Open AccessNonlinear singular $ p $ -Laplacian boundary value problems in the frame of conformable derivative
Author(s) -
Mokhtar Bouloudene,
Manar A. Alqudah,
Fahd Jarad,
Yassine Adjabi,
Thabet Abdeljawad
Publication year - 2021
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2020442
Subject(s) - conformable matrix , mathematics , laplace operator , boundary value problem , nonlinear system , mathematical analysis , class (philosophy) , pure mathematics , operator (biology) , derivative (finance) , computer science , physics , biochemistry , chemistry , repressor , quantum mechanics , artificial intelligence , transcription factor , financial economics , economics , gene
This paper studies a class of fourth point singular boundary value problem of \begin{document}$ p $\end{document} -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.