Measures of noncompactness in Lipschitz Banach algebra and application to quadratic fractional integral equation

In this paper, we introduce the Banach algebra on unbounded interval that satisfies the lipschitz condition, next we define measures of noncompactness in this space. Further, we investigate the solvability of a nonlinear quadratic fractional integral equation by applying the technique of measures of noncompactness in conjunction with the Darbo’s fixed point theorem. Moreover, we demonstrate an example to support the obtained main result.