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

Paunovic, Marija; Mohammadi, Babak; Parvaneh, Vahid

doi:10.2478/auom-2024-0023

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

Abstract

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