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A Note on Lyapunov-type Inequalities for Fractional Boundary Value Problems with Sturm-Liouville Boundary Conditions.

Authors :
Chavada, Anil
Pathak, Nimisha
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