LYAPUNOV TYPE INEQUALITIES FOR FRACTIONAL STURM-LIOUVILLE PROBLEMS AND FRACTIONAL HAMILTONIAN SYSTEMS AND APPLICATIONS KAZEM GHANBARI, YOUSEF GHOLAMI
(2016). LYAPUNOV TYPE INEQUALITIES FOR FRACTIONAL STURM-LIOUVILLE PROBLEMS AND FRACTIONAL HAMILTONIAN SYSTEMS AND APPLICATIONS KAZEM GHANBARI, YOUSEF GHOLAMI. EKB Journal Management System, 7(1), 176-188. doi: 10.21608/jfca.2016.308381
. "LYAPUNOV TYPE INEQUALITIES FOR FRACTIONAL STURM-LIOUVILLE PROBLEMS AND FRACTIONAL HAMILTONIAN SYSTEMS AND APPLICATIONS KAZEM GHANBARI, YOUSEF GHOLAMI". EKB Journal Management System, 7, 1, 2016, 176-188. doi: 10.21608/jfca.2016.308381
(2016). 'LYAPUNOV TYPE INEQUALITIES FOR FRACTIONAL STURM-LIOUVILLE PROBLEMS AND FRACTIONAL HAMILTONIAN SYSTEMS AND APPLICATIONS KAZEM GHANBARI, YOUSEF GHOLAMI', EKB Journal Management System, 7(1), pp. 176-188. doi: 10.21608/jfca.2016.308381
LYAPUNOV TYPE INEQUALITIES FOR FRACTIONAL STURM-LIOUVILLE PROBLEMS AND FRACTIONAL HAMILTONIAN SYSTEMS AND APPLICATIONS KAZEM GHANBARI, YOUSEF GHOLAMI. EKB Journal Management System, 2016; 7(1): 176-188. doi: 10.21608/jfca.2016.308381

LYAPUNOV TYPE INEQUALITIES FOR FRACTIONAL STURM-LIOUVILLE PROBLEMS AND FRACTIONAL HAMILTONIAN SYSTEMS AND APPLICATIONS KAZEM GHANBARI, YOUSEF GHOLAMI

Journal of Fractional Calculus and Applications
Volume 7, Issue 1, 2016, Page 176-188  XML PDF (123.96 K)
DOI: 10.21608/jfca.2016.308381
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Abstract
In this paper, we will introduce some new results about Lyapunov type inequalities by studying the given fractional order Sturm-Liouville problems and fractional order Hamiltonian systems. We state and prove Lyapunov type inequalities for fractional S-L problems equipped by fractional Riemann- Liouville derivatives. In this paper for establishing fractional Hamiltonian systems we will apply recently introduced so called fractional Conformable operators. At the end as applications of these inequalities, some interesting spectral properties for fractional order S-L problems together with stability of fractional Hamiltonian systems will be concluded.
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