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Paper Information

Journal:   MATHEMATICAL SCIENCES   2018 , Volume 12 , Number 1; Page(s) 17 To 24.
 
Paper: 

Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations

 
 
Author(s):  Khanehgir Mahnaz, Allahyari Reza*, Gholamian Nayereh
 
* Department of Mathematics, Mashhad Azad University, Mashhad, Iran
 
Abstract: 
In this paper, first we introduce a measure of noncompactness in the Sobolev space Wk; 1ð XÞ 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.
 
Keyword(s): Darbo’,s fixed point theorem ,Integral-differential equation ,Measure of noncompactness ,Sobolev space
 
 
References: 
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Citations: 
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APA: Copy

Khanehgir, M., & Allahyari, R., & Gholamian, N. (2018). Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations. MATHEMATICAL SCIENCES, 12(1), 17-24. https://www.sid.ir/en/journal/ViewPaper.aspx?id=668511



Vancouver: Copy

Khanehgir Mahnaz, Allahyari Reza, Gholamian Nayereh. Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations. MATHEMATICAL SCIENCES. 2018 [cited 2021August04];12(1):17-24. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=668511



IEEE: Copy

Khanehgir, M., Allahyari, R., Gholamian, N., 2018. Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations. MATHEMATICAL SCIENCES, [online] 12(1), pp.17-24. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=668511.



 
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