Solvability of nonlinear coupled system of Urysohn-Volterra quadratic integral equations in generalized Banach Algebras
Keywords:
Fixed point; Banach algebra; nonlinear integral equations; fractional integral; Leray-Schauder kind fixed point theorem.Abstract
In this work, we investigate the solvability of a new class of nonlinear coupled systems of UrysohnVolterra quadratic integral equations involving the generalized fractional kernel functions. By using the LeraySchauder version of the fixed point theorem in the vectorial Banach algebra space, we prove the existence of solutions of the proposed system under suitable conditions. We investigate the stability analysis of the proposed system. Moreover, we establish some special examples and particular cases.
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