Bouloudene, MokhtarAlqudah, Manar A.Jarad, FahdAdjabi, YassineAbdeljawad, Thabet2022-08-242022-08-242021Bouloudene, Mokhtar...et al. (2021). "Nonlinear singular p-Laplacian boundary value problems in the frame of conformable derivative", Discrete and Continuous Dynamical Systems - Series S, Vol. 14, No. 10, pp. 3497-3528.1937-1632http://hdl.handle.net/20.500.12416/5761This 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. © 2021 American Institute of Mathematical Sciences. All rights reserved.eninfo:eu-repo/semantics/openAccessConeConformable DerivativeFixed Point TheoremsLocal Fractional DerivativeMultipoint Boundary Value ProblemNecessary and Sufficient ConditionP -Laplace OperatorPositive SolutionSingular Nonlinear Boundary Value ProblemUpper and Lower Solutions MethodArticle14103497352810.3934/DCDSS.2020442