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Mathematics > Classical Analysis and ODEs

arXiv:1807.11837 (math)
[Submitted on 31 Jul 2018]

Title:Lyapunov-Type Inequalities for Discrete Riemann-Liouville Fractional Boundary Value Problems

Authors:Jagan Mohan Jonnalagadda
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Abstract:In this article we establish a few Lyapunov-type inequalities for two-point discrete fractional boundary value problems involving Riemann-Liouville type backward differences. To illustrate the applicability of established results, we obtain criteria for the nonexistence of nontrivial solutions and estimate lower bounds for eigenvalues of the corresponding eigenvalue problems. We also apply these inequalities to deduce criteria for the nonexistence of real zeros of certain discrete Mittag-Leffler functions.
Subjects: Classical Analysis and ODEs (math.CA)
MSC classes: Primary 34A08, 34B05, 26D15, Secondary 39A10, 39A12
Cite as: arXiv:1807.11837 [math.CA]
  (or arXiv:1807.11837v1 [math.CA] for this version)
  https://doi.org/10.48550/arXiv.1807.11837
Journal reference: Int. J. Difference Equ. Vol. 13, No. 2, 2018, 85 - 103

Submission history

From: Jaganmohan Jonnalagadda Dr. [view email]
[v1] Tue, 31 Jul 2018 14:30:05 UTC (9 KB)
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