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Lyapunov‐ and Hartman–Wintner‐type inequalities for a nonlinear fractional BVP with generalized ψ ‐Hilfer derivative
Author(s) -
Zohra Berrabah Fatima,
Benaouda Hedia,
Mokhtar Kirane
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6590
Subject(s) - mathematics , type (biology) , eigenvalues and eigenvectors , lyapunov function , fractional calculus , nonlinear system , mathematical analysis , boundary value problem , dirichlet boundary condition , ecology , physics , quantum mechanics , biology
In this paper, we extend Lyapunov‐ and Hartman–Wintner‐type inequalities for fractional differential equation with Dirichlet‐type boundary conditions and generalized Hilfer fractional derivative. An upper bound of eigenvalues of the corresponding problem is obtained; finally, a Hartman–Wintner‐type inequality is presented.