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http://dx.doi.org/10.14403/jcms.2015.28.4.583

A NOTE ON LINEAR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS  

Choi, Sung Kyu (Department of Mathematics Chungnam National University)
Koo, Namjip (Department of Mathematics Chungnam National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.28, no.4, 2015 , pp. 583-590 More about this Journal
Abstract
This paper deals with linear impulsive fractional differential equations involving the Caputo derivative with non-integer order q. We provide exact solutions of linear impulsive fractional differential equations with constant coefficient by mean of the Mittag-Leffler functions. Then we apply the exact solutions to improve impulsive integral inequalities with singularity.
Keywords
impulsive fractional differential equation; fractional integral inequality; Caputo fractional derivative; Mittag-Leffler function;
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Times Cited By KSCI : 1  (Citation Analysis)
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