The first measure of noncompactness was defined by Kuratowski in 1930 and later the
Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al. These …

In this paper, we give an extension of Darbo's fixed point theorem associated with measures
of noncompactness, and present some results on the existence of coupled fixed points for a …

The main object of this paper is to introduce a new Banach space derived by using a matrix
operator which is comprised of Euler's totient function. Also, we determine α, β, γ-duals of …

In this paper, we present existence results for the solution of infinite systems of second order
differential equations in Banach sequence spaces $ c_0 $ and $\ell _1 $ using the idea of …

The purpose of this article is to introduce a new tempered sequence space and obtain the
measure of noncompactness in this space. Using the measure of noncompactness and …

In this article, we work on the existence of solution of generalized fractional integral
equations of two variables. To achieve our main objective, we establish a new fixed point …

A survey on measures of noncompactness with some applications in infinite systems of
differential equations | SpringerLink Skip to main content Advertisement SpringerLink Log in …

In the current article we obtain the extension of Darbo's fixed point theorem (DFPT), and
apply this theorem to prove the existence of solution of an infinite system of implicit fractional …

The aim of this article is to investigate the existence of solution for the nonlinear functional
integral equations with the help of measure of noncompactness, simulation function and …

We present a generalization of Darbo's fixed point theorem in this article, and we use it to
investigate the solvability of an infinite system of fractional order integral equations in ℓp (1≤ …