TY - JOUR AU - Liapunov, A. M. PY - 1907 DA - 1907// TI - Problèm général de la stabilité du mouvement JO - Ann. Fac. Sci. Toulouse VL - 2 UR - https://doi.org/10.5802/afst.246 DO - 10.5802/afst.246 ID - Liapunov1907 ER - TY - JOUR AU - Clark, S. AU - Hinton, D. B. PY - 1998 DA - 1998// TI - A Lyapunov inequality for linear Hamiltonian systems JO - Math. Inequal. Appl. VL - 1 ID - Clark1998 ER - TY - JOUR AU - Cakmak, D. PY - 2010 DA - 2010// TI - Lyapunov-type integral inequalities for certain higher order differential equations JO - Appl. Math. Comput. VL - 216 ID - Cakmak2010 ER - TY - JOUR AU - Zhang, M. AU - Tang, X. H. PY - 2011 DA - 2011// TI - Lyapunov inequalities and stability for discrete linear Hamiltonian systems JO - Appl. Math. Comput. VL - 218 ID - Zhang2011 ER - TY - JOUR AU - Liu, X. AU - Tang, M. PY - 2014 DA - 2014// TI - Lyapunov-type inequality for higher order difference equations JO - Appl. Math. Comput. VL - 232 ID - Liu2014 ER - TY - JOUR AU - Yang, X. PY - 2003 DA - 2003// TI - On Lyapunov-type inequality for certain higher-order differential equations JO - Appl. Math. Comput. VL - 134 ID - Yang2003 ER - TY - JOUR AU - Yang, X. AU - Lo, K. PY - 2010 DA - 2010// TI - Lyapunov-type inequality for a class of even-order differential equations JO - Appl. Math. Comput. VL - 215 ID - Yang2010 ER - TY - JOUR AU - Bai, Z. B. AU - Zhang, S. AU - Sun, S. J. AU - Yin, C. PY - 2016 DA - 2016// TI - Monotone iterative method for a class of fractional differential equations JO - Electron. J. Differ. Equ. VL - 2016 UR - https://doi.org/10.1186/s13662-015-0733-y DO - 10.1186/s13662-015-0733-y ID - Bai2016 ER - TY - JOUR AU - Zhang, X. AU - Zhong, Q. PY - 2017 DA - 2017// TI - Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions JO - Fract. Calc. Appl. Anal. VL - 20 UR - https://doi.org/10.1515/fca-2017-0077 DO - 10.1515/fca-2017-0077 ID - Zhang2017 ER - TY - JOUR AU - Cui, Y. J. AU - Sun, Q. AU - Su, X. W. PY - 2017 DA - 2017// TI - Monotone iterative technique for nonlinear boundary value problems of fractional order p∈(2,3]$p\in(2,3]$ JO - Adv. Differ. Equ. VL - 2017 UR - https://doi.org/10.1186/s13662-017-1314-z DO - 10.1186/s13662-017-1314-z ID - Cui2017 ER - TY - JOUR AU - Zhang, X. AU - Zhong, Q. PY - 2018 DA - 2018// TI - Triple positive solutions for nonlocal fractional differential equations with singularities both on time and space variables JO - Appl. Math. Lett. VL - 80 UR - https://doi.org/10.1016/j.aml.2017.12.022 DO - 10.1016/j.aml.2017.12.022 ID - Zhang2018 ER - TY - JOUR AU - Cui, Y. AU - Ma, W. J. AU - Sun, Q. AU - Su, X. W. PY - 2018 DA - 2018// TI - New uniqueness results for boundary value problem of fractional differential equation JO - Nonlinear Anal. VL - 223 UR - https://doi.org/10.15388/NA.2018.1.3 DO - 10.15388/NA.2018.1.3 ID - Cui2018 ER - TY - JOUR AU - Ferreira, R. A. C. PY - 2013 DA - 2013// TI - A Lyapunov-type inequality for a fractional boundary value problem JO - Fract. Calc. Appl. Anal. VL - 16 UR - https://doi.org/10.2478/s13540-013-0060-5 DO - 10.2478/s13540-013-0060-5 ID - Ferreira2013 ER - TY - JOUR AU - Ferreira, R. A. C. PY - 2014 DA - 2014// TI - On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function JO - J. Math. Anal. Appl. VL - 412 UR - https://doi.org/10.1016/j.jmaa.2013.11.025 DO - 10.1016/j.jmaa.2013.11.025 ID - Ferreira2014 ER - TY - JOUR AU - Ferreira, R. A. C. PY - 2011 DA - 2011// TI - Positive solutions for a class of boundary value problems with fractional q-differences JO - Comput. Appl. Math. VL - 61 UR - https://doi.org/10.1016/j.camwa.2010.11.012 DO - 10.1016/j.camwa.2010.11.012 ID - Ferreira2011 ER - TY - JOUR AU - El-Shahed, M. AU - Al-Askar, F. PY - 2011 DA - 2011// TI - Positive solutions for boundary value problem of nonlinear fractional q-difference equation JO - J. Math. Anal. Appl. VL - 2011 ID - El-Shahed2011 ER - TY - JOUR AU - Liang, S. AU - Zhang, J. PY - 2012 DA - 2012// TI - Existence and uniqueness of positive solutions for three-point boundary value problem with fractional q-difference JO - J. Comput. Appl. Math. VL - 40 UR - https://doi.org/10.1007/s12190-012-0551-2 DO - 10.1007/s12190-012-0551-2 ID - Liang2012 ER - TY - JOUR AU - Jleli, M. AU - Samet, B. PY - 2016 DA - 2016// TI - A Lyapunov-type inequality for a fractional q-difference boundary value problem JO - J. Nonlinear Sci. Appl. VL - 9 UR - https://doi.org/10.22436/jnsa.009.05.03 DO - 10.22436/jnsa.009.05.03 ID - Jleli2016 ER - TY - STD TI - Ma, K.K., Han, Z.L.: Lyapunov-type inequalities on fractional q-difference Schrodinger equation with the Woods–Saxon potential. Int. J. Dyn. Syst. Differ. Equ. (2018) (to appear) ID - ref19 ER - TY - JOUR AU - Agarwal, R. P. PY - 1969 DA - 1969// TI - Certain fractional q-integrals and q-derivatives JO - Math. Proc. Camb. Philos. Soc. VL - 66 UR - https://doi.org/10.1017/S0305004100045060 DO - 10.1017/S0305004100045060 ID - Agarwal1969 ER - TY - JOUR AU - Marinkovic, R. P. PY - 2007 DA - 2007// TI - Fractional integrals and derivatives in q-calculus JO - Appl. Anal. Discrete Math. VL - 1 UR - https://doi.org/10.2298/AADM0701311R DO - 10.2298/AADM0701311R ID - Marinkovic2007 ER - TY - BOOK AU - Annaby, M. H. AU - Mansour, Z. S. PY - 2012 DA - 2012// TI - q-Fractional Calculus and Equations PB - Springer CY - Berlin UR - https://doi.org/10.1007/978-3-642-30898-7 DO - 10.1007/978-3-642-30898-7 ID - Annaby2012 ER -