SOLUTION OF A CLASS OF QUADRATIC INTEGRO-DIFFERENTIAL EQUATIONS VIA NEW MEASURES OF NONCOMPACTNESS

摘要

In this paper, we discuss solution of a class of quadratic integro-differential Equations (1.1) using new type of measures of non-compactness. To do this, first we introduce generalized μ-set contraction operator and establish Darbo type fixed point result. An illustrative example is given to verify the result.