Best Approximations of Solutions of Fractional-integral Equations with the Riemann-Liouville Operator
- 作者: Agachev J.1, Galimyanov A.1, Gubaidullina R.1
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隶属关系:
- Kazan (Volga Region) Federal University
- 期: 卷 40, 编号 9 (2019)
- 页面: 1231-1241
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205440
- DOI: https://doi.org/10.1134/S1995080219090026
- ID: 205440
如何引用文章
详细
The article is devoted to the best approximations of solutions of integral equations that are defined on the line segment and have a fractional Riemann-Liouville integral in the main part. These approximations are constructed with the “generalized” projection method using the apparatus of algebraic polynomials. At the same time, the Fredholm property of an integral equation operator in a special pair of Hölder spaces of the desired elements and right-hand sides plays an important role.
作者简介
J. Agachev
Kazan (Volga Region) Federal University
编辑信件的主要联系方式.
Email: jagachev@gmail.com
俄罗斯联邦, Kazan, Tatarstan, 420008
A. Galimyanov
Kazan (Volga Region) Federal University
编辑信件的主要联系方式.
Email: anis_59@mail.ru
俄罗斯联邦, Kazan, Tatarstan, 420008
R. Gubaidullina
Kazan (Volga Region) Federal University
编辑信件的主要联系方式.
Email: grenata@mail.ru
俄罗斯联邦, Kazan, Tatarstan, 420008