Existence solution of a system of differential equations using generalized Darbo's fixed point theorem

Abstract

In this paper, we proposed a generalized of Darbo's fixed point theorem via the concept of operators S(∙;.) associated with the measure of noncompactness. Using this generalized Darbo fixed point theorem, we have given the existence of solution of a system of differential equations. At the end, we have given an example which supports our findings.

Keywords

• measure of noncompactness(mnc)
• triple fixed point(tfp)
• condensing operator
• differential equations
• concept of operators