Volume 7, Issue 2 (Vol.7, No. 2, 2021)
mmr 2021, 7(2): 237-248 |
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Amiri kayvanloo H A, Khanehgir M, Allahyari R. Existence of solutions of infinite systems of nonlinear Volterra integral equations on a Fréchet space. mmr 2021; 7 (2) :237-248
URL: http://mmr.khu.ac.ir/article-1-2760-en.html
URL: http://mmr.khu.ac.ir/article-1-2760-en.html
1- Department of Mathematics, Mashhad Branch, Islamic Azad Uni- versity, Mashhad, Iran.
2- Department of Mathematics, Mashhad Branch, Islamic Azad Uni- versity, Mashhad, Iran. ,rezaallahyari@mshdiau.ac.ir
2- Department of Mathematics, Mashhad Branch, Islamic Azad Uni- versity, Mashhad, Iran. ,
Abstract: (2292 Views)
In this paper, we introduce a Fréchet space and define a measure of noncompactness on it. For credit and the application to our theorems, in the application section of this paper, we present a theorem which shows the existence of solution of infinite system of nonlinear Volterra integral equations, and by using the technique of measures of noncompactness together Darbo fixed point theorem we guarantee the existence of solution in this Fréchet space . Finally, we present some examples which show the efficiency and applicability of our theorem../files/site1/files/72/5Abstract.pdf
Keywords: Measure of noncompactness, Fréchet space, Darbo fixed point theorem, Infinite system of Volterra integral equations.
Type of Study: Research Paper |
Subject:
alg
Received: 2018/03/19 | Revised: 2021/08/7 | Accepted: 2019/11/4 | Published: 2021/09/1 | ePublished: 2021/09/1
Received: 2018/03/19 | Revised: 2021/08/7 | Accepted: 2019/11/4 | Published: 2021/09/1 | ePublished: 2021/09/1
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