Existence Results for Impulsive Fractional Integrodifferential Equations Involving Integral Boundary Conditions

Kulandhaivel Karthikeyan, Jiraporn Reunsumrit, Panjaiyan Karthikeyan, Sadhasivam Poornima, Dhatchinamoorthy Tamizharasan, Thanin Sitthiwirattham and Shabir Ahmad

Mathematical Problems in Engineering, 2022, vol. 2022, 1-12

Abstract: 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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6599849

DOI: 10.1155/2022/6599849

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