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
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
