EN
Lyapunov-type inequality for a Riemann-Liouville fractional differential boundary value problem
Abstract
The aim of this paper is to present a Lyapunov-type inequality for a Riemann-Liouville fractional differential equation of order $2<\alpha\leq3$ subject to mixed boundary conditions.
Keywords
References
- El-Shahed, M., Positive solutions for boundary value problem of nonlinear fractional differential equation, Abstr. Appl. Anal., Article ID 10368, 8 pp., 2007.
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- Ferreira, R. A. C., On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function, J. Math. Anal. Appl. 412, no. 2, 1058–1063, 2014.
- Jleli, M., Ragoub, L., Samet, B., A Lyapunov-type inequality for a fractional differential equation under a Robin boundary condition, J. Funct. Spaces, Volume 2015, Article ID 468536, 5 pp., 2015.
- Jleli, M., Samet, B., Lyapunov-type inequality for a fractional differential equation with a mixed boundary condition, Math. Ineq. Appl., vol. 18, no. 2, pp. 443–451, 2015.
- Kilbas, A. A., Srivastava, H. M., Trujillo, J. J., Theory and applications of fractional differential equations, vol. 204 of North-Holland Mathematics Studies, Elsevier, Amsterdam, xvi+523 pp., 2006.
- Lyapunov, A. M., Probleme general de la stabilite du mouvement, Ann. Fac. Sci. Univ. Toulouse. 2, 203-407, 1907.
- Pachpatte, B. G., Mathematical Inequalities, North Holland Mathematical Library 67, Elsevier, xii+591 pp, 2005.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
December 12, 2018
Submission Date
May 18, 2015
Acceptance Date
April 1, 2016
Published in Issue
Year 2018 Volume: 47 Number: 6
APA
Al-qurashi, M., & Ragoub, L. (2018). Lyapunov-type inequality for a Riemann-Liouville fractional differential boundary value problem. Hacettepe Journal of Mathematics and Statistics, 47(6), 1447-1452. https://izlik.org/JA33JB93XG
AMA
1.Al-qurashi M, Ragoub L. Lyapunov-type inequality for a Riemann-Liouville fractional differential boundary value problem. Hacettepe Journal of Mathematics and Statistics. 2018;47(6):1447-1452. https://izlik.org/JA33JB93XG
Chicago
Al-qurashi, Maysaa, and Lakhdar Ragoub. 2018. “Lyapunov-Type Inequality for a Riemann-Liouville Fractional Differential Boundary Value Problem”. Hacettepe Journal of Mathematics and Statistics 47 (6): 1447-52. https://izlik.org/JA33JB93XG.
EndNote
Al-qurashi M, Ragoub L (December 1, 2018) Lyapunov-type inequality for a Riemann-Liouville fractional differential boundary value problem. Hacettepe Journal of Mathematics and Statistics 47 6 1447–1452.
IEEE
[1]M. Al-qurashi and L. Ragoub, “Lyapunov-type inequality for a Riemann-Liouville fractional differential boundary value problem”, Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 6, pp. 1447–1452, Dec. 2018, [Online]. Available: https://izlik.org/JA33JB93XG
ISNAD
Al-qurashi, Maysaa - Ragoub, Lakhdar. “Lyapunov-Type Inequality for a Riemann-Liouville Fractional Differential Boundary Value Problem”. Hacettepe Journal of Mathematics and Statistics 47/6 (December 1, 2018): 1447-1452. https://izlik.org/JA33JB93XG.
JAMA
1.Al-qurashi M, Ragoub L. Lyapunov-type inequality for a Riemann-Liouville fractional differential boundary value problem. Hacettepe Journal of Mathematics and Statistics. 2018;47:1447–1452.
MLA
Al-qurashi, Maysaa, and Lakhdar Ragoub. “Lyapunov-Type Inequality for a Riemann-Liouville Fractional Differential Boundary Value Problem”. Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 6, Dec. 2018, pp. 1447-52, https://izlik.org/JA33JB93XG.
Vancouver
1.Maysaa Al-qurashi, Lakhdar Ragoub. Lyapunov-type inequality for a Riemann-Liouville fractional differential boundary value problem. Hacettepe Journal of Mathematics and Statistics [Internet]. 2018 Dec. 1;47(6):1447-52. Available from: https://izlik.org/JA33JB93XG