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Open AccessArticle

Fractional q-Difference Inclusions in Banach Spaces

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Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Department of Mathematics, Tahar Moulay University of Saïda, P.O. Box 138, EN-Nasr, 20000 Saïda, Algeria
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Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, 22000 Sidi Bel-Abbès, Algeria
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(1), 91; https://doi.org/10.3390/math8010091
Received: 5 December 2019 / Revised: 24 December 2019 / Accepted: 31 December 2019 / Published: 6 January 2020
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. View Full-Text
Keywords: fractional q-difference inclusion; measure of noncompactness; solution; fixed point fractional q-difference inclusion; measure of noncompactness; solution; fixed point
MDPI and ACS Style

Alqahtani, B.; Abbas, S.; Benchohra, M.; Alzaid, S.S. Fractional q-Difference Inclusions in Banach Spaces. Mathematics 2020, 8, 91.

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