Geodesic
Numerical methods for solving initial value problems of some kinds of nonlinear impulsive fractional differential equations
Jin, Yuanfeng 1 ; Chol, Choehui2 ; Ae, Paksun2 ; Song, Jongkum2 ; Lu, Gang3
1 Department of Mathematics, Yanbian University, Jilin 133002, China
2 Department of Mathematics, Kim Il-sung University, DPRK
3 Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110178, China
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 10, p. 1129-1148.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.011.10.03
Classification : 65L05, 34A37, 34H05
Keywords: Caputo fractional derivative, impulsive fractional differential equation, difference method, operational matrix method, decomposition method

Jin, Yuanfeng  1 ; Chol, Choehui 2 ; Ae, Paksun 2 ; Song, Jongkum 2 ; Lu, Gang 3

1 Department of Mathematics, Yanbian University, Jilin 133002, China
2 Department of Mathematics, Kim Il-sung University, DPRK
3 Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110178, China 
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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 its applications, Tome 11 (2018) no. 10, p. 1129-1148. doi : 10.22436/jnsa.011.10.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.10.03/

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