Fractional q-Difference Inclusions in Banach Spaces

• Published in: Mathematics (Basel) Vol. 8; no. 1; p. 91
• Main Authors: Alqahtani, Badr, Abbas, Saïd, Benchohra, Mouffak, Alzaid, Sara Salem
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.01.2020
• Subjects: Banach spaces; Calculus; fixed point; Fixed points (mathematics); fractional q-difference inclusion; Inclusions; measure of noncompactness; solution

In this paper, we study a class of Caputo fractional q-difference inclusions in Banach spaces. We obtain some existence results by using the set-valued analysis, the measure of noncompactness, and the fixed point theory (Darbo and Mönch’s fixed point theorems). Finally we give an illustrative exampl...