Some generalizations of Darbo’s theorem and applications to fractional integral equations |
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In this paper, a combination of the quasilinearization and the Legendre spectral collocation
methods is introduced to approximate the solution of the nonlinear functional Volterra …

In this article, we present some fixed point and coupled fixed point theorems adapted from
the notion of F-contraction map**s in Banach spaces (BS) via the measure of …

The main purpose of this paper is to study the existence of solutions for the following hybrid
nonlinear fractional pantograph equation $$\left\{\begin {aligned} &D_ {0+}^\alpha\left [\frac …

In this paper, some existence theorems involving generalized contractive conditions with
respect to a measure are proved. By applying our results, we study some coupled fixed point …

This paper discusses the existence of a solution for the system of integro-differential
equations. By using a certain measure of noncompactness through the generalized Darbo …

This paper deals with nonlinear fractional differential equation with fractional separated
boundary conditions. We investigate the existence of weak solutions in Banach spaces. To …

We prove the best proximity point results for condensing operators on C-class of functions,
by using a concept of measure of noncompactness. The results are applied to show the …

In this paper we extend Darbo's fixed point theorem in Banach spaces and obtain a tripled
fixed point theorem. The technique of measure of noncompactness is the main tool in …

The purpose of this article is to introduce the notion of cone valued measure of
noncompactness. Our theoretical approach generalizes recent results for cone measure of …