Numerical methods for solving initial value problems of some kinds of nonlinear impulsive fractional differential equations
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.
Keywords
 Caputo fractional derivative
 impulsive fractional differential equation
 difference method
 operational matrix method
 decomposition method
MSC
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