"Existence Solutions for a Nonlinear Langevin Fractional q-Difference S" by Abdellatif Boutiara, Maamar Benbachir et al.

Progress in Fractional Differentiation & Applications

Article Title

Existence Solutions for a Nonlinear Langevin Fractional q-Difference System in Banach Space

Authors

Abdellatif Boutiara, Laboratoire de Mathe ́matiques et Sciences applique ́es, Universite ́ de Ghardaia, Gharadaia, Alge ́rieFollow
Maamar Benbachir, Faculty of Sciences, Saad Dahlab University, Blida, AlgeriaFollow
Mansour Lotayif, College of Administrative Sciences, Applied Science University, P.O. Box 5055, East Al-Ekir, Kingdom of BahrainFollow

Author Country (or Countries)

Alge ́rie

Abstract

This paper is related to deriving some necessary and appropriate conditions for qualitative results about a class of coupled Langevin fractional q-difference system in Banach space. A combination of the Mo ̈nch’s fixed-point theorem and measuring of non- compactness is used in our analysis. For the demonstration of our theoretical results, we provide an example.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/080403

Recommended Citation

Boutiara, Abdellatif; Benbachir, Maamar; and Lotayif, Mansour (2022) "Existence Solutions for a Nonlinear Langevin Fractional q-Difference System in Banach Space," Progress in Fractional Differentiation & Applications: Vol. 8: Iss. 4, Article 3.
DOI: http://dx.doi.org/10.18576/pfda/080403
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol8/iss4/3

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