Existence of solutions to non-linear quadratic integral equations via measure of non-compactness

The objective of this manuscript is to enquire for the solvability a specific type non-linear quadratic integral equations via interesting notion measure non-compactness. Firstly, we inquire into couple exciting fixed point theorems involving non-compactness in setting Banach space. Subsequently, bringing play suitable and acquired results, discuss existence solutions aforementioned kind equations.