Open AccessNumerical solution of fractional Volterra integral equation with piecewise continuous kernel
Author(s) -
Denis Sidorov,
Ildar Muftahov,
Alexander N. Tynda
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1847/1/012011
Subject(s) - volterra integral equation , piecewise , integral equation , mathematics , kernel (algebra) , fractional calculus , order (exchange) , mathematical analysis , pure mathematics , finance , economics
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) .