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| Titre: | Nonlinear singular p -laplacian boundary value problems in the frame of conformable derivative |
| Auteur(s): | Bouloudene, Mokhtar
Alqudah, Manar A.
Fahd, Jarad
Adjabi, Yassine
Abdeljawad, Thabet |
| Mots-clés: | Local fractional derivative
Conformable derivative
Necessary and sufficient condition
Multipoint boundary value problem
Singular nonlinear boundary value problem
p -Laplace operator
Positive solution
Upper and lower solutions method
Fixed point theorems
Cone |
| Date de publication: | 2021 |
| Editeur: | American Institute of Mathematical Sciences |
| Résumé: | This paper studies a class of fourth point singular boundary value problem of p-Laplacian operator in the setting of a specific kind of conformable derivatives. By using the upper and lower solutions method and fixed point theorems on cones., necessary and sufficient conditions for the existence of positive solutions are obtained. In addition, we investigate the dependence of the solution on the order of the conformable differential equation and on the initial conditions. |
| URI/URL: | doi:10.3934/dcdss.2020442
http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/7098 |
| ISSN: | 1937-1179 |
| Collection(s) : | Publications Internationales
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