Lyapunov- and Hartman–Wintner-type inequalities for a nonlinear fractional BVP with generalized ψ-Hilfer derivative

Berrabah Fatima Zohra; Hedia Benaouda; Kirane Mokhtar

doi:10.1002/mma.6590

Lyapunov- and Hartman–Wintner-type inequalities for a nonlinear fractional BVP with generalized ψ-Hilfer derivative

Berrabah Fatima Zohra, Hedia Benaouda, Kirane Mokhtar

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	British English
Pages (from-to)	2637-2649
Number of pages	13
Journal	Mathematical Methods in the Applied Sciences
Volume	44
Issue number	3
DOIs	https://doi.org/10.1002/mma.6590
State	Published - Feb 2021

Keywords

boundary value problem
eigenvalue problem
Hartman–Wintner inequality
Lyapunov inequality
ψ-Hilfer fractional derivative

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10.1002/mma.6590

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title = "Lyapunov- and Hartman–Wintner-type inequalities for a nonlinear fractional BVP with generalized ψ-Hilfer derivative",

abstract = "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.",

keywords = "boundary value problem, eigenvalue problem, Hartman–Wintner inequality, Lyapunov inequality, ψ-Hilfer fractional derivative",

author = "Zohra, {Berrabah Fatima} and Hedia Benaouda and Kirane Mokhtar",

note = "Funding Information: M. Kirane thanks the support of RUDN through the “RUDN University program 5‐100.” Publisher Copyright: {\textcopyright} 2020 John Wiley & Sons, Ltd.",

year = "2021",

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T1 - Lyapunov- and Hartman–Wintner-type inequalities for a nonlinear fractional BVP with generalized ψ-Hilfer derivative

AU - Zohra, Berrabah Fatima

AU - Benaouda, Hedia

AU - Mokhtar, Kirane

PY - 2021/2

Y1 - 2021/2

N2 - 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.

AB - 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.

KW - boundary value problem

KW - eigenvalue problem

KW - Hartman–Wintner inequality

KW - Lyapunov inequality

KW - ψ-Hilfer fractional derivative

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U2 - 10.1002/mma.6590

DO - 10.1002/mma.6590

M3 - Article

AN - SCOPUS:85087145362

SN - 0170-4214

VL - 44

SP - 2637

EP - 2649

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 3

ER -

Lyapunov- and Hartman–Wintner-type inequalities for a nonlinear fractional BVP with generalized ψ-Hilfer derivative

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