Title of article
Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations
Author/Authors
Khanehgir, Mahnaz Department of Mathematics - Mashhad Branch - Islamic Azad University, Mashhad , Allahyari, Reza Department of Mathematics - Mashhad Branch - Islamic Azad University, Mashhad , Gholamian, Nayereh Department of Mathematics - Shirvan Branch - Islamic Azad University, Shirvan
Pages
8
From page
17
To page
24
Abstract
In this paper, first we introduce a measure of noncompactness in the Sobolev space Wk;1ðXÞ and then, as an application, we
study the existence of solutions for a class of the functional integral-differential equations using Darbo’s fixed point
theorem associated with this new measure of noncompactness. Further, two examples are presented to verify the effectiveness
and applicability of our main results.
Keywords
Darbo’s fixed point theorem , Integral-differential equation , Measure of noncompactness , Sobolev space
Journal title
Astroparticle Physics
Serial Year
2018
Record number
2449416
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