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Existence Results for Block Matrix Operator of Fractional Orders in Banach Algebras
Journal article   Open access  Peer reviewed

Existence Results for Block Matrix Operator of Fractional Orders in Banach Algebras

Hind Hashem, Ahmed El-Sayed and Dumitru Baleanu
Mathematics (Basel), Vol.7(9), p.856
01/09/2019
DOI: https://doi.org/10.3390/math7090856

Abstract

Mathematics Physical Sciences Science & Technology
This paper is concerned with proving the existence of solutions for a coupled system of quadratic integral equations of fractional order in Banach algebras. This result is a direct application of a fixed point theorem of Banach algebras. Some particular cases, examples and remarks are illustrated. Finally, the stability of solutions for that coupled system are studied.
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https://doi.org/10.3390/math7090856View
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