Applications of measures of noncompactness to infinite system of fractional differential equations

Abstract

In this paper, we discuss few existence result for solution of an infnite system of fractional differential equations of order α (1 < α < 2), with three point boundary value problem in the interval [0, T]. The problem is studied in the classical Banach sequence spaces c0 and ℓp (1 ≤ p < ∞), using Hausdorff measure of noncompactness and Darbo type fixed point theorem. We also illustrate our results through some concrete examples..