Oscillation Criteria for Higher Order Fractional Differential Equations with Mixed Nonlinearities

Authors : Tuğba Yalçın Uzun, Hande Büyükçavuşoğlu Erçolak, Mustafa Kemal Yıldız

Pages : 203-207

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Publication Date : 2019-04-15

Article Type : Conference Paper

Abstract :In this article, we consider higher order fractional nonlinear differential equation of type \begin{align*} &_aD_t^qxinsert ignore into journalissuearticles values(t);-pinsert ignore into journalissuearticles values(t);xinsert ignore into journalissuearticles values(t);+\sum_{i=1}^m q_iinsert ignore into journalissuearticles values(t);|xinsert ignore into journalissuearticles values(t);|^{\lambda_i-1}xinsert ignore into journalissuearticles values(t);=vinsert ignore into journalissuearticles values(t);\notag\\ &\underset{t\rightarrow a^+}{\lim}J_a^{n-q}xinsert ignore into journalissuearticles values(t);=a_n\\ &_aD_t^{q-k}xinsert ignore into journalissuearticles values(a);=a_k, \quad\quad\ k=1,...,n-1\notag \end{align*} where $_aD_t^q$is Riemann-Liouville fractional differential operator of order $q$, $m-1 Keywords : fractional differential equations, Oscillation

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