Existence Results for Block Matrix Operator of Fractional Orders in Banach Algebras
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Abstract
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.
Description
Hashem, H. H. G./0000-0002-9921-832X
ORCID
Keywords
Fractional Order Operators, Quadratic Integral Equations, Coupled System, 2 X 2 Block Operator Matrix, 2 × 2 Block Operator Matrix, fractional order operators, QA1-939, quadratic integral equations, coupled system, Mathematics, 2 × 2 block operator matrix
Fields of Science
0101 mathematics, 01 natural sciences
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4
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Volume
7
Issue
9
Start Page
856
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CrossRef : 4
Scopus : 3
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