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A Note on Lyapunov-type Inequalities for Fractional Boundary Value Problems with Sturm-Liouville Boundary Conditions.
- Source :
-
Journal of Mathematical Extension . 2021, Vol. 15 Issue 4, p1-12. 12p. - Publication Year :
- 2021
-
Abstract
- In this note, we study Cauchy-Schwarz-type inequality for fractional Strum-Liouville boundary value problem containing Caputo derivative of order α, 1 < α ≤ 2. A lower bound for the smallest eigenvalue is determined using this inequality. We give a comparison between the smallest eigenvalue and its lower bound obtained from the Lyapunov-type and Cauchy-Schwarz-type inequalities which indicate the properties of eigenvalues. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17358299
- Volume :
- 15
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Extension
- Publication Type :
- Academic Journal
- Accession number :
- 150266759