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Lyapunov-type inequalities for fractional quasilinear problems via variational methods.
- Source :
- Journal of Nonlinear Sciences & Applications (JNSA); 2017, Vol. 10 Issue 5, p2471-2486, 16p
- Publication Year :
- 2017
-
Abstract
- In this paper, by variational methods, some Lyapunov-type inequalities are established for fractional quasilinear problems involving left and right Riemann-Liouville fractional derivative operators. To the authors' knowledge, this is the first work, where Lyapunov-type inequalities for fractional boundary value problems are investigated by using variational methods. As an application of the obtained inequalities, we extend the notion of generalized eigenvalues to a fractional quasilinear system, and we derive some geometric properties of the fractional generalized spectrum. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 20081898
- Volume :
- 10
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Journal of Nonlinear Sciences & Applications (JNSA)
- Publication Type :
- Academic Journal
- Accession number :
- 123580457
- Full Text :
- https://doi.org/10.22436/jnsa.010.05.17