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## Oscillation Criteria for Higher Order Fractional Differential Equations with Mixed Nonlinearities

#### Tuğba Yalçın Uzun  , Hande Büyükçavuşoğlu Erçolak  , Mustafa Kemal Yıldız 

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In this article, we consider higher order fractional nonlinear differential equation of type \begin{align*} &_aD_t^qx(t)-p(t)x(t)+\sum_{i=1}^m q_i(t)|x(t)|^{\lambda_i-1}x(t)=v(t)\notag\\ &\underset{t\rightarrow a^+}{\lim}J_a^{n-q}x(t)=a_n\\ &_aD_t^{q-k}x(a)=a_k, \quad\quad\ k=1,...,n-1\notag \end{align*} where $_aD_t^q$is Riemann-Liouville fractional differential operator of order $q$, $m-1<q\leq m, m\geq1$ is an integer. We obtain some oscillation criteria for this equation.

fractional diﬀerential equations, Oscillation
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Primary Language en Engineering Articles Author: Tuğba Yalçın Uzun (Primary Author)Institution: AFYON KOCATEPE ÜNİVERSİTESİCountry: Turkey Author: Hande Büyükçavuşoğlu ErçolakInstitution: AFYON KOCATEPE ÜNİVERSİTESİCountry: Turkey Author: Mustafa Kemal YıldızInstitution: AFYON KOCATEPE ÜNİVERSİTESİCountry: Turkey Publication Date: April 15, 2019
 Bibtex @conference paper { konuralpjournalmath369895, journal = {Konuralp Journal of Mathematics (KJM)}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2019}, volume = {7}, pages = {203 - 207}, doi = {}, title = {Oscillation Criteria for Higher Order Fractional Differential Equations with Mixed Nonlinearities}, key = {cite}, author = {Yalçın Uzun, Tuğba and Büyükçavuşoğlu Erçolak, Hande and Yıldız, Mustafa Kemal} } APA Yalçın Uzun, T , Büyükçavuşoğlu Erçolak, H , Yıldız, M . (2019). Oscillation Criteria for Higher Order Fractional Differential Equations with Mixed Nonlinearities. Konuralp Journal of Mathematics (KJM), 7 (1), 203-207. Retrieved from http://dergipark.org.tr/konuralpjournalmath/issue/31492/369895 MLA Yalçın Uzun, T , Büyükçavuşoğlu Erçolak, H , Yıldız, M . "Oscillation Criteria for Higher Order Fractional Differential Equations with Mixed Nonlinearities". Konuralp Journal of Mathematics (KJM) 7 (2019): 203-207 Chicago Yalçın Uzun, T , Büyükçavuşoğlu Erçolak, H , Yıldız, M . "Oscillation Criteria for Higher Order Fractional Differential Equations with Mixed Nonlinearities". Konuralp Journal of Mathematics (KJM) 7 (2019): 203-207 RIS TY - JOUR T1 - Oscillation Criteria for Higher Order Fractional Differential Equations with Mixed Nonlinearities AU - Tuğba Yalçın Uzun , Hande Büyükçavuşoğlu Erçolak , Mustafa Kemal Yıldız Y1 - 2019 PY - 2019 N1 - DO - T2 - Konuralp Journal of Mathematics (KJM) JF - Journal JO - JOR SP - 203 EP - 207 VL - 7 IS - 1 SN - -2147-625X M3 - UR - Y2 - 2019 ER - EndNote %0 Konuralp Journal of Mathematics (KJM) Oscillation Criteria for Higher Order Fractional Differential Equations with Mixed Nonlinearities %A Tuğba Yalçın Uzun , Hande Büyükçavuşoğlu Erçolak , Mustafa Kemal Yıldız %T Oscillation Criteria for Higher Order Fractional Differential Equations with Mixed Nonlinearities %D 2019 %J Konuralp Journal of Mathematics (KJM) %P -2147-625X %V 7 %N 1 %R %U ISNAD Yalçın Uzun, Tuğba , Büyükçavuşoğlu Erçolak, Hande , Yıldız, Mustafa Kemal . "Oscillation Criteria for Higher Order Fractional Differential Equations with Mixed Nonlinearities". Konuralp Journal of Mathematics (KJM) 7 / 1 (April 2019): 203-207. AMA Yalçın Uzun T , Büyükçavuşoğlu Erçolak H , Yıldız M . Oscillation Criteria for Higher Order Fractional Differential Equations with Mixed Nonlinearities. Konuralp J. Math.. 2019; 7(1): 203-207. Vancouver Yalçın Uzun T , Büyükçavuşoğlu Erçolak H , Yıldız M . Oscillation Criteria for Higher Order Fractional Differential Equations with Mixed Nonlinearities. Konuralp Journal of Mathematics (KJM). 2019; 7(1): 207-203.