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
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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
Keywords
- Caputo fractional derivative
- impulsive fractional differential equation
- difference method
- operational matrix method
- decomposition method
MSC
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