Stability, Boundedness, and Lagrange Stability of Fractional Differential Equations with Initial Time Difference

Differential inequalities, comparison results, and sufficient conditions on initial time difference stability, boundedness, and Lagrange stability for fractional differential systems have been evaluated.

[1]  T. Kaczorek,et al.  Fractional Differential Equations , 2015 .

[2]  V. Lakshmikantham,et al.  Theory of Fractional Dynamic Systems , 2009 .

[3]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[4]  Wei Lv,et al.  Exponential and global stability of nonlinear dynamical systems relative to initial time difference , 2011, Appl. Math. Comput..

[5]  Study on the stability of nonlinear differential equations with initial time difference , 2010 .

[6]  Shaher Momani,et al.  Lyapunov stability solutions of fractional integrodifferential equations , 2004, Int. J. Math. Math. Sci..

[7]  W. Walter.  Differential and Integral Inequalities , 1970 .

[8]  O. Marichev,et al.  Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[9]  Mustafa Bayram Gücen,et al.  Practical stability, boundedness criteria and Lagrange stability of fuzzy differential systems , 2012, Comput. Math. Appl..

[10]  Yangquan Chen,et al.  Computers and Mathematics with Applications Stability of Fractional-order Nonlinear Dynamic Systems: Lyapunov Direct Method and Generalized Mittag–leffler Stability , 2022 .

[11]  Ravi P. Agarwal,et al.  Stability analysis of fractional differential system with Riemann-Liouville derivative , 2010, Math. Comput. Model..

[12]  THEORY, METHODS AND APPLICATIONS OF INITIAL TIME DIFFERENCE BOUNDEDNESS CRITERIA AND LAGRANGE STABILITY IN TERMS OF TWO MEASURES FOR NONLINEAR SYSTEMS , 2011 .

[13]  L. Grujic.  On practical stability , 1973 .

[14]  Kevin Barraclough,et al.  I and i , 2001, BMJ : British Medical Journal.

[15]  K. Diethelm,et al.  Fractional Calculus: Models and Numerical Methods , 2012 .

[16]  W. Marsden.  I and J , 2012 .

[17]  V. Lakshmikantham,et al.  Stability Analysis of Nonlinear Systems , 1988 .