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

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.

Keywords

• boyd-wong contraction
• multi-valued mapping
• (k − ℓ)-hilfer initial value fractional differential inclusions
• primary 47h10
• secondary 54h25