Solution of infinite system of ordinary differential equations and fractional hybrid differential equations via measure of noncompactness

摘要

In this work, we use the notion of convex power condensing mapping under measure of noncompactnessin locally convex spaces and establish some new coupled fixed point results. The resultsproved herein are the generalization and extension of some widely known results in the existingliterature. Furthermore, we apply our results for the existence of solution to infinite system ofordinary differential equations and system of fractional hybrid differential equations.