Oscillation of impulsive conformable fractional differential equations
Keyword(s):
AbstractIn this paper, we investigate oscillation results for the solutions of impulsive conformable fractional differential equations of the form$$\left\{ \begin{array}{l} {t_k}{D^\alpha }\left( {p\left( t \right)\left[ {{t_k}{D^\alpha }x\left( t \right) + r\left( t \right)x\left( t \right)} \right]} \right) + q\left( t \right)x\left( t \right) = 0,\quad t \ge {t_0},\;t \ne {t_k},\\ x\left( {t_k^ + } \right) = {a_k}x(t_k^ - ),\quad {t_k}{D^\alpha }x\left( {t_k^ + } \right) = {b_{k\;{t_{k - 1}}}}{D^\alpha }x(t_k^ - ),\quad \;k = 1,2, \ldots. \end{array} \right.$$Some new oscillation results are obtained by using the equivalence transformation and the associated Riccati techniques.
2012 ◽
Vol 9
(1)
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pp. 59-64
2011 ◽
Vol 57
(Supliment)
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2015 ◽
Vol 45
(2)
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pp. 201-213
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2020 ◽
Vol 41
(11)
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pp. 2168-2178
2010 ◽
Vol 46
(5)
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pp. 721-734
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