Numerical methods for solving initial value problems of some kinds of nonlinear impulsive fractional differential equations

Volume 11, Issue 10, pp 1129--1148 http://dx.doi.org/10.22436/jnsa.011.10.03
Publication Date: July 13, 2018 Submission Date: January 12, 2016 Revision Date: November 18, 2017 Accteptance Date: June 08, 2018

Authors

Yuanfeng Jin - Department of Mathematics, Yanbian University, Jilin 133002, China. Choehui Chol - Department of Mathematics, Kim Il-sung University, DPRK. Paksun Ae - Department of Mathematics, Kim Il-sung University, DPRK. Jongkum Song - Department of Mathematics, Kim Il-sung University, DPRK. Gang Lu - Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110178, China.


Abstract

This article is concerned with the numerical solutions for initial value problems of nonlinear impulsive fractional differential equations which are actively studied recently. In this paper we construct numerical schemes for solving initial value problems of I-type impulsive fractional differential equation and II-type impulsive fractional differential equation and estimate their convergence and stability.


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ISRP Style

Yuanfeng Jin, Choehui Chol, Paksun Ae, Jongkum Song, Gang Lu, Numerical methods for solving initial value problems of some kinds of nonlinear impulsive fractional differential equations, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 10, 1129--1148

AMA Style

Jin Yuanfeng, Chol Choehui, Ae Paksun, Song Jongkum, Lu Gang, Numerical methods for solving initial value problems of some kinds of nonlinear impulsive fractional differential equations. J. Nonlinear Sci. Appl. (2018); 11(10):1129--1148

Chicago/Turabian Style

Jin, Yuanfeng, Chol, Choehui, Ae, Paksun, Song, Jongkum, Lu, Gang. "Numerical methods for solving initial value problems of some kinds of nonlinear impulsive fractional differential equations." Journal of Nonlinear Sciences and Applications, 11, no. 10 (2018): 1129--1148


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