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- Title
LYAPUNOV-TYPE INEQUALITIES FOR A NONLINEAR SEQUENTIAL FRACTIONAL BVP IN THE FRAME OF GENERALIZED HILFER DERIVATIVES.
- Authors
NGUYEN MINH DIEN; NIETO, JUAN J.
- Abstract
We consider a nonlinear sequential fractional boundary value problem (BVP) in the frame of generalized ψ -Hilfer derivatives. We obtain the Green function and some of its properties, from which we derive a new Lyapunov-type inequality for our problem. As a consequence, we present a lower bound for the eigenvalues of the problem. We give some existence results. We emphasize that our results are still valid for some other classes of source functions having some singularities.
- Subjects
MATHEMATICAL inequalities; LYAPUNOV functions; SEQUENTIAL analysis; DERIVATIVES (Mathematics); MATHEMATICAL bounds; MATHEMATICAL singularities
- Publication
Mathematical Inequalities & Applications, 2022, Vol 25, Issue 3, p851
- ISSN
1331-4343
- Publication type
Article
- DOI
10.7153/mia-2022-25-54