A class of Runge–Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels

A class of Runge–Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels

Abstract This paper aims to obtain an approximate solution for fractional order Riccati differential equations (FRDEs). FRDEs are equivalent to nonlinear Volterra integral equations of the second kind. In order to solve nonlinear Volterra integral equations of the second kind, a class of Runge–Kutta...

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Bibliographic Details
Main Authors: Bijan Hasani Lichae, Jafar Biazar, Zainab Ayati
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Advances in Difference Equations
Subjects:
Fractional order Riccati differential equations
Runge–Kutta methods
Subtraction of the singularity
Nonlinear Volterra integral equations of the second kind
Caputo fractional derivative
Online Access:http://link.springer.com/article/10.1186/s13662-018-1811-8

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http://link.springer.com/article/10.1186/s13662-018-1811-8

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