@Article{AAMM-16-1104,
author = {Horrigue , SamahAlsulami , Mona and Alsaeedi , Bayan Abduallah},
title = {The Nehari Manifold for a Class of Singular $\psi$-Riemann-Liouville Fractional with $p$-Laplacian Operator Differential Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2024},
volume = {16},
number = {5},
pages = {1104--1120},
abstract = {
Using Nehari manifold method combined with fibring maps, we show the
existence of nontrivial, weak, positive solutions of the nonlinear $\psi$-Riemann-Liouville
fractional boundary value problem involving the $p$-Laplacian operator, given by
where $λ>0, 0<\gamma<1< p$ and $\frac{1}{p}<\alpha≤1,$ $g∈C([0,T])$ and $f ∈C^1
([0,T]×\mathbb{R},\mathbb{R}).$ A useful
examples are presented in order to illustrate the validity of our main results.
},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2022-0009},
url = {http://global-sci.org/intro/article_detail/aamm/23287.html}
}
TY - JOUR
T1 - The Nehari Manifold for a Class of Singular $\psi$-Riemann-Liouville Fractional with $p$-Laplacian Operator Differential Equations
AU - Horrigue , Samah
AU - Alsulami , Mona
AU - Alsaeedi , Bayan Abduallah
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 1104
EP - 1120
PY - 2024
DA - 2024/07
SN - 16
DO - http://doi.org/10.4208/aamm.OA-2022-0009
UR - https://global-sci.org/intro/article_detail/aamm/23287.html
KW - $\psi$-Riemann-Liouville fractional derivative, nonlinear fractional differential equations, $p$-Laplacian operator, existence of solutions, Nehari manifold method.
AB -
Using Nehari manifold method combined with fibring maps, we show the
existence of nontrivial, weak, positive solutions of the nonlinear $\psi$-Riemann-Liouville
fractional boundary value problem involving the $p$-Laplacian operator, given by
where $λ>0, 0<\gamma<1< p$ and $\frac{1}{p}<\alpha≤1,$ $g∈C([0,T])$ and $f ∈C^1
([0,T]×\mathbb{R},\mathbb{R}).$ A useful
examples are presented in order to illustrate the validity of our main results.
Samah Horrigue, Mona Alsulami & Bayan Abduallah Alsaeedi. (2024). The Nehari Manifold for a Class of Singular $\psi$-Riemann-Liouville Fractional with $p$-Laplacian Operator Differential Equations.
Advances in Applied Mathematics and Mechanics. 16 (5).
1104-1120.
doi:10.4208/aamm.OA-2022-0009
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