasnoselskii’s fixed point theorem to study the existence and...

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Bibliographic Details
Published in:Mathematical problems in engineering 2022-09, Vol.2022, p.1-12
Main Authors: Karthikeyan, Kulandhaivel, Reunsumrit, Jiraporn, Karthikeyan, Panjaiyan, Poornima, Sadhasivam, Tamizharasan, Dhatchinamoorthy, Sitthiwirattham, Thanin
Format: Article
Language:English
Subjects:
Banach spaces
Boundary conditions
Boundary value problems
Coronaviruses
COVID-19
Disease transmission
Existence theorems
Fixed points (mathematics)
Integral equations
Mathematical analysis
Mathematical models
Mathematical problems
Scientific papers
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Summary:This research paper is devoted to investigating the existence results for impulsive fractional integrodifferential equations in the form of Atangana - Baleanu - Caputo (ABC) fractional derivative, by using Gronwall–Bellman inequality and Krasnoselskii’s fixed point theorem to study the existence and uniqueness of the problem with integral boundary conditions. At the end, the examples are illustrated to verify results.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/6599849