On Boyd-Wong type multivalued contractions and solvability of (k − ~)-Hilfer fractional differential inclusions

Marija Paunovic; Babak Mohammadi; Vahid Parvaneh

doi:10.2478/auom-2024-0023

$On Boyd-Wong type multivalued contractions and solvability of (k − ~)-Hilfer fractional differential inclusions Cover$

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On Boyd-Wong type multivalued contractions and solvability of (k − ~)-Hilfer fractional differential inclusions

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 32 (2024): Issue 2 (June 2024)

By: Marija Paunovic, Babak Mohammadi and Vahid Parvaneh

Open Access

|Jul 2024

Abstract

In this article, we introduce the Boyd-Wong type multivalued contractions and demonstrate that such mappings have a fixed point. Additionally, we look at the solvability of a few (k – ~)-Hilfer initial value fractional differential inclusions of order n − 1 < α < n (n ≥ 2). To demonstrate the usability of our result, an example is provided.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2024-0023 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 127 - 144

Submitted on: Jun 12, 2023

Accepted on: Oct 30, 2023

Published on: Jul 10, 2024

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Boyd-Wong contraction,

multi-valued mapping,

(k − ℓ)-Hilfer initial value fractional differential inclusions

Related subjects:

Mathematics,

General mathematics

© 2024 Marija Paunovic, Babak Mohammadi, Vahid Parvaneh, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 32 (2024): Issue 2 (June 2024)