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/20.500.12416/5755This 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.eninfo:eu-repo/semantics/openAccessConformable DerivativeNecessary and Suf-Ficient ConditionMultipoint Boundary Value ProblemSingular Nonlinear Boundary Value ProblemP-Laplace OperatorPositive SolutionUpper and Lower Solutions MethodLocal Fractional DerivativeFixed Point TheoremsConeArticle14103497352810.3934/dcdss.2020442