TY - JOUR T1 - A NOTE ON ASYMPTOTIC BEHAVIOR OF FRACTIONAL DIFFERENTIAL EQUATIONS AU - Adıgüzel, Hakan PY - 2021 DA - June JF - Sigma Journal of Engineering and Natural Sciences JO - SIGMA PB - Yildiz Technical University WT - DergiPark SN - 1304-7191 SP - 1061 EP - 1067 VL - 38 IS - 2 LA - en AB - The purpose of the study is to present some new criteria for the asymptotic behavior of nonlinear fractional differential equations. KW - Nonoscillation KW - fractional derivative KW - asymptotic behavior CR - [1] Hilfer, R., (2000), Applications of Fractional Calculus in Physics, World Scientific, Singapore. CR - [2] Podlubbny, I., (1999), Fractional Differential Equations, Academic Press, San Diego. CR - [3] Diethelm, K., (2010), The Analysis of Fractional Differential Equations, Springer, Berlin. CR - [4] Hammet, M. E., (1971), Nonoscillation Properties of a Nonlinear Differential Equation, Proceedings of the American Mathematical Society 30,1,92-96. CR - [5] Grace, S. R., Lalli, B. S., (1988), Oscillations in second order differential equations with alternating coefficients, Periodica Mathematica Hungarica 19,1, 69-78. CR - [6] Tiryaki, A., (2012), Some criteria for the asymptotic behavior of a certain second order nonlinear perturbed differential equation, Advances in Pure Mathematics 2,5, 341-343. CR - [7] Grace, S. R., (1991), Oscillatory and asymptotic behavior of certain functional differential equations, Journal of Mathematical Analysis and Applications 62, 1, 177-188. CR - [8] Tunç C., (2007), On the non-oscillation of solutions of some nonlinear differential equations of third order, Nonlinear Dynamics and Systems Theory 7,4, 419–430. CR - [9] Agarwal, R. P., Grace S. R., Regan, D. O., (2003), oscillation theory for second order dynamic equations, Taylor and Francis, London. CR - [10] Philos, Ch. G., (1981), On the existence of nonoscillatory solutions tending to zero at ∞ for differential equations with positive delays, Archiv der Mathematik, 36, 1, 168-170. CR - [11] Mısır, A., Öğrekçi, S., (2016), Oscillation criteria for a class of second order nonlinear differential equations, Gazi University Journal of Science, 29,4,923-927. CR - [12] Agarwal, R. P., Grace, S. R., Manojlovic, J. V., (2006), Oscillation criteria for certain fourth order nonlinear functional differential equations, Mathematical and computer modelling 44,1- 2,163-187. CR - [13] Mısır, A., Öğrekçi, S., (2016), Oscillation Theorems for Second-Order Nonlinear Differential Equations, Gazi University Journal of Science 29,4,929-935. CR - [14] Tunç, E., Tunç, O., (2016), On the oscillation of a class of damped fractional differential equations, Miskolc Mathematical Notes, 17,1,647-656. CR - [15] Muthulakshmi, V., Pavithra, S., (2017), Oscillatory behavior of fractional differential equation with damping, International Journal of Mathematics And its Applications 5, 4C, 383-388. CR - [16] Chen, D., Qu, P., Lan, Y., (2013), Forced oscillation of certain fractional differential equations, Adv. Differ. Equ. Article ID 125. CR - [17] Bolat, Y., (2014), On the oscillation of fractional-order delay differential equations with constant coefficients, Communications in Nonlinear Science and Numerical Simulation, 19,11,3988-3993. CR - [18] Chen, D., (2012), Oscillation criteria of fractional differential equations, Adv. Differ. Equ. Article ID 33 CR - [19] Grace, SR., Agarwal, RP., Wong, JY., Zafer, A., (2012), On the oscillation of fractional differential equations, Fract. Calc. Appl. Anal. 15: 222-231. CR - [20] Zheng, B., (2013), Oscillation for a class of nonlinear fractional differential equations with damping term, J. Adv. Math. Stud. 6, 107-115. CR - [21] Kısalar, S., Yıldız, M. K., Aktoprak, E., (2015), Oscillation of higher order fractional nonlinear difference equations, International Journal of Difference Equations, 10,2, 201-212. CR - [22] Abdalla, B., Abodayeh, K., Abdeljawad, T., Alzabut, J.,(2017), New oscillation criteria for forced nonlinear fractional difference equations, Vietnam Journal of Mathematics 45,4,609-618. CR - [23] Alzabut, J. O., Abdeljawad, T., (2014), Sufficient conditions for the oscillation of nonlinear fractional difference equations, J. Fract. Calc. Appl, 5,1, 177-187. UR - https://dergipark.org.tr/en/pub/sigma/issue//1006734 L1 - https://dergipark.org.tr/en/download/article-file/2017027 ER -