Numerical solution of fractional Volterra integral equation with piecewise continuous kernel

D. Sidorov; I. Muftahov; A. Tynda

doi:10.1088/1742-6596/1847/1/012011

Numerical solution of fractional Volterra integral equation with piecewise continuous kernel

D. Sidorov
, I. Muftahov
, A. Tynda

Melent'ev Institute of Power Engineering Systems
Irkutsk State University
Irkutsk Department
Penza State University

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

Integral equations play the important role in applied mathematics, related to many areas of theory, especially applications. In this article, we consider the numerical method for solving Volterra integral equations for the fractional order of integration. The error of this method is O(1/N).

Original language	English
Article number	012011
Journal	Journal of Physics: Conference Series
Volume	1847
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1847/1/012011
State	Published - 15 Apr 2021
Externally published	Yes
Event	2020 Dynamic Systems and Computer Science: Theory and Applications, DYSC 2020 - Irkutsk, Russian Federation Duration: 19 Oct 2020 → 22 Oct 2020

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10.1088/1742-6596/1847/1/012011

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title = "Numerical solution of fractional Volterra integral equation with piecewise continuous kernel",

abstract = "Integral equations play the important role in applied mathematics, related to many areas of theory, especially applications. In this article, we consider the numerical method for solving Volterra integral equations for the fractional order of integration. The error of this method is O(1/N).",

author = "D. Sidorov and I. Muftahov and A. Tynda",

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AU - Sidorov, D.

AU - Muftahov, I.

AU - Tynda, A.

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PY - 2021/4/15

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N2 - Integral equations play the important role in applied mathematics, related to many areas of theory, especially applications. In this article, we consider the numerical method for solving Volterra integral equations for the fractional order of integration. The error of this method is O(1/N).

AB - Integral equations play the important role in applied mathematics, related to many areas of theory, especially applications. In this article, we consider the numerical method for solving Volterra integral equations for the fractional order of integration. The error of this method is O(1/N).

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DO - 10.1088/1742-6596/1847/1/012011

M3 - 会议文章

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SN - 1742-6588

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JO - Journal of Physics: Conference Series

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T2 - 2020 Dynamic Systems and Computer Science: Theory and Applications, DYSC 2020

Y2 - 19 October 2020 through 22 October 2020

ER -

Numerical solution of fractional Volterra integral equation with piecewise continuous kernel

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