Numerical methods for solving initial value problems of some kinds of nonlinear impulsive fractional differential equations
Volume 11, Issue 10, pp 11291148
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 Ilsung University, DPRK.
Paksun Ae
 Department of Mathematics, Kim Ilsung University, DPRK.
Jongkum Song
 Department of Mathematics, Kim Ilsung 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 Itype impulsive fractional differential equation and IItype 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, 11291148
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):11291148
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): 11291148
Keywords
 Caputo fractional derivative
 impulsive fractional differential equation
 difference method
 operational matrix method
 decomposition method
MSC
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