<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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 (<italic>k – ~</italic>)-Hilfer initial value fractional differential inclusions of order <italic>n −</italic> 1 <italic>&lt; α &lt; n</italic> (<italic>n</italic> ≥ 2). To demonstrate the usability of our result, an example is provided.</p>
</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.

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

University of Kragujevac, Faculty of Hotel Management and Tourism

University MB, Faculty of Business and Law

Department of Mathematics, Gilan-E-Gharb Branch

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

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...

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

Published Online: Jul 10, 2024

Page range: 127 - 144

Received: Jun 12, 2023

Accepted: Oct 30, 2023

DOI: https://doi.org/10.2478/auom-2024-0023

Keywords
Boyd-Wong contraction, multi-valued mapping, ()-Hilfer initial value fractional differential inclusions

© 2024 Marija Paunovic et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Jul 10, 2024

Page range: 127 - 144

Received: Jun 12, 2023

Accepted: Oct 30, 2023

DOI: https://doi.org/10.2478/auom-2024-0023

KeywordsBoyd-Wong contraction, multi-valued mapping, ()-Hilfer initial value fractional differential inclusions

© 2024 Marija Paunovic et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Boyd-Wong contraction, multi-valued mapping, ()-Hilfer initial value fractional differential inclusions