Solvability of infinite system of general order differential equations via generalized Meir-Keeler condensing operator and semi-analytic method

In this article, a new fixed point theory and generalized condensing operator have been established to prove the existence of solutions for an infinite system of differential equations of n^{th} order. Also, some interesting examples are employed to support the findings. To validate our discussion the solutions of the examples are approximated by an iterative algorithm with high accuracy. The algorithm is convergent and constructed based on the modified homotopy perturbation method.

کلیدواژه ها:

Measure of noncompactness (MNC) ، Meir-Keeler condensing (MKC) ، ordinary differential equations (ODE) ، Green's function ، Banach sequence spaces ، Modified homotopy perturbation