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Oscillation of impulsive conformable fractional differential equations

Jessada Tariboon, Sotiris K. Ntouyas (2016)

Open Mathematics

In this paper, we investigate oscillation results for the solutions of impulsive conformable fractional differential equations of the form tkDαpttkDαxt+rtxt+qtxt=0,t≥t0,t≠tk,xtk+=akx(tk−),tkDαxtk+=bktk−1Dαx(tk−),k=1,2,…. t k D α p t t k D α x t + r t x t + q t x t = 0 , t t 0 , t t k , x t k + = a k x ( t k - ) , t k D α x t k + = b k t k - 1 D α x ( t k - ) , k = 1 , 2 , ... . Some new oscillation results are obtained by using the equivalence transformation and the associated Riccati techniques.

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