Oscillation criteria for a class of fractional delay differential equations

[1]  A. Alsaedi,et al.  Oscillation for Fractional Partial Differential Equations , 2019 .

[2]  F. Mainardi.  Fractional Calculus , 2018, Fractional Calculus.

[3]  Jan Cermak,et al.  Stability regions for fractional differential systems with a time delay , 2016, Commun. Nonlinear Sci. Numer. Simul..

[4]  Zhenlai Han,et al.  Comment on "On the oscillation of fractional-order delay differential equations with constant coefficients" [Commun Nonlinear Sci 19(11) (2014) 3988-3993] , 2015, Commun. Nonlinear Sci. Numer. Simul..

[5]  Yaşar Bolat,et al.  On the oscillation of fractional-order delay differential equations with constant coefficients , 2014, Commun. Nonlinear Sci. Numer. Simul..

[6]  N. Ford,et al.  A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations , 2013 .

[7]  Da-Xue Chen.  Oscillation criteria of fractional differential equations , 2012 .

[8]  Y. Kuang.  Delay Differential Equations: With Applications in Population Dynamics , 2012 .

[9]  Katja Krol,et al.  Asymptotic properties of fractional delay differential equations , 2011, Appl. Math. Comput..

[10]  Manuel Duarte Ortigueira,et al.  Fractional Calculus for Scientists and Engineers , 2011, Lecture Notes in Electrical Engineering.

[11]  Aleksandar M. Spasic,et al.  Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach , 2009, Math. Comput. Model..

[12]  V. Lakshmikantham,et al.  Theory of fractional functional differential equations , 2008 .

[13]  Yong-sheng Ding,et al.  A generalized Gronwall inequality and its application to a fractional differential equation , 2007 .

[14]  Jinhu Lü,et al.  Stability analysis of linear fractional differential system with multiple time delays , 2007 .

[15]  Chyi Hwang,et al.  A numerical algorithm for stability testing of fractional delay systems , 2006, Autom..

[16]  M. Lazarevic.  Finite time stability analysis of PDα fractional control of robotic time-delay systems , 2006 .

[17]  K. Moore,et al.  Analytical Stability Bound for a Class of Delayed Fractional-Order Dynamic Systems , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[18]  R. Hilfer.  Applications Of Fractional Calculus In Physics , 2000 .

[19]  Kolmanovskii,et al.  Introduction to the Theory and Applications of Functional Differential Equations , 1999 .

[20]  I. Podlubny.  Fractional differential equations , 1998 .

[21]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[22]  G. Ladas,et al.  Oscillation Theory of Delay Differential Equations: With Applications , 1992 .

[23]  SACHIN BHALEKAR,et al.  A PREDICTOR-CORRECTOR SCHEME FOR SOLVING NONLINEAR DELAY DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER , 2011 .

[24]  YangQuan Chen,et al.  Fractional-order Systems and Controls , 2010 .

[25]  YangQuan Chen,et al.  Fractional-order systems and control : fundamentals and applications , 2010 .