@Article{AAMM-16-5,
author = {Samah, Horrigue and Mona, Alsulami and Bayan, Alsaeedi, 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 = {<p style="text-align: justify;">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&nbsp;<br/></p><p style="text-align:center"><img src="https://admin.global-sci.org/uploads/ueditor/image/20240722/1721630403664206.png" title="1721630403664206.png" alt="image.png" width="514" height="64"/></p><p style="text-align: justify;">where $λ&gt;0, 0&lt;\gamma&lt;1&lt; p$ and $\frac{1}{p}&lt;\alpha≤1,$ $g∈C([0,T])$ 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.<br/></p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2022-0009},
url = {https://global-sci.com/article/90881/the-nehari-manifold-for-a-class-of-singular-psi-riemann-liouville-fractional-with-p-laplacian-operator-differential-equations}
}