Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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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)
  • Received : 2015.08.22
  • Accepted : 2015.09.09
  • Published : 2015.11.15
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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.

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References

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  1. ON EXACT SOLUTIONS FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH NON-INTEGER ORDERS vol.29, pp.3, 2016, https://doi.org/10.14403/jcms.2016.29.3.515
  2. A NOTE ON EXPLICIT SOLUTIONS OF CERTAIN IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS vol.30, pp.1, 2017, https://doi.org/10.14403/jcms.2017.30.1.159
  3. STABILITY PROPERTIES IN IMPULSIVE DIFFERENTIAL SYSTEMS OF NON-INTEGER ORDER vol.56, pp.1, 2015, https://doi.org/10.4134/jkms.j180106
  4. Fractional impulsive differential equations: Exact solutions, integral equations and short memory case vol.22, pp.1, 2015, https://doi.org/10.1515/fca-2019-0012