Lyapunov-type inequalities for Hadamard type fractional boundary value problems

Jaganmohan Jonnalagadda; Basua Debananda; Jaganmohan Jonnalagadda; Basua Debananda

doi:10.3934/math.2020078

AIMS Mathematics

2020, Volume 5, Issue 2: 1127-1146. doi: 10.3934/math.2020078

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Research article

Lyapunov-type inequalities for Hadamard type fractional boundary value problems

Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad-500078, Telangana, India

Received: 03 November 2019 Accepted: 29 December 2019 Published: 14 January 2020
MSC : Primary: 34A08, 34A40; Secondary: 26D10, 33E12, 34C10

In this paper, we present few Lyapunov-type inequalities for Hadamard fractional boundary value problems associated with different sets of boundary conditions. Further, we discuss two applications of the established results.
- Hadamard fractional derivative,
- boundary value problem,
- Green’s function,
- Lyapunovtype inequality,
- eigenvalue,
- lower bound,
- disconjugacy,
- disfocality
Citation: Jaganmohan Jonnalagadda, Basua Debananda. Lyapunov-type inequalities for Hadamard type fractional boundary value problems[J]. AIMS Mathematics, 2020, 5(2): 1127-1146. doi: 10.3934/math.2020078

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Abstract

In this paper, we present few Lyapunov-type inequalities for Hadamard fractional boundary value problems associated with different sets of boundary conditions. Further, we discuss two applications of the established results.

References

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