In this article, we prove a new compactness criterion in the Lebesgue spaces $ L_p
({\mathbb {R}}^+), 1\leq p<\infty $ and use such criteria to construct a measure of …

The existence of solutions for a class of μ-Caputo fractional differential equations and an
inclusion problem equipped with nonlocal μ-integral boundary conditions are investigated …

This paper introduces a new measure of non-compactness within a bounded domain of RN
in the generalized Morrey space. This measure is used to establish the existence of …

A novel measure of noncompactness is defined in variable exponent Lebesgue spaces L p
(⋅) on an unbounded domain R+ and its properties are examined. Using the fixed point …

First, we introduce the concept of triple sequence space c 3 (▵) and we define a Hausdorff
measure of noncompactness (MNC) on this space. Furthermore, by using this MNC we study …

First, we define a new class of fractional differential equations of order n--1 &lt; ϑ≤ n,(n≥ 2).
Also, we define a new Banach double sequence space m² (Δ< sub> v< sup> u, ø, p) and a …

First, we define a new class of fractional differential equations of order n− 1< ϑ≤ n,(n≥ 2).
Also, we define a new Banach double sequence space m2 (∆ uv, φ, p) and a Hausdorff MNC …