Lyapunov-Type Inequality for Fractional Order Di_Erence Equations

Authors

  • Chengmin Hou

lyapunov-type inequalities, fractional order difference equations, boundary value problem

Abstract

In this paper, we obtain some Lyapunov-type inequalities for a class of fractional order difference equations with homogeneous boundary value conditions, the results of this paper are new and generalize some early results in the literature.

How to Cite

Lyapunov-Type Inequality for Fractional Order Di_Erence Equations. (2016). Global Journal of Science Frontier Research, 16(2), 1-9. https://journalofscience.org/index.php/GJSFR/article/view/

References

equations (2012) 25, 1830-1834.

S. Cheng (1991) Lyapunov inequalities for differential and difference equations. 23, 25-41.

A. Liapunov Problme gnral de la stabilit du mouvement.

D. Cakmak (2010) Lyapunov-type integral inequalities for certain higher order differential equations. 216, 368-373.

X. He, X. Tang (2012) Lyapunov-type inequalities for even order differential equations. 11(2), 465-473.

L. Jiang, Z. Zhou (2005) Lyapunov inequality for linear Hamiltonian systems on time scales. 310, 579-593.

X. Wang Stability criteria for linear periodic Hamiltonian systems.

X. Yang (2003) On Liapunov-type inequality for certain higher-order differential equations. (2-3), 307-317.

X. Yang, On type (2003) On inequalities of Lyapunov type. (2-3), 293-300.

K. X. Yang (2010) Lyapunov-type inequality for a class of even-order differential equations. 215, 3884-3890.

S. Cheng A discrete analogue of the inequality of Lyapunov, Hokkaido Math.

S. Cheng, L. Hsieh (1989) On discrete analogue of Lyapunovs inequality: addendum. 20, 333-340.

S. Cheng A sharp condition for the ground state of difference equation, Appl.

S. Cheng, L. Hsieh, D. Chao (1990) Discrete Lyapunov inequality conditions for partial difference equations. 19, 229-239.

S. Clark, D. Hinton (1998) Discrete Lyapunov inequalities for linear Hamiltonian systems. 1, 201-209.

S. Clark, D. Hinton (1999) Discrete Lyapunov inequalities. 8, 369-380.

G. Sh, B. Guseinov, Kaymakcalan (2003) Lyapunov inequalities for discrete linear Hamiltonian systems. 45, 1399-1416.

S. Lin, G. Yang (1989) On discrete analogue of Lyapunovs inequality. 20, 169-186.

Q. Zhang, Lyapunov X.H. Tang (2011) Lyapunov inequalities and stability for discrete linear Hamiltonian system. 218, 574-582.

Q. Zhang, X. Tang (2012) Lyapunov-type inequalities for even order difference equations. 25, 1830-1834.

M. Holm (2011) The Theory of Discrete Fractional Calculus: Development and Application.

Lyapunov-Type Inequality for Fractional Order Di_Erence Equations

Published

2016-01-25

How to Cite

Lyapunov-Type Inequality for Fractional Order Di_Erence Equations. (2016). Global Journal of Science Frontier Research, 16(2), 1-9. https://journalofscience.org/index.php/GJSFR/article/view/