Fractional q-Difference Inclusions in Banach Spaces

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...

Full description

Saved in:
Bibliographic Details
Published inMathematics (Basel) Vol. 8; no. 1; p. 91
Main Authors Alqahtani, Badr, Abbas, Saïd, Benchohra, Mouffak, Alzaid, Sara Salem
Format Journal Article
LanguageEnglish
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
Online AccessGet full text

Cover

More Information
Summary: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 example in the last section. We initiate the study of fractional q-difference inclusions on infinite dimensional Banach spaces.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8010091