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NONLINEAR SINGULAR p-LAPLACIAN BOUNDARY VALUE PROBLEMS IN THE FRAME OF CONFORMABLE DERIVATIVE

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2021

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Abstract

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.

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Conformable Derivative, Necessary and Suf-Ficient Condition, Multipoint Boundary Value Problem, Singular Nonlinear Boundary Value Problem, P-Laplace Operator, Positive Solution, Upper and Lower Solutions Method, Local Fractional Derivative, Fixed Point Theorems, Cone

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Bouloudene, 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.

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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S

Volume

14

Issue

10

Start Page

3497

End Page

3528