Existence and stability of solutions for a system of quadratic integral equations in Banach algebras

Said Baghdad

Abstract


The aim of this paper is to prove the existence and stability of solutions of a system of quadratic integral equations in the Banach algebra of continuous and bounded functions on unbounded rectangle. The main tool used in our considerations is the multiple fixed point theorem which is a consequence of Darbo's fixed point theorem and the technique associated with measures of noncompactness. We also present an illustrative example.

Keywords


quadratic integral equations of fractional order; fixed-point theorems; Banach algebra; measure of noncompactness; stability

Mathematics Subject Classification (2010)


26A33; 26A42; 45D05; 45G05; 45G15; 47H08; 47H10

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